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Name ———————————————————————
CHAPTER
1
Date ————————————
Chapter Test A
For use after Chapter 1
Evaluate the expression.
Answers
1. 12 2 q when q 5 8
2. 3x when x 5 9
3. w 3 when w 5 2
4.
24
t
} when t 5 4
6. (2.6)3
7. n6
8. The height of a horse is often measured in hands. You can estimate
the height (in inches) of a horse by using the expression 4h, where h
is the number of hands. How tall is a horse that measures 14 hands?
Evaluate the expression.
9. 15 2 7 p 2
2.
3.
Write the power as a product.
5. 104
1.
4.
5.
6.
7.
10. 2 1 23 4 4
11. 5(32 2 4)
8.
Translate the verbal phrase into an algebraic expression.
9.
12. The sum of a number x and 9
Write an equation or an inequality.
10.
11.
14. Three more than twice a number b is equal to 13.
12.
15. The product of 5 and a number k is less than 60.
13.
Check whether the given number is a solution of the equation
or the inequality.
14.
16. 10x 2 3 5 27; 3
17. 4y 2 1 ≥ 20; 4
15.
18. 2x 1 1 < 17; 8
19. 4a 2 7 5 3a 2 4; 3
16.
20. A bicycle travels at an average speed of 15 miles per hour.
17.
How many miles does the bicycle travel in 1.5 hours?
18.
Tell whether the statement is always, sometimes, or never
true.
19.
21. For a given whole number x, the expression 10x represents an even
20.
number.
22. For any positive number x, x2 < x
21.
22.
10
Algebra 1
Chapter 1 Assessment Book
Copyright © Holt McDougal. All rights reserved.
13. The number of quarters in d dollars
Name ———————————————————————
Chapter Test A
CHAPTER
1
continued
For use after Chapter 1
Tell whether the pairing is a function.
23.
Date ————————————
Input
Output
0
24.
Answers
23.
Input
Output
3
1
12
24.
5
7
2
6
25.
See left.
10
7
2
3
15
11
3
1.5
26.
See left.
27.
See left.
Make a table for the function. Identify the range of the
function.
25. y 5 2x 1 1
28.
Domain: 0, 1, 2, 3
29.
Input, x
Output, y
26. y 5 20 2 3x
Domain: 0, 2, 4, 6
Input, x
27. The table shows the height H (in feet) of an object as a function
of the time t (in seconds) after being thrown vertically upward.
Graph the function for the domain given in the table.
Time elapsed, t
0
1
2
3
4
5
Height, H
6
23
28
24
18
13
Determine whether the graph represents a function.
28.
29.
y
4
3
2
1
O
Height (in feet)
Copyright © Holt McDougal. All rights reserved.
Output, y
H
28
24
20
16
12
8
4
0
0 1 2 3 4 5 6 t
Time (in seconds)
y
4
3
2
1
1
2
3
4 x
O
1
2
3 4 x
Algebra 1
Chapter 1 Assessment Book
11
Name ———————————————————————
CHAPTER
1
Date ————————————
Chapter Test B
For use after Chapter 1
Evaluate the expression.
Answers
1. 34.5x when x 5 4
2.
9
10
1
3
} y when y 5 }
1.
2.
Evaluate the power.
3. 54
4. 17
1 5
5. }
2
1 2
6. You can convert temperatures in degrees Fahrenheit to degrees
9
Celsius by using the expression }
C 1 32, where C is the temperature
5
(in degrees Celsius). Convert 358C to degrees Fahrenheit.
Evaluate the expression.
3.
4.
5.
6.
7.
8. 3[15 2 (23 2 6)2]
7. 16 4 (4 2 2) 2 3
8.
Evaluate the expression for the given values of the variables.
9. 3m 2 n when m 5 5 and n 5 4
10. 2u2 1 v when u 5 3 and v 5 7
10.
11. A rectangular box is created by cutting out squares of equal sides
11.
of lengths x from a piece of cardboard 10 inches by 15 inches and
folding up the sides as shown in the figure. The volume of the box is
given by V 5 x(10 2 2x)(15 2 2x). Find the volume of the box when
the side length of the square is 3 inches.
10 in.
x
x
x
Write an algebraic expression, an equation, or an inequality.
12. The quotient of the square of a number t and 14
13. The product of 6 and the quantity 2 more than a number x is
at least 45.
14. The sum of 4 and the quotient of a number k and 9 is 12.
Check whether the given number is a solution of the equation
or the inequality.
r
15. 7z 1 8 > 20; 2
16. } 1 15 5 20; 25
5
16.
Copyright © Holt McDougal. All rights reserved.
15.
x
Algebra 1
Chapter 1 Assessment Book
13.
x
x
x
12.
14.
15 in.
x
12
9.
Name ———————————————————————
Chapter Test B
CHAPTER
1
Date ————————————
continued
For use after Chapter 1
17. A carpet outlet advertises a price of $470.40 to carpet a 12-foot
by 16-foot room. If a customer was given a price of $725.20 for
carpeting a room that is 16 feet wide, what is the length of the room?
Answers
17.
18.
Tell whether the statement is always, sometimes, or never
true.
18. For a given whole number x, the expression 4x represents an even
number.
19.
20.
19. For any positive number x, x2 > x – 1.
21.
Write a rule for the function.
22.
20.
Input, x
1
3
5
7
Output, y
2
6
10
14
See left.
23.
21.
Input, x
12
15
18
21
Output, y
4
5
6
7
See left.
Find the range of the function. Then graph the function.
24.
1
22. y 5 } x 1 3
2
25.
23. y 5 x 2 6
Copyright © Holt McDougal. All rights reserved.
Domain: 0, 1, 2, 3, 4
Domain: 10, 12, 14, 16, 18
y
y
16
6
5
4
3
2
1
⫺4 ⫺3 ⫺2
O
14
1 2
3
12
10
8
6
4
2
4 x
⫺2
O
2
4
6
8 10 12 14 16 18 x
Determine whether the graph represents a function.
24.
25.
y
4
3
2
1
3
2
1
O
y
4
1
2
3
4 x
O
1
2
3
4 x
Algebra 1
Chapter 1 Assessment Book
13
Name ———————————————————————
CHAPTER
1
Date ————————————
Chapter Test C
For use after Chapter 1
Evaluate the expression.
1.
2
n3 when n 5 }3
Answers
2.
x
1
2
}
y when x 5 6 and y 5 }
3. You can estimate your distance (in miles) from a thunderstorm by
t
, where t is the number of seconds between
using the expression }
4.8
seeing the lightning and hearing the thunder. How far away is the
thunderstorm, if 24 seconds after you see the lightning you hear
the thunder?
1.
2.
3.
4.
5.
Evaluate the expression.
4.
[15 1 (52 p 2)] 4 13
(37 2 26)2 2 6
5. }}
32 4 22 2 (42 2 13)
Evaluate the expression for the given value of the variable.
6.
7.
8.
6. 8 1 4(q 2 3) 1 q when q 5 6
9.
7.
2m 2 n when m 5 5 and n 5 3
}
m2 2 2n 1 2
10.
8. The formula for the area of a trapezoid is one-half the product
of the sum of the bases times the height. Find the area of the
trapezoid below.
11.
12.
6 cm
13.
5 cm
14 cm
Write an equation or an inequality.
9. The product of 5 and the sum of a number n and 7 is less than the
quotient of the number n and 2.
10. Three times the sum of 4 and a number y squared is the same as
the difference of 14 and the number y.
Tell whether the statement is always, sometimes, or never true.
11. For a given whole number x, the expression 13x 1 1 represents an
odd number.
12. For any positive number x, 3x2 > 6x.
Check whether the given number is a solution of the equation
or inequality.
x21
13. } 1 5 > x 1 1; 8
2
14
Algebra 1
Chapter 1 Assessment Book
14. 3(x 2 7) 5 19 2 x; 10
Copyright © Holt McDougal. All rights reserved.
14.
Name ———————————————————————
Chapter Test C
CHAPTER
1
Date ————————————
continued
For use after Chapter 1
15. Your aunt wants to spend at most $800 on a video camera and video-
tapes. She plans to buy the camera for $695 and tapes for $5.75 each.
Can she buy 20 videotapes?
16. You invested $1500 in a bank account for 5 years and received $150
in interest. What was the annual simple interest rate for the account?
Answers
15.
16.
17.
17. At a yard sale, you find a number of paperback books by your favor-
Amount left (in dollars)
ite author. You have $10 and each book is priced at $.75. Write a rule
for the amount of money you have left as a function of the number of
books you buy. Then use the grid below to graph the function.
y
10
9
8
7
6
5
4
3
2
1
0
See left.
18.
See left.
See left.
19.
20.
0 1 2 3 4 5 6 7 8 9 10 11 12 13 x
Number of books
Copyright © Holt McDougal. All rights reserved.
Make a table for the function. Identify the range of the
function. Then graph the function.
1
18. y 5 } x 21
3
y
9
8
7
6
5
4
Domain: 12, 15, 21, 30
Input, x
Output, y
3
2
1
O
3
6
9 12 15 18 21 24 27 30 x
Determine whether the graph represents a function.
19.
y
4
20.
3
2
1
3
2
1
O
y
4
1
2
3
4 x
O
1
2
3
4 x
Algebra 1
Chapter 1 Assessment Book
15
Name ———————————————————————
Date ————————————
Chapter Test A
CHAPTER
2
For use after Chapter 2
Tell whether the number is a real number, a rational number,
an irrational number, an integer, or a whole number.
5
1. 1 }
8
2. 210
3. 0.2
4. 7
1
5. Graph 23, }, 0, 22 on the number line. Then order the numbers
2
Answers
1.
2.
from least to greatest.
3.
24
⫺3
⫺2
⫺1
0
1
6. Let U be the set of integers from 0 to 9. Find A ø B and A ù B for
4.
the sets A 5 {3, 5, 8} and B 5 {0, 1, 2, 8}.
Identify the property being illustrated.
5.
See left.
7. (22 1 3) 1 5 5 22 1 (3 1 5)
8. 7 1 (27) 5 0
6.
9. 2(x 1 3) 5 2x 1 6
10. 6 p (23) 5 23 p 6
Find the sum.
12. 8 1 (22)
13. 213 1 6
8.
14. In Alaska, the elevation of Mount McKinley is 45,514 feet higher
than the Aleutian Trench, which is 25,194 feet below sea level.
What is the elevation of Mount McKinley?
9.
10.
Find the difference.
15. 11 2 (29)
11.
16. 27 2 5
17. 215 2 (28)
12.
13.
14.
15.
16.
17.
30
Algebra 1
Chapter 2 Assessment Book
30
Copyright © Holt McDougal. All rights reserved.
11. 24 1 (21)
7.
Name ———————————————————————
Chapter Test A
CHAPTER
2
Date ————————————
continued
For use after Chapter 2
Tell whether the statement is true or false. If it is false, give
a counterexample.
Answers
18.
18. If a number is a negative integer, then the number is a whole number.
19. If a number is an integer, then the number is a real number.
19.
20.
Find the change in temperature or elevation.
20. From 358F to 2128F
21.
21. From 2560 meters to 2240 meters
22.
Evaluate the expression when x 5 7 and y 5 23.
23.
22. x 1 y
23. x 2 y
24.
⏐y⏐ 2 x
Find the product or quotient.
24.
25.
25. 29(3)
26. 25 p 0
3
27. } (212)
4
26.
28. 218 4 (23)
29. 28 4 (27)
1
30. 215 4 }
2
27.
28.
31. Find the mean of the numbers 212, 29, 3, and 6.
Evaluate the expression when x 5 22 and y 5 25.
33. 2x 1 2y
32. 2xy
2x 1 y
34. }
23
29.
30.
Copyright © Holt McDougal. All rights reserved.
31.
Simplify the expression.
32.
35. 9 1 7a 2 2 2 10a
33.
36. 3x 1 6(x 2 5)
37.
34.
14x 2 2
2
}
35.
38. Find the perimeter and the area of the rectangle with the given
dimensions.
36.
37.
5
38.
2x + 14
39.
Evaluate the expression.
}
39. 6Ï 25
}
40. Ï 121
3 }
41. 2Î 1331
40.
41.
Algebra 1
Chapter 2 Assessment Book
31
Name ———————————————————————
CHAPTER
2
Date ————————————
Chapter Test B
For use after Chapter 2
Tell whether each number is a real number, a rational number,
an irrational number, an integer, or a whole number.
}
2. Ï 12
1. 20.75
Answers
1.
3. 10
Tell whether the statement is true or false. If it is false, give
a counterexample.
2.
4. If a number is positive, then its opposite is negative.
5. If a number is an integer, then the number is an irrational number.
3.
Order the numbers in the list from least to greatest.
1
1
6. 2}, 20.25, }, 1
5
3
14
1
7. 2}, 24.6, 24.07, 24 }
3
3
8. Let U be the set of integers from 25 to 5. Find A ø B and A ù B for
the sets A 5 {22, 0, 1, 3, 5} and B 5 {22, 21, 0, 1, 3, 5}.
4.
5.
Identify the property being illustrated.
9. (x p 0.5) p 8 5 x p (0.5 p 8)
6.
10. x 1 (2y) 5 2y 1 x
7.
11. 2(5z 2 9) 5 10z 2 18
12. 3a 1 (23a) 5 0
8.
13. 3 2 (212)
14. 222 1 16
15. 20.8 1 (28.9)
7
1
16. } 2 }
2
10
9.
10.
In Exercises 17 and 18, use the table below.
Name
Double
eagle
Eagle
Birdie
Par
Bogey
Double
bogey
11.
Score
23
22
21
0
1
2
12.
17. In golf, the best total score is the lowest score. In 4 holes, you score
a birdie, a par, a double eagle, and a double bogey. Your friend scores
an eagle, a double eagle, a bogey, and a par. Who has the better total
score?
13.
14.
15.
18. What is the difference between your friend’s total score and your
total score?
16.
17.
18.
32
Algebra 1
Chapter 2 Assessment Book
Copyright © Holt McDougal. All rights reserved.
Find the sum or the difference.
Name ———————————————————————
Chapter Test B
CHAPTER
2
Date ————————————
continued
For use after Chapter 2
Evaluate the expression when x 5 25.4 and y 5 2.8.
Answers
20. x 1 ⏐y 2 10⏐
19. y 2 x 2 1.4
19.
20.
Find the product or the quotient.
21. 26(212)
22. 45 4 (23)
21.
5 3
23. } 2}
9 4
24. 27.2 4 8
22.
2
1
26. 2}(18) 2}
3
4
23.
1 2
2
25. 24 4 2}
9
1 2
1 2
24.
27. A person buys items and sells them on a website. The table shows the
profit earned for each item. Suppose that in one week the person sells
8 mantel clocks, 5 framed mirrors, and 3 candles. Find the average
daily profit.
Item
25.
26.
Mantel clock
Framed mirror
Candle
27.
$4.13
2$1.65
$2.36
28.
Profit
29.
Simplify the expression.
28. 10x 2 (x 1 3)
30.
26x 1 15
30. }
210
29. 22x(x 2 6)
31.
31. Use the distributive property and mental math to find the total cost
Copyright © Holt McDougal. All rights reserved.
of 6 notebooks at $3.95 each.
32.
32. Find the perimeter and area of the rectangle with
6
the given dimensions.
4 + 2w
Approximate the square root to the nearest integer.
}
}
33. Ï 35
33.
34.
}
34. 2Ï 150
35. Ï 18
36. The area of a town’s square is 14,400 square feet. Find the side
length of the square.
35.
36.
37.
Evaluate the expression for the given value of x.
}
37. 2 2 Ï x when x 5 25
}
38. 4 Ï x 1 9 when x 5 1
Complete the statement using , or ..
38.
39.
3
39. 5.7 ?
40.
3 }
Î}
125
40.
3 }
Î27 ? 2Î26
Algebra 1
Chapter 2 Assessment Book
33
Name ———————————————————————
CHAPTER
2
Date ————————————
Chapter Test C
For use after Chapter 2
Tell whether the statement is true or false. If it is false, give
a counterexample.
Answers
1.
1. If a number is positive, then its absolute value is negative.
2. If a number is a whole number, then the number is an integer.
3. If a number is a real number, then the number is a rational number.
2.
4. A number is always greater than its opposite.
Order the numbers in the list from least to greatest.
}
5. 2Ï 12 , ⏐3.5⏐,
3.
23 }2, Ï16 , 23.48
}
5
6. Let U be the set of integers from 25 to 5. Find A9 3 B9 for the sets
4.
A 5 {23, 21, 2, 4} and B 5 {25, 24, 23, 3}.
5.
A market surplus or shortage is the difference of the quantity supplied
and the quantity demanded. A positive difference is a surplus, and a
negative difference is a shortage. The graph shows the quantities of
a type of shoe supplied and demanded.
6.
y
60
50
40
30
20
Demand Function
Supply Function
7.
10
0
0 10 20 30 40 50 60 70 80 90 100 x
Price (dollars)
8.
9.
10.
7. Find the market surplus or shortage when the price is $80.
8. Find the market surplus or shortage when the price is $30.
9. Market equilibrium occurs when the demanded quantity is equal to
the supplied quantity. For what price is there market equilibrium?
10. Describe any trends in the surplus or shortage in relationship to
the price.
11.
Complete the statement using the given property.
12.
11. (2x 1 y) 1 z 5
13.
12. 24(6x 2 3) 5
13. 210y 1
34
?
? ; Associative property of addition
? ; Distributive property
5 0; Inverse property of addition
Algebra 1
Chapter 2 Assessment Book
Copyright © Holt McDougal. All rights reserved.
Quantity
In Exercises 7-10, use the following information.
Name ———————————————————————
Chapter Test C
CHAPTER
2
Date ————————————
continued
For use after Chapter 2
Evaluate the expression.
Answers
14. 21.8 1 7.6 1 (23.7)
15. 26.3 2 (217.4) 2 11.2
14.
3
3
1
16. 23 } 1 26 } 19 }
5
2
10
17. 1.9(22.5)(3)
15.
1
6
18. 2} (232) 4 2}
2
5
19.
1
2
1 2
12}53 2 }83 2 4 12}34 p }89 2
16.
17.
20. Due to depreciation, the value of a new car is decreasing. Its value
was $15,750 in 2005. For the first two years, the average rate of
change in value of the car was about 2$4000 per year. For the next
five years, the average rate of change in value of the car was about
2$1150 per year. Find the price of the car when it was bought new
in 1998.
18.
19.
20.
21.
Simplify the expression.
220x 212
21. }
212
22. 3x(x 2 6) 1 (x 2 3)(28)
2
23. 2} x(x 2 16)
3
24. 5xy 2 12xy 1 xy 2 6xy 1 10xy
22.
23.
24.
Evaluate the expression.
25.
x 2 2y 3 when x 5 22 and y 5 25
}
23Ïx 2 7
26. } when x 5 9 and y 5 21
xy
Copyright © Holt McDougal. All rights reserved.
}
Ïx
27. } 2 y 3 when x 5 4 and y 5 22
x
25.
26.
27.
28.
2x 2y
28. }
when x 5 1 and y 5 24
y2 2 4
29.
29. The area of a square park in a city is 22,500 square feet. Find the
30.
perimeter of the park.
31.
Complete the statement using , or ..
3 }
17
30. } ? Î 121
3
3 }
31. 2Î 29 ?
3
Î}
21
Algebra 1
Chapter 2 Assessment Book
35
Name ———————————————————————
CHAPTER
3
Date ————————————
Chapter Test A
For use after Chapter 3
Solve the equation.
1. a 1 8 5 212
Answers
2. 6q 5 48
y
3. } 5 9
3
4. The rectangle has an area of 60 square feet. Write and solve an
equation to find the value of x.
1.
2.
3.
4.
x
5.
12 in.
6.
Solve the equation.
5. 3t 2 5 5 16
7.
b
6. } 11 5 3
4
7. 2m 1 7m 5 45
8. The output of a function is 6 more than 2 times the input. Write and
8.
9.
solve an equation to find the input when the output is 210.
9. You have $25 to buy a gallon of milk for $3.75 and as many boxes
of cereal as you can for $2.80 each. Write and solve an equation that
represents this situation. Show that your answer is reasonable.
10.
10. 3p 2 7p 1 22 5 2
11.
11. z 1 3(z 2 7) 5 19
12.
3
12. }w 5 12
4
13.
14.
In Exercises 13 and 14, use the following information.
A young person should sleep 8 hours each night plus
1
4
} hour for every year the person is under 18 years old.
Suppose a young person sleeps 9.5 hours.
13. Which equation could be used to find a, the age of the young person?
1
a. } a 5 9.5
4
1
b. } a 1 8 5 9.5
4
1
c. } (18 2 a) 1 8 5 9.5
4
14. Solve the equation to find the age of the young person.
50
Algebra 1
Chapter 3 Assessment Book
Copyright © Holt McDougal. All rights reserved.
Solve the equation.
Name ———————————————————————
CHAPTER
3
Chapter Test A
Date ————————————
continued
For use after Chapter 3
Solve the equation, if possible.
Answers
15. 4y 1 16 5 2y 2 14
15.
16. 8x 1 4 5 2(4x 2 3)
16.
17. 6(3b 1 5) 5 2(6b 2 21)
17.
Solve the proportion.
18.
3
c
18. } 5 }
4
2
5
d
19. } 5 }
8
24
19.
15 3
20. } 5 }
5
n
17v
34
21. } 5 }
2
3
20.
2x 2 3
x22
22. } 5 }
3
2
5
22
23. } 5 }
3a 1 8
a21
21.
22.
24. A caterer knows that 18 heads of lettuce are needed to make dinner
salads for 70 people. How many heads of lettuce are needed for a
party of 175 people?
23.
24.
Solve the percent problem.
25.
Copyright © Holt McDougal. All rights reserved.
25. What percent of 80 is 36?
26. What number is 15% of 40?
26.
27. In a recent county election, 16,400 registered voters voted, which
27.
was a 32% voter turnout. How many registered voters are there in
the county?
28.
In Exercises 28 and 29, identify the percent of change as an
increase or decrease. Then find the percent of change.
29.
28. Original: 65
New: 78
29. Original: 46
New: 39.1
30.
Write the equation so that y is a function of x.
30. 5x 1 y 5 12
31. 8x 1 4y 5 220
32. 9x 2 3y 5 12
1
33. The formula for the area of a triangle is given by A 5 } bh.
2
Solve for h.
31.
32.
33.
Algebra 1
Chapter 3 Assessment Book
51
Name ———————————————————————
CHAPTER
3
Date ————————————
Chapter Test B
For use after Chapter 3
Solve the equation, if posssible.
Answers
1. 27 5 22 1 x
3
2
2. b 2 } 5 }
5
5
2
3. 2} d 5 8
3
4. 17 5 14 1 6y
5. 2t 2 5t 5 9
6. 13 2 9w 5 214
7. 7m 2 4 2 2m 5 6
3
8. } (c 1 4) 5 3
4
1.
2.
3.
9. 5(3 2 2y) 1 4y 5 3
11. 7a 2 3.9a 5 6.2
4.
5.
10. 4x 2 1 5 2(2x 1 3)
12. 9 2 5z 5 12 2 (6z 1 7)
6.
7.
13. A radio station has 722 different promotional CDs to possibly give
away. Only 295 of the CDs are designed for individual distribution.
The rest must be given away in sets of 3. How many complete sets
can be given away? Write and solve an equation that represents this
situation. Show that your answer is reasonable.
8.
9.
10.
14. A new plasma-screen television costs $5250. A family makes a
down payment of $552 and pays off the balance in 24 equal monthly
payments. Write and solve an equation to find the monthly payment.
11.
12.
15. On a class trip, there were 45 more girls than boys. The total number
13.
Solve the proportion.
4
12
16. } 5 }
5
y
1.1
w
17. } 5 }
1.2
3.6
16
24t
18. } 5 }
9
27
8
4
19. } 5 }
m13
m
6
12
20. } 5 }
x14
5x 2 13
5
23
21. } 5 }
3z 2 4
1 2 2z
14.
15.
16.
17.
18.
19.
20.
52
Algebra 1
Chapter 3 Assessment Book
21.
Copyright © Holt McDougal. All rights reserved.
of students on the trip was 211. Write and solve an equation to find
the number of girls and the number of boys on the class trip.
Name ———————————————————————
CHAPTER
3
Chapter Test B
Date ————————————
continued
For use after Chapter 3
22. On Monday, biologists tagged 150 sunfish from a lake. On Friday,
the biologists counted 12 tagged fish out of a sample of 400 sunfish
from the same lake. Estimate the total number of sunfish in the lake.
2
23. A recipe for oatmeal raisin cookies calls for 1} cups of flour to
3
make 4 dozen cookies. How many cups of flour are needed to
make 6 dozen cookies?
Answers
22.
23.
24.
25.
Solve the percent problem.
24. 3 is 1.5% of what number?
25. 9 is what percent of 6?
26.
26. What is 26.5% of 46?
27. 70 is 200% of what number?
27.
28. In a renovation project, a football stadium increased its 60,000-seat
capacity by 15%. How many seats will be available when the project
is completed?
28.
29.
In Exercises 29 and 30, identify the percent of change as an
increase or decrease. Then find the percent of change.
29. Original: 82.6
30. Original: 45
Copyright © Holt McDougal. All rights reserved.
New: 70
30.
New: 72
Write the equation in function form.
31.
31. 5x 2 y 5 7
32.
32. 10x 1 3y 1 2 5 9x 1 8
In Exercises 33–35, use the following information.
Anthropologists can estimate the height of a woman by
measuring the length (in centimeters) of her radius bone
(from the wrist to the elbow). The length (in centimeters) of
the radius bone b is given by b 5 0.26h 2 18.85 where h is the
height (in centimeters) of the woman.
33.
34.
35.
33. Solve the equation for h.
34. If the length of a woman’s radius bone is 25 centimeters, estimate the
height of the woman. Round your answer to the nearest centimeter.
35. If 1 in. 5 2.54 cm, convert the woman’s height to inches. Round your
answer to the nearest inch.
Algebra 1
Chapter 3 Assessment Book
53
Name ———————————————————————
CHAPTER
3
Date ————————————
Chapter Test C
For use after Chapter 3
Solve the equation.
Answers
3
1. 2} n 5 12
4
2. 218.4 5 b 2 14.7
1.
3
5
3. } 2 y 5}
4
8
7
4. } x 2 3 5 4
12
2.
1
5. 3 5 } 2 2b
3
2
2
6. } z 1 z 5 }
3
3
3.
7. A music venue has 410 possible tickets to give away in envelopes.
36 envelopes will contain 2 tickets each. The rest of the envelopes
must contain 3 tickets each. How many envelopes will contain
3 tickets? Write and solve an equation that represents this situation.
Show that your answer is reasonable.
4.
5.
6.
7.
8. A contractor wants to use 34 feet of molding, cut into three pieces,
to trim the sides and top of a garage door. The long piece is 1.5 feet
longer than three times the length of each shorter piece. Find the
length of each piece.
Solve the equation, if possible.
9. 3[2 2 3(m 2 2)] 5 12
8.
9.
10.
10. 21.6(b 2 2.35) 5 211.28
11. 2x 1 3(x 2 5) 5 15
12. 4 5 9 2 3(2w 1 1) 2 5w
1
13. 2(c 2 4) 1 8 5 } (6c 1 20)
2
14. 2q 2 4 1 8q 5 7q 2 8 1 3q
15. 27(t 2 3) 1 4t 5 3(7 1 t)
16. 2.1d 1 18 5 2.16(d 1 8)
11.
12.
14.
17. A jewelry maker produces necklaces that sell for $85 each. The
jewelry maker’s costs include $35 in materials for each necklace
plus fixed costs of $1650. How many necklaces must the jeweler
sell to break even?
15.
16.
17.
Solve the proportion.
15
72
18. } 5 }
45
a
9
b
19. } 5 }
12.8
3.2
18.
0.5
c
20. } 5 }
2.4
15
10
5
21. } 5 }
d13
2d 2 3
19.
f22
2f
22. } 5 }
14
7
23.
4.5
3
}5}
g12
0.5g 2 1
20.
21.
22.
23.
54
Algebra 1
Chapter 3 Assessment Book
Copyright © Holt McDougal. All rights reserved.
13.
Name ———————————————————————
CHAPTER
3
Chapter Test C
Date ————————————
continued
For use after Chapter 3
24. The ratio of weight on the moon to weight on Earth is 1 : 6. How
many pounds would a 144-pound person weigh on the moon?
25. A simple syrup used for ice cream toppings requires 2 cups of sugar
2
and }3 cup of boiling water. How many cups of sugar are required for
Answers
24.
25.
26.
2 cups of boiling water?
27.
Solve the percent problem.
26. 48 is 12% of what number?
27. What percent of 16 is 20?
28. What number is 175% of 76?
29. What percent of 200 is 96?
28.
29.
30. The cost of dinner for a party of eight people is $139.50. For large
groups of people an 18% gratuity is added to the cost of the dinner,
after a 6% sales tax. Find the total bill for the dinner.
30.
31.
31. The average lecture class size last year at a community college was
Copyright © Holt McDougal. All rights reserved.
120 students. This year, the average lecture class at the same college
has 216 students. Find the percent of change and tell whether it is an
increase or a decrease.
32.
Write the equation in function form.
33.
1
32. y 2 7 5 } (x 2 9)
3
34.
33. 4x 2 6y 2 8 5 0
In Exercises 34 and 35, use the following information. The
surface area of a cylinder is given by S 5 2πrh 1 2πr 2 where
r is the radius of the base and h is the height of the cylinder.
35.
h
r
34. Solve the formula for h.
35. What is the height of a cylinder when the surface area is
75.36 square inches and the radius is 2 inches? Use 3.14
for π.
Algebra 1
Chapter 3 Assessment Book
55
Name ———————————————————————
CHAPTER
4
Date ————————————
Chapter Test A
For use after Chapter 4
Write the coordinates of the point.
Answers
Y
$
1. A
!
1.
2. B
3. C
#
4. D
2.
X
"
3.
4.
5. Graph the function y 5 22x 2 3 with
5.
Y
See left.
domain 23, 22, 21, 0 in blue. Then
1
perform the transformation (x, y) → (x, }2y)
and graph the image in red. Identify the
domain and range of the function
represented by the image.
/
6.
X
7.
8.
See left.
9.
See left.
10.
See left.
11.
See left.
Tell whether the ordered pair is a solution of the equation.
6. y 5 2x 1 2; (23, 2)
7. 2x 1 y 5 21; (1, 23)
8. Is the amount of water in a bathtub as a function of the minutes since
the water begins flowing discrete or continuous? Explain.
Minutes since water
begins flowing, x
1
2
3
4
5
15
25
35
13.
14.
Draw the line that has the given intercepts.
9. x-intercept: 22
10. x-intercept: 1
y-intercept: 4
y
⫺6
11. x-intercept: 6
y-intercept: 3
y-intercept: 26
Y
Y
6
2
⫺2
⫺2
2
x
X
Find the slope of the line that passes through the points.
12. (4, 2) and (3, 4)
70
Algebra 1
Chapter 4 Assessment Book
13. (5, 1) and (5, 22)
14. (21, 3) and (2, 4)
X
Copyright © Holt McDougal. All rights reserved.
12.
Amount of water in the
bathtub (in gallons), y
Name ———————————————————————
CHAPTER
4
Chapter Test A
Date ————————————
continued
For use after Chapter 4
Identify the slope and y-intercept of the line with the given
equation.
15. y 5 5x 1 2
16. y 5 x 2 4
Answers
15.
17. 2x 1 y 5 26
16.
Solve the equation graphically. Then check your
solution algebraically.
1
18. }(x 1 15) 5 5
19. 24x 2 9 5 22(x 1 5)
3
Y
18.
Y
/
17.
X
/
19.
X
20.
21.
22.
In Exercises 20 and 21, use the following information.
The amount of precipitation varies directly with the duration of the
storm. The table shows the amounts of precipitation for various durations
of storms.
23.
24.
Copyright © Holt McDougal. All rights reserved.
25.
Duration of storm (in hours), d
2
4
6
Amount of rain (in inches), r
1
2
3
20. Write a direct variation equation that relates r and d.
21. How many inches of rain will fall after 5 hours?
Evaluate the function for the given value of x.
22. f(x) 5 3x 1 12; 25
23. g(x) 5 2.25x; 100
Find the value of x so that the function has the given value.
24. h(x) 5 24x 1 3; 11
25. p(x) 5 9x 2 2; 1
Algebra 1
Chapter 4 Assessment Book
71
Name ———————————————————————
Date ————————————
Chapter Test B
CHAPTER
4
For use after Chapter 4
Plot the point in the coordinate plane. Describe the location of
the point.
1. A(21, 3)
Answers
1.
See left.
2.
See left.
3.
See left.
4.
See left.
5.
See left.
6.
See left.
7.
See left.
8.
See left.
y
3
2. B(4, 0)
1
3. C(2, 22)
23
21
1
3
x
4. D(21, 21)
23
1
5. Graph the function y 5 } x 2 1 with
2
Y
domain 24, 22, 0, 2, 4 in blue. Then
perform the transformation
(x, y) → (x, y 1 3) and graph the
image in red. Identify the domain
and range of the function represented
by the image.
/
X
Graph the equation.
7. 3y 2 2x 5 26
y
8. y 5 23
y
y
1
21
21
1
2
3 x
⫺2
2
6 x
⫺2
⫺2
2
23
6 x
9.
⫺6
⫺6
25
10.
9. Suppose the graph in Exercise 8 has the domain x ≥ 0. Classify the
function as discrete or continuous.
11.
Find the x-intercept and the y-intercept of the graph of
the equation.
1
10. 6x 2 4y 5 12
11. 22x 1 5y 5 210 12. y 5 } x 2 2
2
72
Algebra 1
Chapter 4 Assessment Book
12.
Copyright © Holt McDougal. All rights reserved.
6. 3x 2 y 5 5
Name ———————————————————————
CHAPTER
4
Chapter Test B
Date ————————————
continued
For use after Chapter 4
Answers
The graph shows the distance of a
car traveling along a straight road
for 8 hours. A positive velocity is
motion to the right, and a negative
velocity is motion to the left.
13.
13. Determine the rates of
Distance (miles)
In Exercises 13–14, use the following information.
y
120
100
80
60
40
14.
20
change in distance with
respect to time.
0
15.
0 1 2 3 4 5 6 7 8 9 x
Time (hours)
14. Between what two times is
17.
the car not moving?
Identify the slope and y-intercept of the line with the given
equation.
15. y 5 8x 2 3
16.
16. 2x 1 9y 5 9
18.
19.
17. 23x 2 4y 5 216
20.
18. The number of tickets sold s (in millions) to a Florida theme park
can be modeled by the function s 5 14.7t 1 411.6 where t is the
number of years since 2000. Use a graphing calculator to
approximate the year when the total number of tickets sold will be
600 million.
21.
22.
See left.
23.
Determine whether the equation represents direct variation.
If so, identify the constant of variation.
20. 4x 2 3y 5 0
21. 2x 1 y 5 4
24.
In Exercises 22–24, use the following information.
An advertising company charges $150,000 each time a 30-second
commercial is aired. The cost (in thousands of dollars) to produce the
commercial and air it x times is given by the function C(x) 5 150x 1 300.
22. Graph the function.
23. Identify the domain and the
range of the function.
24. How many times could a
station air the commercial if
the advertising company wants
to spend $900,000?
Cost (thousands of dollars)
Copyright © Holt McDougal. All rights reserved.
19. y 5 2x
C
1000
900
800
700
600
500
400
300
200
100
0
0 1 2 3 4 5 x
Number of airings
Algebra 1
Chapter 4 Assessment Book
73
Name ———————————————————————
CHAPTER
4
Date ————————————
Chapter Test C
For use after Chapter 4
1. Plot the points P(22, 23), Q(1, 0),
Answers
y
3
R(3, 0), and S(5, 23) in the coordinate
plane. Connect the points in order.
Identify the resulting figure. Find
its area.
1.
See left.
2.
See left.
3.
See left.
1
1
21
21
3
x
5
23
Graph the given function in blue and identify the range.
Then perform the indicated transformation and graph the
image in red.
2. y 5 4x 1 3; domain 22 ≤ x ≤ 2
3. y 5 22x 2 1; domain x ≤ 0
Transformation: (x, y) → (x, 2y)
1
Transformation: (x, y) → 1 x, 2}2y 2
y
⫺9
9
3
3
1
⫺3
⫺3
4.
y
3
9
x
⫺9
⫺3
⫺1
⫺1
5.
6.
1
x
3
7.
⫺3
8.
4. Classify the function from Exercise 3 as discrete or continuous.
9.
Copyright © Holt McDougal. All rights reserved.
Find the x-intercept and the y-intercept of the graph of the
equation.
3
5. 3x 2 2y 5 8
6. y 5 20.4x 1 1
7. y 5 2} x 1 3
4
The graph shows the distance of a car traveling along a straight
road for 8 hours.
8. Give a verbal description of the trip.
9. What do the intercepts represent in this situation?
Distance (miles)
In Exercises 8 and 9, use the following information.
y
120
100
80
60
40
20
0
0 1 2 3 4 5 6 7 8 9 x
Time (hours)
74
Algebra 1
Chapter 4 Assessment Book
Name ———————————————————————
Chapter Test C
CHAPTER
4
Date ————————————
continued
For use after Chapter 4
In Exercises 10 and 11, use the following information.
Answers
Your family and a friend’s family are going on vacation. The amount of fuel
remaining in your family’s car after driving m miles is given by the equation
a 5 20.03m 1 12 because it has a 12-gallon fuel tank and uses 0.03 gallon
of fuel per mile driven. The amount of fuel remaining in your friend’s van is
given by the equation a 5 20.08m 1 22.
10.
11. Use the graphs to find the
difference of the amount of
fuel remaining in the two fuel
tanks after driving 100 miles.
Fuel (gallons)
10. Graph both equations.
a
24
20
16
12
8
12.
See left.
14.
15.
0
100
200
300
400
m
Distance (miles)
1
12. Solve 26x 5 23 x 1 } graphically.
3
1
11.
13.
4
0
See left.
2
16.
See left.
17.
See left.
y
3
2
Check your solution algebraically.
1
3 2 1O
1
2
3
4 x
2
3
Copyright © Holt McDougal. All rights reserved.
Given that y varies directly with x, write a direct variation
equation that relates x and y.
1
14. x 5 }, y 5 2
3
13. x 5 28, y 5 5
15. x 5 23, y 5 24.5
Graph the function. Compare the graph to the graph of
f(x) 5 x.
1
16. g(x) 5 x 2 5
17. h(x) 5 2} x
2
y
⫺6
y
6
3
2
1
⫺2
⫺2
⫺6
2
6
x
⫺3
⫺1
⫺1
1
3
x
⫺3
Algebra 1
Chapter 4 Assessment Book
75
Name ———————————————————————
Date ————————————
Chapter Test A
CHAPTER
5
For use after Chapter 5
Write an equation in slope-intercept form of the line that has
the given slope and y-intercept.
3
2. slope: }; y-intercept: 21
4
1. slope: 22; y-intercept: 0
Write an equation in slope-intercept form of the line that
passes through the given point and has the given slope m.
3. (2, 23); m 5 3
2
5. (3, 21); m 5 }
3
4. (21, 0); m 5 2
In Exercises 6–9, use the graph that shows gym membership
costs.
6. How much was the initial
Gym Membership Costs
membership fee?
8. Write an equation in
slope-intercept form that
relates the total cost (in
dollars) to the number of
months of the gym
membership.
Cost (dollars)
7. What is the cost per month?
C
400
350
300
250
200
150
100
50
0
Answers
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
See left.
11.
See left.
(5, 205)
(2, 100)
0 1 2 3 4 5 6 7 8 9 10 11 m
9. Find the cost of a gym
12.
Number of months
Copyright © Holt McDougal. All rights reserved.
membership for one year.
13.
Graph the equation.
10. y 2 1 5 2(x 2 4)
11. y 1 2 5 2(x 2 1)
y
y
4
3
2
1
3
2
1
O
23 22
1
2
3 4
5
6 x
O
1 2 3 x
22
23
Tell whether the sequence is arithmetic. If it is, find the next
two terms. If it is not, explain why not.
12. 24, 4, 6, 10, ...
13. 0, 211, 222, 233, ...
Algebra 1
Chapter 5 Assessment Book
89
Name ———————————————————————
Chapter Test A
CHAPTER
5
Date ————————————
continued
For use after Chapter 5
Write an equation for a linear function f that has the given
values.
14. f(23) 5 2 and f(1) 5 0
Answers
14.
15. f (3) 5 23 and f(4) 5 1
15.
In Exercises 16 and 17, use the following information.
For a school band fundraiser, students are selling seat cushions for $4 each
and license plate holders for $6 each. One student raises $304.
16.
17.
16. Write an equation in standard form of the line that models the
possible combinations of seat cushions and license plate holders
the student sold.
18.
17. List two of these possible combinations.
18. Write an equation of the line that passes through the point (4, 7) and
1
is (a) parallel to and (b) perpendicular to the line y 5 }2 x 2 1.
19.
See left.
20.
In Exercises 19–22, use the table that shows the number of
calories in grams of fat.
Fat (g)
31
39
19
34
43
39
35
Calories
580
680
410
590
660
640
570
24.
25.
0 10 20 30 40 50 x
20. Describe the correlation.
21. Draw a line of fit for the data.
22. Use the line of fit from Exercise 19 to predict the number of calories
in a hamburger that contains 28 grams of fat.
Find the zero of the function.
23. f(x) 5 x 2 8
Algebra 1
Chapter 5 Assessment Book
24. f (x) 5 3x 1 9
1
25. f (x) 5 } x 2 1
2
Copyright © Holt McDougal. All rights reserved.
Calories
23.
y
700
650
600
550
500
450
400
Fat (g)
90
See left.
22.
19. Make a scatter plot of the data.
0
21.
Name ———————————————————————
Date ————————————
Chapter Test B
CHAPTER
5
For use after Chapter 5
Write an equation in slope-intercept form of the line shown.
1.
2.
y
1
3
O
3
4
4
3
2
1
5 x
22
4
25
2.
3.
1 x
25 24 23 22
24
1.
y
(25, 4)
Answers
(1, 22)
4.
(0, 25)
5.
In Exercises 3 and 4, use the following information.
A delivery service charges a base price for an overnight delivery of
a package plus an extra charge for each pound the package weighs.
A customer is billed $22.85 for shipping a 3-pound package and
$40 for shipping a 10-pound package.
3. Write an equation that gives the total cost of shipping a package as a
function of the weight of the package.
6.
7.
See left.
8.
See left.
9.
4. Find the cost of shipping a 15-pound package.
Find the missing coefficient in the equation of the line that
passes through the given point.
5. Ax 1 y 5 3; (2, 25)
6. 3x 1 By 5 21; (2, 7)
10.
Copyright © Holt McDougal. All rights reserved.
Graph the equation.
2
7. y 2 2 5 }(x 2 4)
3
8. y 1 4 5 23(x 1 2)
y
y
3
3
2
1
2
1
22
1 2
O
3
4 x
24
22
23
22
O
1 2 x
22
23
In Exercises 9 and 10, use the table.
x
2
4
6
9
11
y
23
5
13
25
33
9. Explain why the data can be modeled by a linear equation.
10. Write an equation in point-slope form that relates y to x.
Algebra 1
Chapter 5 Assessment Book
91
Name ———————————————————————
CHAPTER
5
Chapter Test B
Date ————————————
continued
For use after Chapter 5
Tell whether the sequence is arithmetic. If it is, find the next
two terms. If it is not, explain why not.
11. 3, 28, 219, 230, ...
Answers
11.
12. 21, 22, 43, 65 ...
12.
Write an equation in standard form of the line that passes
through the given point and has the given slope m or that
passes through the given points.
13.
14.
1
13. (24, 3), m 5 }
2
14. (2, 23), m 5 24
15. (22, 21), (2, 26)
16. (22, 5), (3, 5)
15.
16.
In Exercises 17 and 18, use the following information.
17.
A piggy bank contains only nickels and quarters. The total value in the bank
is $3.80.
18.
17. Write an equation in standard form that models the possible
combinations of nickels and quarters in the piggy bank.
18. List two of these possible combinations.
19. Write an equation of the line that passes through the point (24, 21)
and is (a) parallel to and (b) perpendicular to the line 2x 1 7y 5 14.
19.
Fat (g)
31
39
19
34
43
39
35
Calories
580
680
410
590
660
640
570
20.
20. Make a scatter plot of the data.
22. Use technology to find the equation of
the best-fitting line for the data.
23. Graph the best-fitting line for the data
on the scatter plot.
Calories
21. Describe the correlation.
y
700
650
600
550
500
450
400
0
24. Predict the number of calories in a
hamburger that contains 28 grams of fat.
See left.
21.
0 10 20 30 40 50 x
Fat (g)
22.
23.
24.
92
Algebra 1
Chapter 5 Assessment Book
See left.
Copyright © Holt McDougal. All rights reserved.
In Exercises 20–24, use the table.
Name ———————————————————————
Date ————————————
Chapter Test C
CHAPTER
5
For use after Chapter 5
Write an equation in the given form of the line shown.
1. Slope-intercept form
2. Point-slope form
y
5
(21, 3)
22
2
1
O
1.
y
(0, 4)
2.
4
3
3.
23.5 1
2.5
x
1
Answers
2
3 4
23 22
5
3 x
3
4.
5.
22
3. The freezing point of water is 08C or 328F. The boiling point of water
6.
See left.
is 1008C or 2128F. Develop the formula that relates the number of
degrees in Fahrenheit to the number of degrees in Celsius.
7.
See left.
Write an equation for a linear function f that has the given
values.
4. f(23) 5 2 and f(22) 5 21
3
3
5. f (22) 5 2} and f (25) 5 }
4
4
8.
9.
10.
Graph the equation.
4
6. y 1 2 5 2}(x 1 5)
3
1
7. y 2 4 5 }(x 2 1)
3
y
y
5
4
3
Copyright © Holt McDougal. All rights reserved.
4
2
28 26 24
O
11.
2 4 x
2
1
24
26
28
23 22
O
1 2
3 x
Find the value of k so that the three points lie on the same
line. Write the equation of the line in point-slope form.
8. (1, 22), (22, 4), (4, k)
9. (2, 2), (21, 5), (3, k)
Write a rule for the n th term of the sequence. Find a100.
10. 14, 22, 218, 234, ...
11. 12.7, 14.5, 16.3, 18.1
Algebra 1
Chapter 5 Assessment Book
93
Name ———————————————————————
Chapter Test C
CHAPTER
5
Date ————————————
continued
For use after Chapter 5
Write an equation in standard form of the line that passes
through the given point and has the given slope m or that
passes through the given points.
Answers
2
12. (25, 24), m 5 }
5
13. (3, 22), m 5 0
13.
14. (4, 9), (4, 21)
15. (22, 4), (4, 1)
12.
14.
15.
16. Determine whether the figure is a right triangle. A right triangle
contains one 90˚ angle. Justify your answer using slopes.
16.
y
3
(4, 2)
2
(25, 1)
1
23 22
25
O
2 3
4 x
17.
(22, 23)
23
See left.
18.
In Exercises 17–21, use the table. It shows the gas mileages
(in miles per gallon) for cars of different weights (in thousands
of pounds).
Weight
2
2.4
2.5
2.8
2.9
3.1
3.2
3.5
3.6
3.9
Mileage
34
34
28
23
25
23
23
22
24
18
19.
18. Describe the correlation.
19. Use technology to find the
equation of the best-fitting
line for the data.
20. Predict the gas mileage for
a car the weights 3400 pounds.
Miles per gallon
17. Make a scatter plot of the data.
y
36
32
28
24
20
16
0
21.
0 2.0
2.5
3.0
3.5
21. Find the zero of the function
from Exercise 19 and explain what it means in this situation.
94
Algebra 1
Chapter 5 Assessment Book
4.0 x
Weight (thousands of pounds)
Copyright © Holt McDougal. All rights reserved.
20.
Name ———————————————————————
CHAPTER
6
Date ————————————
Chapter Test A
For use after Chapter 6
Write an inequality represented by the graph.
1.
Answers
2.
0
24 22
2
4
6
1.
26 25 24 23 22 21
2.
Solve the inequality. Graph your solution.
3.
4. w 1 7 ≤ 5
3. x 2 6 . 23
See left.
0
29 26 23
3
6
9
0
26 24 22
2
4
6
4.
n
6. } , 6
2
5. 24t ≥ 216
0
26 24 22
2
4
6
216
See left.
8
0
8
16
5.
See left.
7. You want to buy a pair of sneakers at a shoe store, and you can spend
at most $80. You have a coupon for $10 off any pair of shoes at the
store. Write and solve an inequality to find the original prices p of
sneakers that you can buy.
6.
See left.
Solve the inequality, if possible.
9. 3x 2 4 ≥ 8
11. 2(k 1 4) . 2k 2 3 12. 2a 2 1 , 6a 1 7
10. 4 2 5t ≥ 221
7.
13. 8p 1 7 2 6p . 2p 1 9
8.
14. Write and solve an inequality to find the possible values of x if the
maximum area of the rectangle is to be 63 square meters.
10.
11.
3 meters
(2x 1 1) meters
12.
Solve the inequality graphically.
/
14.
Y
Y
/
X
15.
See left.
16.
See left.
X
Write a compound inequality represented by the graph.
17.
17.
18.
18.
26 25 24 23 22 21 0 1 2
108
13.
16. 3x 2 5 ≤ 211
15. x 1 17 . 21
9.
Algebra 1
Chapter 6 Assessment Book
23 22 21 0 1 2 3 4 5
Copyright © Holt McDougal. All rights reserved.
8. 5y 1 12 ≤ 7
Name ———————————————————————
Chapter Test A
CHAPTER
6
Date ————————————
continued
For use after Chapter 6
Solve the compound inequality. Graph your solution.
Answers
19. x 1 2 . 5 or 3x ≤ 3
19.
20. 26 ≤ 5x 1 14 ≤ 24
See left.
23 22 21 0 1 2 3 4 5
25 24 23 22 21 0 1 2 3
20.
Graph the function. Compare the graph with the graph of
f (x) 5 ⏐x⏐ .
21. g(x) 5⏐x 1 1⏐
22. g(x) 5⏐x⏐2 3
y
y
3
3
3
1
1
1 O
See left.
1
3
3
x
1 O
1
3
3
3
21.
See left.
22.
See left.
x
Determine whether the ordered pair is a solution of the
inequality.
Copyright © Holt McDougal. All rights reserved.
23. x 1 y , 7; (2, 4)
24. y ≥ 4x 2 3; (0, 0)
23.
25. x 1 2y . 4; (2, 1)
24.
Graph the inequality.
25.
27. y ≥ 2x 1 3
26. y , 2x 2 1
y
⫺3
3
1
1
⫺3
See left.
y
3
⫺1
⫺1
26.
1
3 x
⫺3
⫺1
⫺1
27.
1
3 x
⫺3
Algebra 1
Chapter 6 Assessment Book
109
Name ———————————————————————
CHAPTER
6
Date ————————————
Chapter Test B
For use after Chapter 6
Solve the inequality. Graph your solution.
Answers
y
2. } , 23
24
1. x 1 8 . 210
1.
See left.
220 216 212 28
0
24
6
8
10 12 14 16 18
2.
3. 7 2 5d , 23
24
0
22
See left.
4. 4a 2 8 , 2a
2
4
24 23 22 21 0 1 2 3 4
3.
See left.
In Exercises 5 and 6, use the following information.
4.
To be eligible for the playoffs, a baseball team cannot lose more than 40% of
its remaining games. The team has 18 games remaining in the regular season.
5. Write and solve an inequality to find the number of games g that the
team could lose and still be eligible for the playoffs.
See left.
5.
6. If the baseball team loses 8 of its remaining games, will the team
advance to the playoffs? Explain your answer.
6.
Solve the inequality, if possible.
8. 3(2p 2 5) ≥ 8p 2 5
7.
9. 5(2s 1 7) 2 4 . 10s 2 7
8.
Copyright © Holt McDougal. All rights reserved.
7. 2(3x 2 1) . 6(x 1 1)
9.
In Exercises 10 and 11, use the following information.
The photography club at your school decides to publish a calendar to raise
money. The initial cost for equipment and software is $600. In addition to
the initial cost, each calendar costs $2.50 to produce. The club plans to sell
the calendars for $8 each.
10. Write and solve an inequality to find the number n of calendars that
10.
11.
the photography club must sell in order to raise at least $1200.
11. Will the club reach their fundraising goal if they sell 110 calendars?
Explain your answer.
12.
See left.
Solve the compound inequality. Graph your solution.
12. 5 2 x . 2 or 5 ≤ x 2 7
13. 210 ≤ 2(x 2 1) , 14
13.
See left.
0
110
5
10
Algebra 1
Chapter 6 Assessment Book
15
⫺5
0
5
10
Name ———————————————————————
Chapter Test B
CHAPTER
6
Date ————————————
continued
For use after Chapter 6
14. The water pressure p (in pounds per square inch) exerted on an
6
object in the ocean can be given by the function p 5 15 1 }
d
11
Answers
14.
where d is the depth (in feet) below the surface of the water. What
are the possible water pressures of an object when the depth ranges
from 102 feet to 468 feet?
Graph the function. Compare the graph with the graph of
f (x) 5 ⏐x⏐.
15. g(x) 5⏐x 1 1⏐2 2
16.
See left.
17.
See left.
18.
See left.
Y
/
See left.
16. g(x) 5 2 2⏐x⏐
Y
15.
X
/
X
Graph the inequality.
17. y . 23x 2 2
18. x 2 3y , 6
y
y
3
3
1
1
⫺3
⫺1
1
3 x
⫺3
⫺3
⫺1
⫺1
x
1
See left.
3
20.
⫺3
In Exercises 19 and 20, use the following information.
A concert promoter needs to take in at least $380,000 from ticket sales.
The promoter charges $30 for floor seats and $20 for bleacher seats.
19. Write and graph an inequality that
describes the goal in terms of selling
bleacher seat tickets and selling
floor seat tickets.
20. Identify and interpret one of
the solutions.
Bleacher seats
Copyright © Holt McDougal. All rights reserved.
19.
20,000
18,000
16,000
14,000
12,000
10,000
8,000
6,000
4,000
2,000
0
0
4,000 8,000 12,000
Floor seats
Algebra 1
Chapter 6 Assessment Book
111
Name ———————————————————————
CHAPTER
6
Date ————————————
Chapter Test C
For use after Chapter 6
Solve the inequality, if possible.
Answers
1. x 1 5.8 ≤ 4.6
3
1
2. x 2 } , }
8
4
1.
3. 6(x 2 2) . 3(2x 2 5)
4. 4x . 0.2(50 1 20x)
2.
(2x 1 3) feet
3.
5. Write and solve an inequality
to find the possible values of x if
the minimum area of the trapezoid
is to be at least 45 square feet.
4.
9 feet
5.
(4x 2 6) feet
Translate the verbal sentence into an inequality. Then solve
the inequality.
6.
6. The product of 23.9 and w is at most 19.5.
7. The quotient of the difference of 5 times a number n and 9 and 2 is
7.
greater than 22 and less than or equal to 3.
Solve the inequality graphically.
9
1
26
8. 2} x 2 } ≤ 2}
9. 0.8x 1 34.5 . 42.5
2
6
4
8.
See left.
9.
See left.
Y
Y
/
X
/
X
10.
See left.
Solve the inequality, if possible. Graph your solution.
3
2
11. 2} x , 4 and } x , 26
3
4
2
10. 1 ≤ 3 1 } x , 7
3
11.
See left.
24 22
0
2
4
6
8
1
12. }(x 1 1) . 3 or 0 , 22 2 x
2
24 22
0
2
4
6
8
212 210 28
26
24
22
12.
13. 3x 2 9 ≤ 9 or 4 2 x ≤ 3
0 1 2 3 4 5 6 7 8
See left.
13.
See left.
14. Your test scores are 93, 69, 89, and 97. After the next test, you want
your average to be at least 84. What are the possible scores for your
next test?
15.
Solve the equation, if possible.
⏐
⏐
5
15. 23 2 2 } x 5 18
4
112
Algebra 1
Chapter 6 Assessment Book
14.
16. 2⏐3x 1 8⏐ 2 13 5 25
16.
Copyright © Holt McDougal. All rights reserved.
Name ———————————————————————
CHAPTER
6
Chapter Test C
Date ————————————
continued
For use after Chapter 6
Write an absolute value equation represented by the graph.
Answers
17.
17.
18.
1 2 3 4 5 6 7 8 9
0
25 24 23 22 21
1
2
18.
Graph the function. Compare the graph with the graph of
f (x) 5 ⏐x⏐.
19. g(x) 5 0.25⏐x⏐ 2 2
See left.
20.
See left.
20. g(x) 5 2 2⏐x 1 1⏐ 2 0.5
Y
Y
/
/
X
X
21.
See left.
22.
Solve the inequality. Graph your solution.
⏐
19.
⏐
See left.
5
22. }⏐7 2 4x⏐ 2 9 . 6
3
1
21. 23 4 2 } x . 212
2
23.
216
0
28
8
16
22 21 0 1 2 3 4 5 6
23. For your chemistry experiment, you are trying to keep the water
Graph the inequality.
See left.
See left.
y
3
3
1
1
1
3 x
⫺3
⫺3
⫺1
⫺1
27.
1
3 x
⫺3
In Exercises 26 and 27, use the following information.
To mail a package, the sum of the length x (in inches) and twice the sum of
the width y (in inches) and the height of the box must not exceed 108 inches.
26. Write and graph an inequality that describes the possible lengths and
widths of a 24-inch high box that can be sent by priority mail.
27.
25.
25. 2x 2 3(y 1 1) ≥ y 2 (4 2 x)
y
⫺1
⫺1
See left.
26.
24. 4(x 2 2) , y 2 5
⫺3
24.
Identify and interpret one of the solutions.
Width (inches)
Copyright © Holt McDougal. All rights reserved.
temperature at 358C. For the experiment to work properly, the actual
temperature can vary by as much as 1%. Write and solve an absolute
value inequality to find the acceptable temperatures of the water.
y
30
25
20
15
10
5
0
0 10 20 30 40 50 60 x
Length (inches)
Algebra 1
Chapter 6 Assessment Book
113
Name ———————————————————————
CHAPTER
7
Date ————————————
Chapter Test A
For use after Chapter 7
Use the graph to solve the linear system.
1. x 1 2y 5 4
Answers
2. 2x 2 y 5 3
2x 1 y 5 21
1.
3x 1 y 5 2
2.
y
23
y
3
1
1
21
21
21
21
1
3 x
3.
13
x
4.
23
See left.
5.
In Exercises 3–5, use the following information.
6.
You are painting the white lines around the perimeter of a tennis court. You
measure and find that the perimeter is 228 feet and the length is 42 feet
longer than the width.
7.
3. Write a linear system. Let w be the width of the tennis court and let l
be the length of the tennis court.
9.
10.
11.
12.
0 20
60
100
Width of
tennis court
w
5. Find the length and width of the tennis court.
Solve the linear system using substitution.
6. x 5 2
3x 1 2y 5 4
9. 3x 2 y 5 2
y 5 2x 2 9
7. 3x 2 2y 5 6
y53
10. 3x 1 y 5 4
4x 2 3y 5 1
8. x 5 y 1 1
x 1 2y 5 7
11. x 1 y 5 12
3x 2 2y 5 6
12. A cosmetologist has a bottle of 7% hydrogen peroxide solution and
a bottle of 4% hydrogen peroxide solution. The cosmetologist needs
300 milliliters of a 5% hydrogen peroxide solution for a hair dye.
Write and solve a linear system to find how many milliliters of each
solution the cosmetologist needs to mix together.
132
Algebra 1
Chapter 7 Assessment Book
Copyright © Holt McDougal. All rights reserved.
Length of
tennis court
4. Graph the linear system.
120
100
80
60
40
20
0
8.
Name ———————————————————————
Chapter Test A
CHAPTER
7
Date ————————————
continued
For use after Chapter 7
Solve the linear system using elimination.
Answers
13. x 1 y 5 4
14. 9x 1 2y 5 4
15. 4x 2 5y 5 22
x2y56
9x 2 y 5 25
x 1 2y 5 21
17. 4x 1 3y 5 7
18. 2x 2 3y 5 16
16. x 2 2y 5 4
3x 1 4y 5 2
7x 1 2y 5 9
3x 1 4y 5 7
Determine whether the linear system has one solution,
no solution, or infinitely many solutions.
19. y 5 2x 2 1
20. 3x 1 y 5 12
21. 3x 2 y 5 5
y 5 2x 1 1
y 5 3x 1 12
y 5 3x 2 5
23. y > 1
15.
16.
17.
18.
20.
y≤x13
x>2
14.
19.
Graph the system of linear inequalities.
22. y < 21
13.
21.
y
y
3
22.
See left.
23.
See left.
3
1
21
21
1
13
1
5 x
23
21
21
1
35 x
24.
23
During the summer, you want to earn at least $150 per week. You earn
$10 per hour working for a farmer, and you earn $5 per hour babysitting
for your neighbor. You can work at most 25 hours per week.
24. Write and graph a system of linear
inequalities that models the situation.
Let x be the number of hours per week
working on the farm and let y be the
number of hours per week babysitting.
Babysitting hours
Copyright © Holt McDougal. All rights reserved.
In Exercises 24 and 25, use the following information.
y
30
25
See left.
25.
20
15
10
5
0
0 5 10 15 20 25 30 x
Farm hours
25. If you work 10 hours per week on the farm and 12 hours per week
babysitting, will you earn at least $150?
Algebra 1
Chapter 7 Assessment Book
133
Name ———————————————————————
Date ————————————
Chapter Test B
CHAPTER
7
For use after Chapter 7
Tell whether the ordered pair is a solution of the linear
system.
1. (4, –1)
2. (8, 5)
x 1 2y 5 2
x 2 2y 5 6
Answers
1.
3. (–3, 5)
5x 2 4y 5 20
3y 5 2x 1 1
9x 1 7y 5 8
8x 2 9y 5 269
In Exercises 4–6, use the following information.
2.
3.
4.
Tickets for a school play cost $4 for adults and $2 for students. At the end
of the play, the school sold a total of 105 tickets and collected $360.
4. Write a linear system. Let x be the number of adult tickets sold and
5.
See left.
let y be the number of student tickets sold.
6.
y
180
160
140
120
7.
8.
100
80
60
9.
10.
40
20
0
11.
0 20
60
100
Adult tickets
x
12.
6. Find the number of adult tickets sold and the number of student
tickets sold.
Solve the linear system using substitution.
7. 4x 1 3y 5 25
x5y23
10. 3x 1 y 5 24
2x 1 y 5 0
8. x 1 3y 5 228
y 5 25x
11. 3x 2 y 5 13
2x 1 5y 5 20
9. x 1 4y 5 21
2x 2 5y 5 11
12. x 2 4y 5 23
23x 1 5y 5 2
13. A hotel rents a double-occupancy room for $30 more than a single-
occupancy room. One night, the hotel took in $3115 after renting
15 double-occupancy rooms and 26 single-occupancy rooms.
Write and solve a linear system to find the cost of renting a doubleoccupancy room and the cost of renting a single-occupancy room.
134
Algebra 1
Chapter 7 Assessment Book
13.
Copyright © Holt McDougal. All rights reserved.
Student tickets
5. Graph the linear system.
Name ———————————————————————
Chapter Test B
CHAPTER
7
Date ————————————
continued
For use after Chapter 7
Solve the linear system using elimination.
14. 3x 2 y 5 9
15. 5x 1 7y 5 10
2x 1 y 5 1
3x 2 14y 5 6
Answers
16. 4x 1 3y 5 15
14.
2x 2 5y 5 1
15.
17. 2x 1 3y 5 1
18. 2x 2 3y 5 22
19. 2x 1 9y 5 16
5x 5 1 2 3y
16.
Without solving the linear system, tell whether the linear
system has one solution, no solution, or infinitely many
solutions.
17.
20. y 5 2 2 3x
19.
3x 2 5y 5 28
22y 1 3x 5 12
21. y 5 x 1 2
6x 1 2y 5 7
22. 2x 2 y 5 1
x1y56
18.
4x 2 2y 5 2
20.
23. On Monday, the office staff at your school paid $8.77 for 4 cups of
coffee and 7 bagels. On Wednesday, they paid $15.80 for 8 cups of
coffee and 14 bagels. Can you determine the cost of a bagel? Explain.
21.
Graph the system of linear inequalities.
24. y ≥ x 2 3
25. x < 3
y ≤ 2x 1 2
22.
y>1
y ≥ 2x
y
3
y
1
23.
⫺1
⫺1
1
3
x
23
⫺3
21
21
1
x
23
26. In an academic competition, scoring is based on a written
examination and an oral presentation. The written examination
score cannot exceed 65 points and the oral presentation cannot
exceed 35 points. Write and graph a system of inequalities for the
scores a school team can receive.
Oral presentation
Copyright © Holt McDougal. All rights reserved.
1
y
35
30
25
24.
See left.
25.
See left.
26.
See left.
20
15
10
5
0
0 10 20 30 40 50 60 70 x
Written examination
Algebra 1
Chapter 7 Assessment Book
135
Name ———————————————————————
CHAPTER
7
Date ————————————
Chapter Test C
For use after Chapter 7
Solve the linear system by graphing.
1. 3x 1 5y 5 218
Answers
2. 2x 2 y 5 6
4x 1 2y 5 210
4x 2 2y 5 8
1
⫺3
⫺1
⫺1
See left.
y
y
⫺5
1.
⫺1
⫺1
1 x
1
3
x
2.
See left.
⫺3
⫺3
⫺5
3.
⫺5
See left.
3. 3x 2 4y 5 24
3
2
y
6
4.
2
5.
}x 1 y 5 3
2
6
x
6.
26
7.
8.
Solve the linear system using substitution.
4. 3x 2 2y 5 6
4y 5 28
5. 4x 1 3y 5 11
3x 2 y 5 5
1
7. x 1 6y 5 217
8. x 2 } y 5 1
2
0.4x 1 0.5y 5 21.1
2
1
}x 2 }y 5 1
3
3
6. 4x 1 5y 5 18
3x 2 9y 5 212
8
1
9. 4x 1 } y 5 }
3
3
3
5
1
} x 1 } y 5 2}
2
4
2
10. A restaurant owner wants to add imitation maple syrup that costs
$4.00 per liter to 50 liters of pure maple syrup that costs $9.50 per
liter. How many liters of imitation maple syrup should be added to
make a mixture that costs $5.00 per liter?
12. 4x 1 3y 5 4
9x 2 3y 5 8
8x 1 6y 5 8
13. 3x 2 4y 5 8
5x 1 3y 5 26
2
1
14. 5y 1 2x 5 5x 1 1 15. 5x 2 2y 5 8x 2 1 16. } x 2 } y 5 1
5
3
3x 2 2y 5 3 1 3y
2x 1 7y 5 4y 1 9
3
2
}x 1 }y 5 5
5
3
17. Flying with the wind, a pilot travels 600 miles between two cities in
four hours. The return trip into the wind takes five hours. The speed
of the wind remains constant during the trip. Find the average speed
of the plane with no wind and the speed of the wind.
136
Algebra 1
Chapter 7 Assessment Book
10.
11.
12.
13.
14.
15.
Solve the linear system using elimination.
11. 3x 2 6y 5 6
9.
16.
17.
Copyright © Holt McDougal. All rights reserved.
22
22
Name ———————————————————————
Chapter Test C
CHAPTER
7
Date ————————————
continued
For use after Chapter 7
Without solving the linear system, tell whether the linear
system has one solution, no solution, or infinitely many
solutions.
Answers
18. 12x 2 16y 5 8
19.
19. 0.4x 1 0.5y 5 0.2 20. 0.2x 2 0.6y 5 0.6
3x 2 4y 5 2
0.3x 2 0.1y 5 1.1
0.4x 2 1.2y 5 2.4
Write a system of linear inequalities for the shaded region.
21.
22.
y
18.
20.
21.
y
3
3
1
23
1
⫺1
1
3
22.
3 x
21
21
5 x
23
23.
In Exercises 23– 25, use the following information.
A bakery sells cookies and cakes. The table shows the time that it takes to
bake and decorate each batch of cookies and each batch of cakes, and the
time the bakery can devote to baking and decorating cookies and cakes.
Time to decorate
(hours)
Cakes
Available Time
1.5
2
15
24.
2
3
3
13
25.
}
23. Write and graph a system
of linear inequalities for
the number x of batches
of cookies and the number
y of batches of cakes that
the bakery can make under
the given constraints.
Batches of cakes
Copyright © Holt McDougal. All rights reserved.
Time to bake
(hours)
Cookies
See left.
y
8
7
6
5
4
3
2
1
0
0 4 8 12 16 20 x
Batches
of cookies
24. Find the vertices (corner points) of the graph.
25. The bakery makes a profit of $20 for each batch of cookies and $30
for each batch of cakes. The profit P is given by the equation
P 5 20x 1 30y. Find the profit for each ordered pair in Exercise 24.
Which vertex results in the maximum profit?
Algebra 1
Chapter 7 Assessment Book
137
Name ———————————————————————
8
Chapter Test A
For use after Chapter 8
Simplify the expression. Write your answer using exponents.
1. 52 p 57
(22)10
2. }
(22)3
3.
6
1 }38 2
5.
( y 4)5
1
6. }6 p w15
w
7. At the end of 2005, the national debt for the U.S. was about
10 trillion dollars, and the population of the U.S. was about 108.
About how much was the per capita (per person) debt?
3.
4.
5.
6.
Evaluate the expression.
8. 322
1.
2.
Simplify the expression.
4. x 3 p x5
Answers
9. 224 p 2
522
10. }
523
Simplify the expression. Write your answer using only positive
exponents.
1
12. }
7t23
7.
8.
9.
(6m22n3)0
10.
14. One of the shortest electromagnetic wavelengths comes from
11.
11. p25
13.
X rays, and one of the longest electromagnetic wavelengths comes
from radio waves. The wavelength of an X ray is 10212 meter and is
1016 times shorter than the wavelength of a radio wave. What is the
wavelength of a radio wave?
16. 6421/3
275/3
17. }
274/3
Write the number in scientific notation.
18. 56,000
19. 0.00351
20. 90,000,000
22. 5.71 3 1022
15.
16.
17.
18.
Write the number in standard form.
21. 3.2 3 103
13.
14.
Evaluate the expression.
15. 251/2
12.
23. 9.3 3 109
24. The distance from the sun to Earth is about 1.5 3 108 kilometers.
19.
20.
5
If the speed of light is 3 3 10 kilometers per second, how many
seconds does it take the light from the sun to reach Earth?
Use d 5 rt.
21.
22.
23.
24.
152
Algebra 1
Chapter 8 Assessment Book
Copyright © Holt McDougal. All rights reserved.
CHAPTER
Date ————————————
Name ———————————————————————
Chapter Test A
CHAPTER
8
For use after Chapter 8
Date ————————————
continued
In Exercises 25–27, use the function y 5 3x.
Answers
25. Complete the table for the function.
25.
See left.
26.
See left.
x
22
21
0
1
2
y
27.
26. Graph the function.
y
28.
9
29.
3
1
21
30.
x
31.
27. Identify the domain and range of the function.
32.
In Exercises 28 and 29, use the following information.
You deposit $200 in a savings account that earns 5% annual interest
compounded yearly. You do not make any other deposits or withdrawals.
33.
See left.
34.
See left.
28. Write a function that models the balance in the account over time.
29. Find the balance in the account after 3 years.
Copyright © Holt McDougal. All rights reserved.
Match the function with its graph.
30. y 5 (0.4) x
A.
1
32. y 5 } (0.4) x
2
31. y 5 5(0.4) x
B.
y
C.
y
y
5
5
5
3
3
3
1
1
21
3 x
21
1
x
23
21
1 x
Tell whether the sequence is arithmetic or geometric.
Then graph the sequence.
33. 2, 4, 8, 16, ...
34. –2, 0, 2, 4, ...
Y
Y
/
X
/
X
Algebra 1
Chapter 8 Assessment Book
153
Name ———————————————————————
CHAPTER
8
Date ————————————
Chapter Test B
For use after Chapter 8
Simplify the expression. Write your answer using exponents.
1. (27)9(27)2
2.
12 p 12
3. }
123
2
(53)8
4
Answers
1.
2.
In Exercises 4 and 5, use the table.
3.
Unit
tera
giga
mega
kilo
hecto
deka
Meters
1012
109
106
103
102
101
4.
5.
4. How many hectometers are there in 1 gigameter?
6.
5. How many kilometers are there in 1 terameter?
7.
Simplify the expression.
6. x4 p x
7. (9pq)2
8.
5
1
9. } p y11
y
10.
(25m6)2 p m3
8.
8 4
1 2}1t 2
11.
a
1}
2b 2
9.
12. Write and simplify an expression for the area of the triangle.
10.
11.
x2
12.
Simplify the expression. Write your answer using only
positive exponents.
13. 2w27
1
15. }
10 26
8c d
14. (5g)23
94/3•9
18. }
91/3
17. 6424/3
16.
17.
Complete the statement using <, >, or 5.
19. 9.27 3 1024
?
0.00927
14.
15.
Evaluate the expression.
16. 165/2
13.
20. 527,000,000
?
5.27 3 108
Evaluate the expression. Write your answer in scientific
notation.
9.3 3 1012
21. (4 3 108)3
22. (4 3 1013) (5 3 1029)
23. }
3.1 3 1023
24. In a recent year, 6.5 3 108 metric tons of wheat were produced in the
world. One metric ton is equivalent to 1000 kilograms. A grain of
wheat weighs about 0.000008 kilogram. Find the number of grains of
wheat that were produced in the world.
18.
19.
20.
21.
22.
23.
24.
154
Algebra 1
Chapter 8 Assessment Book
Copyright © Holt McDougal. All rights reserved.
6x 4
Name ———————————————————————
Chapter Test B
CHAPTER
8
For use after Chapter 8
25. Write a rule for the function.
Date ————————————
continued
Answers
x
22
21
0
1
2
y
1
}
8
}
1
2
2
8
32
25.
26.
In Exercises 26–29, use the following information.
27.
A house was bought 20 years ago for $160,000. Due to inflation, its value
has increased about 5% each year.
28.
26. Write a function that models the value of the home over time.
29.
See left.
27. Identify the initial value, the growth factor, and the growth rate.
28. What is the home worth today?
y
1
1 x
29. Graph the function y 5 25 } and
3
1 2
1
21
21
1 x
compare it to the graph of y 5 1 }3 2 .
5 x
23
Then identify its domain and range.
25
Tell whether the graph represents exponential growth or
exponential decay. Then write a rule for the function.
Copyright © Holt McDougal. All rights reserved.
30.
31.
y
12
(1, 12)
10
10
(0, 8)
6
(0, 4)
1
21
30.
6
2
23
y
12
3
x
23
(1, 3.6)
2
1
21
3
x
Tell whether the sequence is arithmetic or geometric.
Then graph the sequence.
32. 192, 48, 12, 3, ...
31.
32.
33. –4, 2, 8, 14, ...
See left.
Y
Y
33.
See left.
X
X
Algebra 1
Chapter 8 Assessment Book
155
Name ———————————————————————
Date ————————————
Chapter Test C
CHAPTER
8
For use after Chapter 8
Simplify the expression. Write your answer using exponents.
7 p7
1. }
72
3
8
(26a7b4)(3a3b5)
4.
3
2.
1 }18 2
5.
[(k 1 2)2]8
p 85
3 3
2w
1}
v 2
Answers
1
6w
1.
6. 58 p 5 p 511
2.
3.
p }3
3.
In Exercises 7–9, use the following information.
Draw an equilateral triangle with side lengths that are 1 unit long. Divide it
into 3 new triangles by connecting the midpoints of the sides of the triangle,
as shown in Step 1.
4.
5.
6.
7.
Step 2
8.
7. Complete the table that shows the number of new shaded triangles
9.
Step 0
Step 1
See left.
and the side lengths of the new triangles for Steps 1–4.
10.
Step
Number of new triangles
Side length of new triangle
1
3
13.
4
14.
8. Write and simplify an expression to find by how many times the
number of new triangles increased from Step 2 to Step 7.
9. Write and simplify an expression to find the perimeter of a triangle
15.
16.
formed in Step 6.
17.
Simplify the expression.
18.
10. 024
324
11. }
327
13. 23(3f 21g 3)22
14.
1
1 2
6
12. 422 }0
11
22c4d 24 4
3c d
}
21 22
2
15.
1 }q5 2
2 22
Evaluate the expression.
16. 16923/2
18. (21255)(212521/3)(212524)
Algebra 1
Chapter 8 Assessment Book
2164\3
17. 21625/3 • }
21621/3
Copyright © Holt McDougal. All rights reserved.
12.
2
156
11.
Name ———————————————————————
CHAPTER
8
Chapter Test C
For use after Chapter 8
Date ————————————
continued
19. Order the numbers from least to greatest:
Answers
0.0000284; 0.00020079; 3.4 3 1025; 4.07 3 1026; 0.00004
19.
Evaluate the expression. Write your answer in scientific
notation.
(2,000,000,000)3(0.00009)
20. }}
600,000,000
1.2 3 1029
21. }
4 3 1027
20.
3
22. The radius of Earth is about 6.38 3 10 kilometers and the radius of
a grain of sand is about 1 3 1023 meter. Assume Earth and a grain
of sand are spheres. Find the ratio of the volume of Earth to the
volume of a grain of sand. Round your answer to the nearest
hundredth. What does the ratio tell you?
21.
22.
Graph the function. Compare the graph with the graph of
y 5 2x. Then identify its domain and range.
1
24. y 5 } p 2x
3
23. y 5 24 p 2x
y
3
23.
See left.
24.
See left.
y
1
25
23
21
21
1
1
x
25
23
1
21
21
x
23
Copyright © Holt McDougal. All rights reserved.
23
In Exercises 25–27, use the following information.
A ball is dropped from a height of 64 feet.
It rebounds three-fourths of the height from
which it falls every time it hits the ground.
25. Identify the initial height, the decay factor, 64 ft
and the decay rate.
26. Write a function that models the height of
Not drawn to scale
25.
the ball over time.
27. Find the height of the ball after it hits the ground three times.
26.
28. Tell whether the sequence
27.
1164, 1081.5, 999, 916.5, 834, ...
is arithmetic or geometric. Then
graph the sequence.
Y
28.
See left.
X
Algebra 1
Chapter 8 Assessment Book
157
Name ———————————————————————
CHAPTER
9
Date ————————————
Chapter Test A
For use after Chapter 9
Find the sum or difference.
Answers
1.
(4a 2 4a ) 1 (6a 1 5a )
3.
(3x 2 1 2x 2 2) 2 (5x 2 2 5x 1 6)
4.
(2h 2 7h 1 10) 1 (h 1 4h 1 7)
3
2
3
2
2
2.
(2y 2 4y) 2 (2y 1 2)
2
3
1.
2.
2
3.
In Exercises 5 and 6, use the following information.
4.
For 1990 through 2000, the number of fiction books F (in 10,000s) and
nonfiction books N (in 10,000s) borrowed from a library can be modeled by
F 5 0.01t2 1 0.09t 1 6
5.
6.
N 5 0.004t2 1 0.06t 1 4
7.
where t is the number of years since 1990.
5. Write an equation that gives the total number of books borrowed B
8.
from the library in a year from 1990 to 2000.
9.
6. What was the total number of books borrowed in 2000?
10.
Find the product.
9. (d 2 1 3d 1 2)(d 1 1)
11. (t 2 4)2
11.
8. (2w 2 3)(4w 2 7)
10. ( p 1 3)( p 2 3)
12.
12. (2s 2 5)(2s 1 5)
13.
14.
In humans, the gene B is for brown eyes, and the
gene b is for blue eyes. Any gene combination with
a B results in brown eyes. Suppose the parents have
the same gene combination Bb. The Punnett square
shows the possible gene combinations of the
offspring and the resulting eye color.
Father
In Exercises 13 and 14, use the following information.
Mother
B
b
15.
B
BB
Bb
16.
b
Bb
bb
13. What percent of the possible gene combinations of the offspring
result in blue eyes?
14. Show how you could use a polynomial to model the possible gene
combinations of the offspring.
Solve the equation.
15. (q 1 7)(q 2 4) 5 0
172
Algebra 1
Chapter 9 Assessment Book
16. (4z 2 1)(z 1 5) 5 0
Copyright © Holt McDougal. All rights reserved.
7. n(2n3 2 3n 1 2)
Name ———————————————————————
CHAPTER
9
Chapter Test A
Date ————————————
continued
For use after Chapter 9
Factor out the greatest common monomial factor.
Answers
17. 4c8 2 8c 5
17.
18. 6f 2g 3 1 12g
19. 2k 3 1 6k 2 2 14k
18.
Solve the equation.
20. 3m2 2 9m 5 0
21. 7u2 5 3u
19.
In Exercises 22 and 23, use the following information.
20.
A frog leaps from a lily pad in a pond into the air with an initial vertical
velocity of 20 feet per second. The height h (in feet) of the frog can be
modeled by h 5 216t 2 1 vt 1 s where t is the time (in seconds) the frog
has been in the air, v is the initial vertical velocity (in feet per second),
and s is the initial height.
21.
22.
23.
22. Write an equation that gives the height of the frog as a function of
the time (in seconds) since leaving the lily pad.
24.
23. After how many seconds does the frog land in the water?
25.
Factor the trinomial.
26.
24. x2 1 9x 1 14
25. y 2 2 y 2 12
26. 3m2 1 20m 1 12
27. Find the dimensions of the triangle that has an area of
27.
28.
30 square centimeters.
29.
(x 1 17) cm
Copyright © Holt McDougal. All rights reserved.
30.
Not drawn to scale
31.
x cm
Factor the polynomial completely.
32.
28. 3x 3 1 15x 2 1 18x
33.
29. 2s2 2 18
30. r(r 1 3) 1 7(r 1 3)
Solve the equation.
31. b4 2 3b3 2 10b2 5 0
32. j( j 1 3) 5 28
33. A small vegetable garden has an area
of 80 square feet. Its length is 2 feet
more than the width. Find the
dimensions of the garden.
x
x12
Algebra 1
Chapter 9 Assessment Book
173
Name ———————————————————————
CHAPTER
9
Date ————————————
Chapter Test B
For use after Chapter 9
Find the sum or difference.
Answers
1.
(4a3 2 2a 1 1) 2 (a3 2 2a 1 3)
1.
2.
(3x3 1 4x 1 14) 1 (24x2 1 21)
2.
3.
(3d 2 5d 3 1 2d 2) 2 (8d 3 1 6d 2 1)
3.
4. (23n 1 7n) 1 (4n3 2 2n2 1 12)
In Exercises 5 and 6, use the following information.
During the period 1985–2012, the projected enrollment B (in thousands of
students) in public schools and the projected enrollment R (in thousands of
students) in private schools can be modeled by
B 5 218.53t 2 1 975.8t 1 48,140
and
4.
5.
R 5 80.8t 1 8049
where t is the number of years since 1985.
6.
5. Write an equation that models the difference in the projected
enrollments for public schools and private schools as a function
of the number of years since 1985.
7.
8.
6. Find the difference in projected enrollments for public schools and
9.
private schools in 2005.
Find the product.
9.
(s2 1 6s 2 5)(5s 1 2)
11. (w 2 5)
2
8. ( y 1 4)(5y 2 3)
10. (4p 1 1)(4p 2 1)
10.
11.
2
12. (2b 1 3)
12.
In Exercises 13 and 14, use the following information.
13.
You are making an open box from a rectangular sheet of cardboard by
cutting squares 2 inches in length from each corner and folding up the
sides. The length of the sheet of cardboard is 8 inches more than the width.
2 in.
2 in.
13. Write a polynomial that represents the total volume of the open box.
14. Find the volume of the open box when the width of the sheet of
cardboard is 6 inches.
174
Algebra 1
Chapter 9 Assessment Book
14.
Copyright © Holt McDougal. All rights reserved.
7. 24c(29c 2 1 5c 1 8)
Name ———————————————————————
CHAPTER
9
Chapter Test B
Date ————————————
continued
For use after Chapter 9
Solve the equation.
Answers
15. (h 2 7)(2h 1 1) 5 0
15.
16. 4g 2 2 32g 5 0
16.
2
17. 3m 5 26m
17.
In Exercises 18 and 19, use the following information.
18.
The room and the hallway shown in the floor plan below have different
dimensions but the same area.
w11
Bedroom
Hall
19.
w
20.
21.
w22
3w
22.
18. Write an equation that relates the areas of the rooms.
23.
19. Find the value of w.
Factor the trinomial.
20. n2 2 14n 2 72
21. 2x 2 1 14x 2 45
22. 6k 2 2 k 2 12
24.
25.
Copyright © Holt McDougal. All rights reserved.
In Exercises 23 and 24, use the following information.
A juggler throws a ball from an initial height of 4 feet with an initial
vertical velocity of 30 feet per second. The height h (in feet) of the ball can
be modeled by h 5 216t 2 1 vt 1 s where t is the time (in seconds) the ball
has been in the air, v is the initial vertical velocity (in feet per second), and
s is the initial height.
23. Write an equation that gives the height (in feet) of the ball as a
function of the time (in seconds) since it left the juggler’s hand.
26.
27.
28.
29.
30.
24. If the juggler misses the ball, after how many seconds does it hit the
ground?
31.
Factor the polynomial completely.
25. x5 2 x 3
26. 5a(a 2 3) 2 7(a 2 3)
27. 9t 4 1 30t 3 1 25t 2
28. b 3 1 5b2 2 3b 2 15
32.
Solve the equation.
29. x 2 1 8x 1 15 5 0
30. 7y 2 2 5 5y 2
31. 72 5 32q2
32. u3 1 6u2 5 4u 1 24
Algebra 1
Chapter 9 Assessment Book
175
Name ———————————————————————
Date ————————————
Chapter Test C
CHAPTER
9
For use after Chapter 9
Find the sum or difference.
Answers
1.
(10p2 2 5p3 1 4 2 12p) 1 (8p3 2 4p2 1 5)
1.
2.
(24x 2y 2 5xy 2 y) 2 (25x 2y 1 6xy 1 3)
2.
3. (6cd 1 3c 1 9d) 1 (3cd 2 5d)
3.
In Exercises 4 and 5, use the following information.
During the period 1985–2012, the projected enrollment B (in thousands of
students) in public schools and the projected enrollment R (in thousands of
students) in private schools can be modeled by
B 5 218.53t 2 1 975.8t 1 48,140
and
4.
5.
R 5 80.8t 1 8049
where t is the number of years since 1985.
4. Write an equation that models the difference in the projected
enrollments for public schools and private schools as a function of
the number of years since 1985.
6.
7.
5. Describe the trend in the difference in projected enrollments for
public schools and private schools over time.
9.
1
8. (a 2 b)(5a 1 7b)
10. (7t 1 3u)(7t 2 3u)
2
7.
(3s 2 2 s 2 8)(4 2 s)
9. (5z 2 4)2
11.
1 3q 2 }12 21 3q 1 }12 2
10.
11.
12.
13.
In Exercises 12–14, use the following information.
You are making an open box from a rectangular sheet of cardboard by
cutting squares of equal length from each corner and folding up the sides.
The dimensions of the sheet of cardboard are 15 inches by 12 inches.
x in.
x in.
15 in.
12 in.
12. Write a polynomial that represents the total volume of the open box.
13. What is a reasonable domain for the function?
14. Find the volume of the open box when 2-inch squares are cut from
each corner.
176
Algebra 1
Chapter 9 Assessment Book
14.
Copyright © Holt McDougal. All rights reserved.
Find the product.
1
6. 6xy 2x2 2 3xy 1 } y 2
3
8.
Name ———————————————————————
CHAPTER
9
Chapter Test C
Date ————————————
continued
For use after Chapter 9
Find the zeros of the function.
15. f (x) 5 242x 2 2 14x
Answers
16. g(x) 5 210x 2 1 3x 1 27
17. The stopping distance of a car is modeled by the function
d 5 0.05r(r 1 2) where d is the stopping distance of the car
measured in feet and r is the speed of the car in miles per hour.
If skid marks left on the road are 48 feet long, how fast was the
car traveling?
Factor the trinomial.
16.
17.
18.
19.
18. x 2 2 14xy 2 51y 2
2
15.
20.
2
19. 4m 1 9mn 1 5n
21.
20. 2c3 2 7c 2d 1 3cd 2
22.
Find the dimension of the rectangle or triangle that has the
given area.
21. Area: 15 square meters
22. Area: 2.5 square centimeters
(2x 2 3) cm
23.
24.
25.
(2x 2 1) m
(2x 1 1) cm
(x 1 3) m
27.
Copyright © Holt McDougal. All rights reserved.
Factor the polynomial completely.
3
26.
28.
3
2
23. 36p 2 49p
24. 9y 1 30y 1 25y
25. uv 1 wx 2 wv 2 ux
26. 25a2 2 20ab3 1 4b6
27. 23c 2 1 75u2
28. x3 1 2x2 2 49x 2 98
29. A seagull flying over a lake drops a fish from a height of 81 feet.
29.
30.
31.
After how many seconds does the fish land in the water?
32.
Solve the equation.
30. 26w 3 5 2150w
31. x3 1 12 5 3x2 1 4x
33.
Write a polynomial equation with integral coefficients that has
the given roots.
32. 0, 22, and 1
2
33. 24 and }
3
Algebra 1
Chapter 9 Assessment Book
177
Name ———————————————————————
Date ————————————
Chapter Test A
CHAPTER
10
For use after Chapter 10
Graph the function. Compare the graph with the graph of
y 5 x 2.
1. y 5 3x
2
Answers
1.
See left.
2.
See left.
2
2. y 5 2x 1 2
y
y
5
1
3
23
3 x
1
21
21
1
23
23
3 x
1
21
21
In Exercises 3–5, use the following information.
A baseball player hits a baseball into the air with an initial vertical velocity
of 48 feet per second from a height of 3 feet.
3. Write an equation that gives the baseball’s height as a function of the
time (in seconds) after it is hit.
4. After how many seconds does the baseball reach its maximum
height?
3.
5. What is the maximum height?
4.
2
7.
See left.
Y
X
/
X
8.
Solve the equation using the graph.
8. x 2 2 2x 2 8 5 0
9. x 2 2 3x 1 5 5 0
y
9.
y
2
6
5
x
3
1
210
192
See left.
7. y 5 3x 1 21x 1 36
Y
2
6.
2
6. y 5 2x 1 9
/
5.
Algebra 1
Chapter 10 Assessment Book
21
1
3
x
Copyright © Holt McDougal. All rights reserved.
Graph the quadratic function. Label the vertex, axis of
symmetry, and x-intercepts. Identify the domain and
range of the function.
Name ———————————————————————
Chapter Test A
CHAPTER
10
Date ————————————
continued
For use after Chapter 10
Solve the equation. Round the solutions to the nearest
hundredth, if necessary.
10. a 2 5 28
11. 2w 2 2 72 5 0
Answers
10.
12. (t 1 5)2 5 4
11.
13. Describe and correct the error in solving the equation
x2 2 6x 2 3 5 0 by completing the square.
12.
2
x 2 6x 5 3
13.
x2 2 6x 1 36 5 3
(x 2 6)2 5 3
}
x 2 6 5 6Ï3
}
x 5 6 6 Ï3
Write the function in vertex form, then graph the function.
Label the vertex and axis of symmetry.
14. y 5 2x 2 1 6x 2 7
15. y 5 x 2 2 2x 1 2
Y
Y
14.
X
/
See left.
X
/
Copyright © Holt McDougal. All rights reserved.
15.
Use the quadratic formula to solve the equation. Round your
solutions to the nearest hundredth, if necessary.
16. 4p2 2 8p 2 1 5 0
17. 4d 2 1 12d 1 9 5 0
See left.
s2 2 2s 5 5
16.
19. For the period 1990–2001, the number of tickets sold (in millions)
17.
18.
for Broadway road tours can be modeled by the function
y 5 210.4x 2 1 132x 1 332 where x is the number of years since
1990. In what year was 750 million tickets sold for Broadway
road tours?
Tell whether the equation has two solutions, one solution, or
no solution.
20. 3r 2 2 r 1 2 5 0
21. 5c 2 2 2c 2 8 5 0
22. 3z 2 1 6z 5 23
Tell whether the graph represents a linear function, an
exponential function, or a quadratic function.
23.
24.
y
5
3
3
1
1
19.
20.
21.
22.
23.
y
5
18.
24.
21
1
3 x
21
1
3
x
Algebra 1
Chapter 10 Assessment Book
193
Name ———————————————————————
CHAPTER
10
Date ————————————
Chapter Test B
For use after Chapter 10
Graph the function. Compare the graph with the graph of
y 5 x 2.
1
1. y 5 } x 2 2 1
4
Answers
1.
See left.
2.
See left.
2. y 5 2x 2 1 5
y
y
3
1
23
3
3 x
1
21
21
1
23
23
3 x
1
21
21
Tell whether the function has a minimum value or a maximum
value. Then find the minimum and maximum value.
1
3. y 5 22x2 1 8x 1 3 4. y 5 } x 2 2 2x 1 5 5. y 5 6x 2 1 7
2
6. An arch of balloons decorates the entrance to a high school prom.
The balloons are tied to a frame. The shape of the frame can be
1
modeled by the graph of the equation y 5 2}4 x 2 1 3x where x and y
are measured in feet. What is the maximum height of the arch
of balloons?
3.
8. y 5 x 2 1 4x
7. y 5 21(x 1 2)(x 2 4)
4.
Y
y
10
/
X
5.
6
2
1O
x
1
6.
Solve the equation by graphing.
9. x 2 1 5x 2 14 5 0
See left.
8.
See left.
10. 2x 2 1 3x 1 4 5 0
y
22
24
7.
y
x
5
212
9.
1
1
194
Algebra 1
Chapter 10 Assessment Book
3
x
10.
Copyright © Holt McDougal. All rights reserved.
Graph the quadratic function. Label the vertex, axis of
symmetry, and x-intercepts. Identify the domain and range of
the function.
Name ———————————————————————
CHAPTER
10
Chapter Test B
Date ————————————
continued
For use after Chapter 10
Solve the equation. Round the solutions to the nearest
hundredth, if necessary.
11. 16t 2 2 9 5 0
12. 2(x 2 6)2 5 24
completing the square.
x 2 8x 5
x2 2 8x 1
(x 2
x2
?
11.
13. 4n 2 2 13 5 220
14. Complete the steps to solve the equation x 2 2 8x 2 3 5 0 by
2
Answers
12.
13.
?
14.
5 19
? )2 5 19
?
5
?
x5
?
15.
See left.
Write the function in vertex form, then graph the function.
Label the vertex and axis of symmetry.
15. y 5 23x 2 2 12x 2 8
16.
16. y 5 2x 2 2 12x 1 21
See left.
Y
y
17.
18.
1
O
19.
1
/
Copyright © Holt McDougal. All rights reserved.
x
X
Use the quadratic formula to solve the equation. Round the
solutions to the nearest hundredth, if necessary.
17. p2 1 8p 2 15 5 0
18.
2y 2 2 7y 5 10
20.
21.
22.
19. 9z 2 1 12z 1 4 5 0
23.
20. During the period 1998–2002, the number y (in millions) of juvenile
books shipped to bookstores can be modeled by the equation
y 5 215x 2 1 64x 1 360 where x is the number of years since
1998. In what years were there 400 million juvenile books shipped
to bookstores?
24.
25.
26.
Find the number of x-intercepts that the graph of the
function has.
21. f(x) 5 3x2 2 3x 1 4 22. f(x) 5 4x2 2 2x 2 1 23. f(x) 5 4x2 1 12x 1 9
Tell whether the ordered pairs represent a linear function, an
exponential function, or a quadratic function.
24. (–2, 213), (21, 28), (0, 23), (1, 2), (2, 7)
25. (22, 0), (21, 23), (0, 24), (1, 23), (2, 0)
26.
1 22, }19 2, 1 21, }13 2, (0, 1), (1, 3), (2, 9)
Algebra 1
Chapter 10 Assessment Book
195
Name ———————————————————————
Date ————————————
Chapter Test C
CHAPTER
10
For use after Chapter 10
Tell how you can obtain the graph of g from the graph of f
using transformations.
Answers
1.
1
2. f (x) 5 } x 2 1 3
2
1. f(x) 5 2x 2 2 2
g(x) 5 x 2 1 5
g(x) 5 4x 2 1 1
In Exercises 3 and 4, use the following information.
2.
The distance a lookout in a submarine can see is related to how high the
periscope is above the surface of the water. The height (in feet) of the
periscope can be modeled by the function h 5 0.51d 2 where d is the
distance (in miles) the lookout can see.
3. Graph the function.
Height (feet)
4. Use the graph to estimate how many feet
above the surface of the water the periscope
must be in order to see a ship 4 miles away.
h
12
10
8
6
4
2
0
3.
4.
0 1 2 3 4 5 d
Distance (miles)
Graph the function. Label the vertex and the axis of symmetry.
3
6. y 5 2 x 2 } (x 2 3)
4
1
y
y
1
21
21
2
3
5 x
23
1
21
21
1
3
5 x
In Exercises 7–10, use the following information.
In the past, a concert promoter sold 8000 tickets when the tickets were
priced at $10 each. He wants to increase the price of a ticket, but he
estimates he will lose 500 ticket sales for each $1 increase in the price
of a ticket.
7. Write a function for the revenue R generated by selling tickets in
terms of the number n of $1 increases.
8. Write the function in Exercise 7 in standard form.
9. Find the maximum revenue.
10. At what price should the tickets be sold to generate the most
revenue?
196
Algebra 1
Chapter 10 Assessment Book
See left.
6.
See left.
7.
8.
9.
10.
3
1
5.
Copyright © Holt McDougal. All rights reserved.
1
5. y 5 2} x 2 1 x 2 1
4
See left.
Name ———————————————————————
CHAPTER
10
Chapter Test C
Date ————————————
continued
For use after Chapter 10
11. Approximate the zeros of the function
Answers
y
2
2
f(x) 5 2x 2 4x 2 9 to the nearest tenth.
22
11.
x
1
12.
13.
210
14.
Solve the equation by completing the square. Round the
solutions to the nearest hundredth.
12. v 2 5 14 1 16v
See left.
15.
13. 2w 2 2 4w 2 1 5 0
23
4
14. Write the function y 5 2x2 1 } x 1 }
3
9
16.
Y
in vertex form, then graph the function.
Label the vertex and the axis of symmetry.
17.
/
18.
X
19.
Use the quadratic formula to solve the equation. Round the
solutions to the nearest hundredth.
15. 6q 2 1 4q 5 5q 2 2
16. 4d 1 2 5 (d 2 1)(d 1 3)
20.
Copyright © Holt McDougal. All rights reserved.
In Exercises 17 and 18, use the following information.
The fuel efficiency E (in miles per gallon) for a mid-sized car can be
modeled by the equation E 5 20.018v 2 1 1.476v 1 3.4 where v is the
speed (in miles per hour) of the car.
21.
17. At what speed should the car travel on the highway to get 30 miles
per gallon?
18. Does the mid-sized car ever get 35 miles per gallon? If so, at what
speed(s)?
19. Give a value of c for which the equation 5x 2 1 10x 1 c 5 0 has
(a) two solutions, (b) one solution, and (c) no solutions.
Tell whether the table of values represents a linear function,
an exponential function, or a quadratic function. Then write
an equation for the function.
20.
x
22
–1
0
1
2
y
2
2.5
3
3.5
4
21.
x
22
–1
0
1
2
y
3
23
25
–3
3
Algebra 1
Chapter 10 Assessment Book
197
Name ———————————————————————
Date ————————————
Chapter Test A
CHAPTER
11
For use after Chapter 11
Graph the function and identify its domain and range. Then
}
compare the graph with the graph of y 5 Ï x .
}
Answers
}
1. y 5 3Ï x
1.
See left.
2.
See left.
2. y 5 Ï x 21
y
y
7
7
5
5
3
3
1
1
1
7 x
5
3
1
7 x
5
3
Simplify the expression.
}
9
}
3. Ï 32
}
6.
4
5. }
}
Ï7
Ï}16
4.
}
Ï81x 6y 3
}
7. 3Ï 5 2 7Ï 5
}
3.
}
8. Ï 2 (10 2 Ï 2 )
4.
In Exercises 9 and 10, use the figure.
9. Find the exact perimeter of the rectangle.
5.
4 3 cm
3 cm
10. Find the exact area of the rectangle.
Copyright © Holt McDougal. All rights reserved.
Simplify the expression. Assume variables are nonnegative.
11.
3}
3}
Ï16 • Ï4x
3
3}
3}
Ï8 1 Ï2y
12.
13.
3
}
6.
7.
8.
7
Ï}64
9.
Solve the equation. Check for extraneous solutions.
}
10.
14. Ï 3x 1 2 5 5
}
}
15. Ï 5x 1 2 5 Ï 3x 1 8
11.
}
16. Ï x 1 12 5 x
12.
17. Near the Earth’s surface, the speed of sound s (in meters per second)
13.
through air is given by s 5 20Ï T 1 273 where T is the air
temperature (in degrees Celsius). At what air temperature is the
speed of sound about 340 meters per second?
14.
}
15.
Find the unknown length.
18.
16.
19.
x
8
14
17.
9
18.
15
x
19.
Algebra 1
Chapter 11 Assessment Book
211
Name ———————————————————————
Chapter Test A
CHAPTER
11
For use after Chapter 11
Date ————————————
continued
Tell whether the triangle with the given side lengths is a
right triangle.
20. 12, 16, 20
21. 8, 11, 14
Answers
20.
21.
22. A support wire is attached to a telephone pole at a point 30 meters
above the ground. The wire is anchored to the ground at a point
10 meters from the base of the pole. Find the length of the wire to
the nearest tenth of a meter.
22.
23.
24.
25.
26.
30 m
27.
10 m
28.
Find the distance between the two points.
23. (9, 2), (4, 7)
29.
24. (25, 0), (2, 6)
Find the midpoint of the line segment with the given
endpoints.
25. (8, 3), (10, 5)
26. (210, 8), (2, 26)
y
2
22
2
x
r
26
27. Find the coordinates of the ordered pair that represents the center of
the circle.
28. Find the length of the radius of the circle.
29. Find the area of the circle. Use 3.14 for π. Round your answer to the
nearest tenth.
212
Algebra 1
Chapter 11 Assessment Book
Copyright © Holt McDougal. All rights reserved.
In Exercises 27–29, use the following graph of a circle.
Name ———————————————————————
Date ————————————
Chapter Test B
CHAPTER
11
For use after Chapter 11
Graph the function and identify the domain and range. Then
}
compare the graph with the graph of y 5 Ï x .
1 }
1. y 5 }Ï x 2 3
2
Answers
1.
See left.
2.
See left.
}
2. y 5 2Ï x 1 2
y
y
1
1
21
21
3
5
1
x
1
21
3
5 x
23
23
25
Simplify the expression.
}
3.
Ï72a
}
5
}
}
}
Ï
}
4. 5Ï 2 2 3Ï 2 1 12Ï 2
5. 3Ï 12 2 5Ï 27
7.
}
4p 2
}
6
6
6. }
}
Ï3b
8.
q
}
(2Ï7 1 4)2
In Exercises 9 and 10, use the following information.
The time t (in seconds) it takes an object dropped from
a height h (in feet)
}
Ï
h
to reach the ground is given by the equation t 5 }
.
16
3.
Copyright © Holt McDougal. All rights reserved.
9. Write the equation in simplified form.
10. Find the exact time it takes a stone to reach the ground if it is
4.
dropped from a bridge that is 200 feet high.
5.
Simplify the expression. Assume variables are nonnegative.
11.
3}
3}
Ï32 1 Ï264
3}
Ï4a
12. }
3}
Ï3
3}
6.
3}
13. 2Ï 135x 2 8Ï 5x
7.
8.
9.
10.
11.
12.
13.
Algebra 1
Chapter 11 Assessment Book
213
Name ———————————————————————
CHAPTER
11
Chapter Test B
For use after Chapter 11
Date ————————————
continued
Solve the equation. Check for extraneous solutions.
Answers
}
14. Ï 4x 1 5 5 2
}
14.
}
15. Ï 3x 1 4 5 Ï 12x 2 14
15.
}
16. Ï 6x 1 7 1 3 5 x 1 5
16.
17. A person’s maximum running speed s (in meters per second) can
17.
}
Ï
9.8l
be approximated by the function s 5 π }
where l is the person’s
6
leg length (in meters). To the nearest tenth of a meter, what is the leg
length of a person whose maximum running speed is about
3.4 meters per second?
18.
19.
20.
Find the unknown lengths.
18. A right triangle has one leg that is twice as long as the other leg. The
21.
}
hypotenuse is 2Ï5 inches.
22.
19. A right triangle has a hypotenuse that is 3 feet longer than one leg.
The other leg is 4 feet.
24.
Find the midpoint of the line segment with the given
endpoints.
25.
21. (21, 1), (24, 23) 22. (9, 22), (3, 22)
In Exercises 23 and 24, use the following graph.
23. Find the length of each line segment.
27.
(24, 3)
3
y
24. Use the converse of the Pythagorean
theorem to determine whether
the points are the vertices of a right
triangle.
(22, 1)
25
23
21
21
(28, 21)
x
The distance d between two points is given. Find the value
of b.
25. (b, 22), (6, 1); d 5 5
}
26. (5, 1), (0, b); d 5 Ï 29
27. A fire is sighted in the forest from a
helicopter. The forest ranger can send
a crew from one of the two towers, as
shown on the map. The distance
between consecutive grid lines
represents 0.5 mile. Which tower
is closer to the fire?
3.5
2.5
y
Fire
1.5
0.5
214
Algebra 1
Chapter 11 Assessment Book
Tower B
Tower A
0.5
26.
1.5
2.5
3.5 x
Copyright © Holt McDougal. All rights reserved.
20. (5, 4), (1, 1)
23.
Name ———————————————————————
Date ————————————
Chapter Test C
CHAPTER
11
For use after Chapter 11
Graph the function and identify the domain and range. Then
}
compare the graph with the graph y 5 Ï x .
Answers
1.
See left.
2.
See left.
4 }
2. y 5 2} Ï x 2 4 1 2
5
}
1. y 5 3Ï x 1 1 2 4
y
y
6
1
21
21
1
3
5
2
x
22
22
2
6
10
x
23
26
In Exercises 3 and 4, use the following information.
The speed at which water travels through a pipe can be measured by the
height to which the water shoots out an elbow in the pipe. If the elbow has
a height of 10 centimeters, then the velocity (in centimeters
per second) of
}
the water can be modeled by the function v 5 44.3Ï h 1 10 where h is the
height (in centimeters) of the water above the elbow.
3.
4.
3. Identify the domain and range of the function.
4. About how high should the water be above the elbow if the speed of
5.
the water is 250 centimeters per second?
6.
Simplify the expression.
}
}
6. 2aÏ 18a 3b10
Copyright © Holt McDougal. All rights reserved.
5. 3Ï 90
7.
}
}
}
7. 4Ï 8 2 10Ï 2
}
9.
8.
}
Ï
15x 6y 7
}
7 9
3
10. }
}
5 1 Ï5
(3Ïx 2 2y)(5Ïx 2 4y)
8.
3x y
9.
10.
In Exercises 11 and 12, use the following information.
The time t (in seconds) for a pendulum to complete one swing can be
11.
}
L
found using the equation t 5 2π }
where L is the length (in feet) of the
32
pendulum.
Ï
12.
13.
11. Write the equation in simplified form.
12. Find the exact time it takes for a 4-foot pendulum of a grandfather
clock to complete one swing.
14.
15.
Simplify the expression. Assume variables are nonnegative.
3}
3}
}
3
13. Ï 28t 2 3 1 Ï –27t 1 1 2
15.
3}
3}
3}
3}
1 Ï36 2 Ï5 2 1 Ï6 1 Ï25 2
3}1
3Ï
a 2Ï a2 2
14. }
3}
Ï5
Algebra 1
Chapter 11 Assessment Book
215
Name ———————————————————————
CHAPTER
11
Chapter Test C
For use after Chapter 11
Date ————————————
continued
Solve the equation. Check for extraneous solutions.
}
Answers
}
16. Ï 10x 2 8 2 3Ï x 5 0
16.
}
17. x 2 3 2 Ï 4x 5 0
17.
}
18. Ï 5x 1 1 2 1 5 x
18.
In Exercises 19–21, use the following information.
}
A museum curator can use the equation C 5 3x 1 Ï 50x 1 9000 to find the
cost C (in dollars) for taking x people on a tour of the museum.
19. If the cost is $160, how many people went on a tour?
19.
20.
21.
20. If the curator charges each person $10 to go on the tour, write an
22.
expression for the revenue generated.
21. How many people must go on the tour for the curator to break even?
23.
Find the unknown lengths.
22.
5 3
23.
x 21
x 14
3x 1 4
x
24.
3x 2 2
25.
24. A sail has the shape of an isosceles triangle. The two equal side
lengths are 36 inches and the third side is 54 inches. Find the area of
the sail. Round your answer to the nearest tenth.
25. endpoint: (2, 3); midpoint: (24, 26)
27.
26. endpoint: (21, 5); midpoint: (0, 4)
28.
In Exercises 27–29, use the following graph.
29.
27. Find the slope of the line passing
through the points.
28. Find the slope of line perpendicular to
the line segment.
29. Write an equation of the perpendicular
bisector of the line segment.
216
Algebra 1
Chapter 11 Assessment Book
5
y
(4, 4)
3
1
21
21
1
3
5
(6, 0)
x
Copyright © Holt McDougal. All rights reserved.
26.
The midpoint and an endpoint of a line segment are given.
Find the other endpoint. Then find the length of the
line segment.
Name ———————————————————————
CHAPTER
12
Date ————————————
Chapter Test A
For use after Chapter 12
Tell whether the equation represents direct variation, inverse
variation, or neither.
1. y 5 2x 1 9
Answers
1.
3. xy 5 4
2. y 5 25x
2.
In Exercises 4 and 5, use the following information.
The time t (in days) to make campaign signs for student council officers
varies inversely with the number n of volunteers helping. It takes 5 days for
12 volunteers to make all the campaign signs.
3.
4.
4. Write the inverse variation equation that relates t and n.
5.
5. If only 4 volunteers are available to help, find the number of days it
6.
See left.
7.
See left.
will take them to complete the campaign signs.
Graph the function and identify its domain and range. Then
1
compare the graph with the graph of y 5 }
.
x
1
6. y 5 } 1 2
x
y
3
1
23
21
21
y
1
1
3 x
23
23
21
21
1
3 x
23
Identify the vertical asymptote and horizontal asymptote of
the function.
210
8. y 5 }
x
6
10. y 5 } 2 2
x
4
9. y 5 } 1 7
x12
Divide.
11.
(12x 3 2 20x 2 1 32x) 4 4x
12.
(x 2 1 11x 1 16) 4 (x 1 8)
(in feet per second) of a skydiver
as he falls towards Earth, which can
1000t
be modeled by v 5 }
where t is
5t 1 8
the time elapsed (in seconds).
Describe how the velocity changes
over time.
230
Algebra 1
Chapter 12 Assessment Book
Velocity (feet/second)
13. The graph shows the velocity v
Velocity of a Skydiver
v
200
9.
10.
11.
12.
150
100
50
0
8.
13.
0 10 20 30 40 50 60 70 t
Time (seconds)
Copyright © Holt McDougal. All rights reserved.
3
1
7. y 5 }
x21
Name ———————————————————————
CHAPTER
12
Chapter Test A
For use after Chapter 12
Date ————————————
continued
Divide using synthetic division.
Answers
14. (x2 1 11x 1 28) 4 (x 1 4)
14.
15. (x2 1 7x 2 1) 4 (x 2 2)
15.
16. (x3 1 2x2 2 8x 1 5) 4 (x 2 1)
16.
Simplify the expression, if possible. Find the excluded values.
16x 5
17. }2
24x
x25
19. }
x 2 2 2x 2 15
x 2 14
18. }
x17
20. Write and simplify a rational expression
18.
x 1 12
for the ratio of the perimeter to the area
of the rectangle.
19.
2x
Find the product or quotient.
20.
21.
8x 2
3
21. } p }3
9
4x
6x
4x 2
22. } 4 }
5
15
6x 2 1 7x
6x 3 1 7x 2
23. } 4 }
36x 2 9
12x 2 3
x 2 2 8x 1 7 x 2 1 3x 2 10
24. }
p}
x 2 1 3x 2 4 x 2 2 9x 1 14
3
5
26. } 1 }
4x
3x
22.
23.
24.
Find the sum or difference.
6x
11x
25. } 2 }
4x 1 1
4x 1 1
17.
2
3x
27. } 1 }
x16
x24
25.
26.
Copyright © Holt McDougal. All rights reserved.
In Exercises 28 and 29, use the following information.
Dan drives 300 miles to attend college. On the drive back home, his average
speed decreases by 10 miles per hour.
28. Write an equation that gives the total driving time t (in hours) as
a function of average speed r (in miles per hour) when driving
to college.
27.
28.
29.
29. Find the total driving time if he drives to college at an average speed
of 60 miles per hour.
Algebra 1
Chapter 12 Assessment Book
231
Name ———————————————————————
CHAPTER
12
Date ————————————
Chapter Test B
For use after Chapter 12
Tell whether the table represents inverse variation. If so, write
the inverse variation equation.
1.
Answers
1.
2.
x
210
5
10
15
x
28
21
12
32
64
y
240 220 20
40
60
y
26 248
4
1.5
0.5
25
2.
3.
4.
In Exercises 3 and 4, use the following information.
In chemistry, Boyle’s law states that at a constant temperature, the volume V
of a gas varies inversely with the pressure P. For a certain gas, the pressure
is 5 when the volume is 20.
5.
See left.
6.
See left.
3. Write the inverse variation equation that relates V and P.
4. Find the volume of the gas when the pressure is 10.
Graph the function and identify its domain and range.
1
Then compare the graph with the graph of y 5 }
.
x
2
5. y 5 }
x13
21
6. y 5 } 1 2
x
3
y
y
3
1
x
1
23
23
21
21
1
3 x
Write a function whose graph is a hyperbola that has the given
asymptotes and passes through the point.
7. x 5 5, y 5 6; (4, 2)
8. x 5 21, y 5 23; (1, 22)
8.
Divide.
9.
(x 2 1 3x 2 6) 4 (x 1 1)
7.
10.
(6x 2 2 3x 1 5) 4 (2x 2 3)
9.
Divide using synthetic division.
10.
11. (x3 2 7x2 1 13x 2 15) 4 (x 2 5) 12. (x3 1 5x2 2 1) 4 (x 1 2)
11.
12.
232
Algebra 1
Chapter 12 Assessment Book
Copyright © Holt McDougal. All rights reserved.
21
21
Name ———————————————————————
Chapter Test B
CHAPTER
12
Date ————————————
continued
For use after Chapter 12
Simplify the expression, if possible. Find the excluded values.
6
2
2x 2 18
14. }
92x
235x
13. }
25x 2
2x 2 x 2 15
15. }
x 2 1 x 2 12
Answers
13.
14.
16. Write and simplify a rational expression
x12
for the ratio of the surface area to the
volume of the rectangular solid.
3x
x
17. The percent p of salt in a
saltwater solution can be modeled
100x 1 100
Percent of salt
by p 5 }
where x is the
x 1 10
number of grams of salt that are
added to the solution. Write the
a
model in the form y 5 }
1 k.
x2h
Then graph the equation.
15.
16.
17.
y
90
80
70
60
50
40
30
20
10
See left.
18.
19.
20.
21.
0
0 10 20 30 40 50 60 70 80 90 x
Salt (grams)
22.
Copyright © Holt McDougal. All rights reserved.
Find the product or quotient.
18x 4 50x 5
18. }2 p }6
25x
27x
30
20
19. }3 4 }5
x
x
23.
x2 2 9
1
20. } p }
x 1 3 6 2 2x
2x 1 10
x 2 2 25
21. }
4}
x2 2 1
x 2 2 4x 2 5
24.
In Exercises 22 and 23, use the following information.
25.
26.
For the period of 1990-2002, the number Y of rushing yards gained by
860 1 1800x
Emmitt Smith can be modeled by Y 5 }
where x is the number
1 1 0.024x
of years since 1990.
22. Rewrite the model so that it has only whole number coefficients.
Then simplify the model.
23. Approximate the number of rushing yards Smith gained in 1999.
Find the sum or difference.
x18
x22
24. } 1 }
x13
x13
2
1
25. }2 2 }
9x
3x
2x 1 3
x
26. } 1 }
x21
x2 2 1
Algebra 1
Chapter 12 Assessment Book
233
Name ———————————————————————
CHAPTER
12
Date ————————————
Chapter Test C
For use after Chapter 12
Tell whether the situation represents direct variation, inverse
variation, or neither.
Answers
1.
1. Your grade on the next algebra exam and the number of hours you
spent studying
2.
2. The outside temperature in degrees Celsius and the same outside
temperature in degrees Fahrenheit
3. The time spent popping a bag of popcorn in the microwave and the
number of unpopped kernels
3.
4.
5.
In Exercises 4 and 5, use the following information.
The length of time T (in seconds) for a cassette tape to play varies inversely
with the operating speed s (in inches per second) of the cassette player. It
takes 50 minutes for you to listen to a cassette tape on a system that plays
6.
7.
3
at 3}4 inches per second.
4. Write an inverse variation equation that relates T and s.
5. Your friend borrows the cassette tape and plays it on her system that
1
operates at 4 }2 inches per second. How many seconds faster does the
8.
9.
tape play on your friend’s system?
10.
A committee of 5 people is responsible for mailing 1200 flyers for a charity
golf tournament. The committee hopes to recruit extra volunteers to help.
6. Write an equation that gives the average number f of flyers mailed
per person as a function of the number n of extra volunteers recruited
for the task.
7. Identify the domain and range of the equation. Then compare the
1
graph of the equation with the graph of y 5 }x .
Write a function that has the given asymptotes and passes
through the given point.
8. x 5 24, y 5 2; (23, 21)
1
9. x 5 }, y 5 24; (1, 1)
2
Divide.
10.
(4x 3 2 6x 2 1 5) 4 (x 2 2 4)
11.
(25x 1 6x 2 1 24) 4 (3x 2 1)
Divide using synthetic division.
12. (3x3 1 4x2 1 3x 1 14) 4 (x 1 2)
234
Algebra 1
Chapter 12 Assessment Book
13. (x3 1 64) 4 (x 1 4)
11.
12.
13.
Copyright © Holt McDougal. All rights reserved.
In Exercises 6 and 7, use the following information.
Name ———————————————————————
CHAPTER
12
Chapter Test C
Date ————————————
continued
For use after Chapter 12
5x 1 6
14. Graph the function y 5 } .
x12
Answers
y
10
14.
6
15.
See left.
2
26
22
2
x
16.
Simplify the expression, if possible. Find the excluded values.
2x 1 33
15. }
x 1 11
9 2 x2
16. }
2
x 1 x 2 12
2x3 1 2x 2 2 4x
17. }}
x 3 1 2x 2 2 3x
17.
18. Write and simplify a rational expression
for the ratio of the perimeter to the area
of the triangle.
2x 1 3
3x 1 2
3x
18.
4x 1 4
19.
Find the product or quotient.
18x 2 36
6x 2 12
19. } 4 }
10x 1 40
8x 1 32
20.
x 2 2 3x 2 4 x 2 1 5x 1 6
20. }
p}
x 2 1 6x 1 5 8 1 2x 2 x 2
22.
Simplify the complex fraction.
x2 2 9x 1 14
x23
}
x2 26x 1 8
}
2x 2 6
Copyright © Holt McDougal. All rights reserved.
2x2 1 5x 2 3
3x 2 5x 2 28
}
x3 2 9x
}
9x 1 21
}}
2
}
21.
22.
23.
24.
25.
Find the sum or difference.
x14
3x 2
23. }
2}
2
x2 2 1
x 21
21.
32x
x12
24. }
1}
x 2 1 2x 2 3
x2 1 x 2 2
26.
27.
Solve the equation.
1
5x
25. } 5 }
x
14x 1 13
1
2
1
26. } 1 } 5 }
2
x21
x2 2 1
28.
In Exercises 27 and 28, use the following information.
A cyclist rode the first 20 miles of a trip at a constant average speed.
Due to fatigue, the cyclist’s speed decreased by 2 miles per hour for
the next 16 miles.
27. Write an equation that gives the total time t (in hours) as a function
of the cyclist’s average speed r (in miles per hour).
28. If the total trip takes 4 hours, find the cyclist’s average speed for the
last 16 miles of the trip.
Algebra 1
Chapter 12 Assessment Book
235
Answers
Pre-Test
52a. 10.5;
Number of States Visited
Multiple Choice
Stem
Short Response
1
38a. u 5 }a
8
37. 16.5h 1 40
0
2 2 3 3 4 4 6 7 8 9
1
2 5 8
2
0 0 1 6
3
0 2 5
ANSWERS
1. B 2. G 3. B 4. H 5. C 6. J 7. D
8. F 9. B 10. H 11. C 12. J 13. C
14. F 15. D 16. F 17. B 18. G 19. A
20. F 21. C 22. F 23. C 24. G 25. C
26. G 27. A 28. H 29. B 30. J 31. C
32. F 33. A 34. H 35. C 36. G
Leaves
Key: 1 | 5 = 15 states visited
52b. 50%;
Number of States Visited
38b. u
9
8
7
6
5
4
3
2
1
0
8
2 4
12
16
10.5
20
24
28
32
20.5
36
35
Chapter 1
1
2
3
4
5
6
7
8
9 a
300
100
1
38c. 7} 39a. }
5t
m 1}
4
m 1 2.5
39b. 6 minutes 36 seconds or 396 sec
40. 6186 ft 41. 240 min 42. 54%
43. 445 min 44a. l 5 0.25t 1 5
220 min
44b. u
Copyright © Holt McDougal. All rights reserved.
4
9
8
7
6
5
4
3
2
1
Quiz 1
1
1
1. 13 2. 6 3. 4 4. 16 5. 6 } 6. 4 }
2
2
1
7. sometimes 8. always 9. 10 1 } r
2
10. 2d 11. 19 2 t 12. p 1 b2
Quiz 2
1. 2d 1 3 5 12 2. 4j 2 6 5 18 3. 8q ≥ 32
4. 10 2 w ≤ 8 5. never 6. sometimes 7. no
8. yes 9. yes 10. no 11. $114 12. 60 mi/h
Quiz 3
1
2
3
4
5
6
7
8
9 a
1
1
45a. c ≥ } m; c ≤ 9 2 } m
2
2
c
9
8
7
6
5
4
3
2
1
1. no 2. yes
y
3.
4.
5
4
3
2
1
⫺2
O
1 2 3 4 5 6 x
⫺2
⫺3
y
7
6
5
4
3
2
1
O
1 2 3 4 5 6 7 8 x
5. y 5 x 1 2 6. domain: 1, 2, 3, 4, 5
1
2
3
4
5
6
7
8
9 m
45b. Yes 46. x 5 24, y 5 3 47a. $113.17
47b. $101.92 48. No; (22)2 1 3(22) 5 4 1
(26) 5 22, not 210 49. 0.94 mile 50. b 5 3
51a. mean 5 2.6, median 5 2, mode 5 0 and 6
51b. The median; 6 of Benita’s 10 shots are
within 2 inches of the bull’s-eye.
7. range: 3, 4, 5, 6, 7
8. no
9. yes
Chapter Test A
1. 4 2. 27 3. 8 4. 6 5. 10 p 10 p 10 p 10
6. 2.6 p 2.6 p 2.6 7. n p n p n p n p n p n
8. 56 in. 9. 1 10. 4 11. 25 12. x 1 9
Algebra 1
Assessment Book
A1
Chapter 1, continued
13. 4d 14. 2b 1 3 5 13 15. 5k < 60 16. yes
24. function 25. not a function
17. no 18. no 19. yes 20. 22.5 mi 21. always
Chapter Test C
8
1. } 2. 12 3. 5 mi 4. 5 5. 23 6. 26
27
n
1
7. } 8. 50 cm2 9. 5(n 1 7) < }
3
2
Input, x
0
1
2
3
Output, y
1
3
5
7
10. 3(4 1 y 2) 5 14 2 y 11. sometimes
Range: 1, 3, 5, 7
26.
12. sometimes 13. no 14. yes 15. no 16. 2%
Input, x
0
2
4
6
Output, y
20
14
8
2
17. y 5 10 2 0.75x;
Range: 20, 14, 8, 2
Height (in feet)
27.
H
28
24
20
16
12
8
4
0
H
10
9
8
7
6
5
4
3
2
1
0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 t
Number of books
0 1 2 3 4 5 6 t
Time (in seconds)
18.
28. function 29. not a function
Chapter Test B
3
1
1. 138 2. } 3. 625 4. 1 5. } 6. 958F
10
32
7. 5 8. 33 9. 11 10. 25 11. 108 in.3
t2
k
12. } 13. 6(2 1 x) ≥ 45 14. 4 1 } 5 12
14
9
1
15. yes 16. yes 17. 18 } ft 18. always
2
x
19. always 20. y 5 2x 21. y 5 }
3
22. Range: 3, 3.5, 4, 4.5, 5
Input, x
12
15
21
30
Output, y
3
4
6
9
Range: 3, 4, 6, 9
y
9
8
7
6
5
4
3
2
1
O
3
6
9 12 15 18 21 24 27 30 x
19. not a function 20. function
y
6
5
4
3
2
1
⫺4 ⫺3 ⫺2
O
Standardized Test A
1. B 2. D 3. A 4. A 5. C 6. B 7. C 8. D
9. C 10. B 11. A 12. D 13. B 14. C
1 2
3
4 x
⫺2
23. Range: 4, 6, 8, 10, 12
y
16
14
12
10
8
6
4
2
O
A2
2
4
6
8 10 12 14 16 18 x
Algebra 1
Assessment Book
15. A 16. A 17. D 18. 11
19 a. 2a 1 3g ≤ 25 b. 5 pounds of grapes c. no;
6 pounds of grapes and 3 pounds of apples cost
$24, leaving me with only $1.
x
20 a. y 5 }; domain: 2, 4, 6, 8, 10; range: 1, 2, 3,
2
4, 5
Copyright © Holt McDougal. All rights reserved.
25.
Amount left (in dollars)
ANSWERS
22. sometimes 23. function 24. not a function
Chapter 2, continued
Quiz 2
1. Associative property of multiplication
2. Multiplicative property of 21
3. Commutative property of multiplication
4. Multiplicative property of zero 5. 224
6. 20 7. 26 8. 30x 9. 221x 10. 28.28x
1
addition 13. 15 14. 26 15. 29.7 16. 2}5
17. your friend 18. 22 19. 6.8 20. 1.8
5
21. 72 22. 215 23. 2} 24. 20.9 25. 18
12
11. 23x 2 1 12. 29y 1 63 13. 12x 1 9
26. 3 27. $4.55 28. 9x 2 3 29. 22x 2 1 12x
Quiz 3
3
3
30. }x 2 } 31. 6(4 2 0.05) 5 $23.70
5
2
3
1
1. 23 2. } 3. 210 4. 6 5. 2 } 6. 5 2 2x
8
8
32. P 5 20 1 4w; A 5 24 1 12w 33. 6
7. 4x 2 2 8. 7 9. 2 and 22 10. 24 11. .
12. , 13. 4 14. 28
34. 212 35. 4 36. 120 ft 37. 23 38. 13
Chapter Test A
Chapter Test C
1. real number, rational number 2. real number,
rational number, integer 3. real number, rational
number 4. real number, rational number, integer,
whole number
5.
24
23
22
21
0
1
2
3
;
1
23, 22, }2 , 0
6. A < B 5 {0, 1, 2, 3, 5, 8}; A ù B 5 {8}
7. Associative property of addition 8. Inverse
property of addition 9. Distributive property
10. Commutative property of multiplication
11. 25 12. 6 13. 27 14. 20,320 ft 15. 20
16. 212 17. 27 18. false; 23 is not a whole
number. 19. true 20. 2478F 21. 320 m 22. 4
23. 10 24. 24 25. 227 26. 0 27. 29
28. 6 29. 24 30. 230 31. 23 32. 210
33. 28 34. 3 35. 23a 1 7 36. 9x 2 30
37. 7x 2 1 38. P 5 4x 1 38; A 5 10x 1 70
39. 65 40. 11 41. 211
Chapter Test B
1. real number, rational number 2. real number,
irrational number 3. real number, rational
number, integer, whole number 4. true 5. false;
5 is an integer, but 5 is not an irrational number.
1 1
14
1
6. 20.25, 2}, }, 1 7. 2}, 24.6, 24 }, 24.07
5 3
3
3
A4
8. A < B 5 {22, 21, 0, 1, 3, 5};
A ù B 5 {22, 0, 1, 3, 5};
9. Associative property of multiplication
10. Commutative property of addition
11. Distributive property 12. Inverse property of
Algebra 1
Assessment Book
39. . 40. ,
1. false; Sample answer: ⏐2⏐5 2 2. true
}
3. false; Sample answer: Ï 2 is a real number,
but it is not a rational number.
4. false; Sample answer: 22 is not greater than
its opposite, 2.
}
}
2
5. 23.48, 2Ï 12 , 23 }, ⏐3.5⏐, Ï 16
5
}
}
6. A 3 B 5 {(25, 23), (25, 22), (25, 0),
(24, 23), (24, 22), (24, 0), (21, 23),
(21, 22), (21, 0)} 7. surplus of 27
8. shortage of 18 9. $50 10. As the price
increases, the market surplus increases.
11. 2x 1 ( y 1 z) 12. 224x + 12 13. 10y
4
14. 2.1 15. 20.1 16. 2} 17. 214.25
5
5
1
1
18. 213 } 19. 6 } 20. $29,500 21. } x 1 1
3
2
3
2
22. 3x 2 2 26x 1 24 23. 2} x 3 2 4x 24. 22xy
3
7
1
1
25. 129 26. 1} 27. 8 } 28. } 29. 600 ft
9
2
2
30. . 31. .
Standardized Test A
1. C 2. D 3. D 4. B 5. C 6. A 7. B 8. B
9. D 10. A 11. C 12. A 13. D 14. B
15. D 16. A 17. A 18. C 19. D 20. C
21. B 22. 21
Copyright © Holt McDougal. All rights reserved.
ANSWERS
6. Commutative property of addition 7. Inverse
property of addition 8. Associative property of
addition 9. 22.5 10. 22 11. 2 12. 29
13 27 14. 21
Chapter 2, continued
23. a. 210e + (23)r, or 210e 2 3r
b. descended 174 feet;
Standardized Test B
1. C 2. A 3. C 4. B 5. B 6. D 7. D 8. C
9. D 10. B 11. A 12. A 13. D 14. A
15. D 16. B 17. C 18. C 19. A 20. D
21. C 22. 25 23. a. C 5 0.15t 1 0.10m
b. $3.70; The total cost for 104 minutes and 7 text
messages is $16.30 and you have pre-paid $20, so
the remaining balance is $3.70. 24. a. 296 ft
b. 6 rolls; Five rolls would only be 250 feet of
fencing which is not enough. Six rolls would be
300 feet which is a little more than what is needed.
c. 4 ft; 296 feet of fencing is needed and 300 feet
is purchased, so 4 feet of fence is leftover.
d. $290.33; Six rolls of fencing costs $273.90.
6% tax is $16.43 rounded to the nearest cent.
The total cost including tax is $290.33.
Standardized Test C
1. D 2. B 3. B 4. A 5. C 6. D 7. C 8. B
9. A 10. D 11. B 12. D 13. A 14. B
Copyright © Holt McDougal. All rights reserved.
15. C 16. D 17. D 18. C 19. A 20. A
21. 3 22. a. Sample answer:
C 5 2.49p 1 3.29w where C represents total cost,
p represents pounds of peanuts purchased and w
represents pounds of walnuts purchased b. 5 packs;
The cost of the nuts is 6(2.49) 1 3(3.29) 5 24.81,
leaving $5.19 for gum. When $5.19 is divided by
$0.95, the quotient is about 5.5, so 5 packs of gum
can be purchased.
23. a. 18 feet b. 121 ft; The landscaper needs
12(18), or 216, feet of fencing, so 216 2 95, or
121, feet of fencing is still needed. c. $257.10;
Because 121 4 15 ø 8.07, 9 rolls are needed. The
rolls, with tax, cost 9($26.95)(1.06) 5 $257.10.
d. 4 ft; The landscaper will have 9(15) 2 121, or
}
}
14,
feet leftover. Because Ï14 is between Ï 9 and
}
Ï16 , the side length will be between 3 and 4 feet,
but closer to 4 feet because 14 is closer to 16.
SAT/ACT Chapter Test
1. C 2. E 3. B 4. A 5. A 6. C 7. B 8. D
15. C 16. A 17. $331 18. 8.5 19. 0.2 ft
Performance Assessment
1. Complete answers should include: an
explanation that a rational number is a ratio of two
integers; an explanation that irrational numbers
cannot be expressed as a ratio of two integers,
or a discussion of the differences between the
decimal representations of rational numbers and
irrational numbers; an example of a rational
number and an example of an irrational number.
2. a. 119 points b. 175 points c. 99 points; 17
correct answers, 6 incorrect answers, 2 left blank
ANSWERS
210e 2 3r 5 210(15) 2 3(8) 5 2150 2 24 5 2174
24. a. 240 feet b. 10 rolls; 240 4 25 5 9.6;
Because 9 rolls would not be enough, the
gardener must purchase 10 rolls. c. 10 feet;
10 rolls 5 250 feet and 250 2 240 5 10
d. $169.50
9. A 10. E 11. E 12. C 13. D 14. B
5
d. 121 points; distributive property e. }
7
f. Neither; both scored 117 points.
g. Explanations may vary; 10x 2 75 h. 85 points
Chapter 3
Quiz 1
1. n 5 216 2. t 5 27 3. f 5 90 4. w 5 24
5. d 5 30 6. y 5 12 7. z 5 2 8. h 5 24
9. x 5 1 10. 132 tiles
11. 80.75 5 32.50 1 8.25x; x ø 5.8; You can buy
5 t-shirts. The number of t-shirts must be a whole
number. The total cost with 6 t-shirts would be
$82.
Quiz 2
1. x 5 1 2. y 5 2 3. no solution 4. t 5 25
5. b 5 7.6 6. j 5 5 7. m 5 12 8. d 5 5
9. f 5 6 10. 60 dogs
Quiz 3
1. 25 2. 52% 3. 18 4. 8% 5. 130 6. 94.4
7. 22 8. 27.2 9. 77.625 10. 25.092
8
4
11. y 5 2} x 1 } 12. y 5 5x 1 8
5
5
7
I
13. y 5 2} x 1 3 14. r 5 }
3
Pt
Chapter Test A
1. a 5 220 2. q 5 8 3. y 5 27 4. 12x 5 60;
x 5 5 in. 5. t 5 7 6. b 5 8 7. m 5 5
8. y 5 2x 1 6; x 5 28
9. 25 5 3.75 1 2.80x; x ø 7.6; 7 boxes. The
number of cereal boxes must be a whole number.
The total cost with 8 boxes would be $26.15.
Algebra 1
Assessment Book
A5
10. p 5 5 11. z 5 10 12. w 5 16 13. c
16. d 5 12 17. 33 necklaces 18. a 5 216
14. 12 years old 15. y 5 215 16. no solution
19. b 5 36 20. c 5 3.125 21. d 5 3
17. b 5 212 18. c 5 6 19. d 5 15
1
20. n 5 25 21. v 5 1 } 22. x 5 0
3
23. a 5 21 24. 45 heads 25. 45% 26. 6
2
22. f 5 2} 23. g 5 214 24. 24 pounds
3
27. 51,250 voters 28. increase; 20%
29. 48% 30. $174.49 31. 80% increase
29. decrease; 15% 30. y 5 25x 1 12
2
1
4
32. y 5 } x 1 4 33. y 5 } x 2 }
3
3
3
S 2 2π r 2
}
34. h 5
35. 4 in.
2π r
2A
31. y 5 22x 2 5 32. y 5 3x 2 4 33. h 5 }
b
Chapter Test B
1
1. x 5 25 2. b 5 1 3. d 5 212 4. y 5 }
2
5. t 5 23 6. w 5 3 7. m 5 2 8. c 5 0
9. y 5 2 10. no solution 11. a 5 2
12. z 5 24
13. 722 5 295 1 3x; x ø 142.3; 142 sets. The
number of sets must be a whole number. The radio
station needs 2 more CDs to make 143 complete
sets.
14. 24x 1 552 5 5250; $195.75
15. x 1 x 1 45 5 211; 128 girls; 83 boys
16. y 5 15 17. w 5 3.3 18. t 5 212
19. m 5 3 20. x 5 7 21. z 5 27
1
22. 5000 sunfish 23. 2 } cups of flour 24. 200
2
25. 150% 26. 12.19 27. 35 28. 69,000 seats
29. decrease; about 15.3% 30. increase; 60%
1
31. y 5 5x 2 7 32. y 5 2}x 1 2
3
b 1 18.85
33. h 5 } 34. about 169 cm
0.26
25. 6 cups 26. 400 27. 125% 28. 133
Standardized Test A
1. D 2. B 3. D 4. C 5. C 6. A 7. B 8. A
9. D 10. B 11. C 12. B 13. D 14. B
7
15. C 16. C 17. D 18. D 19. 23.5 or 2}
2
20. a. S 5 0.85p b. $15.30
21. a. $120 b. $702; Add the amount of interest
I
earned, $52, to the principal, $650. c. P 5 }
rt
d. $1500
Standardized Test B
1. B 2. A 3. D 4. A 5. C 6. A 7. B 8. B
9. D 10. D 11. C 12. A 13. B 14. C
15. B 16. C 17. D 18. A 19. 21
20. a. C 5 0.65P or C 5 P 2 0.35P b. $85;
solve the equation 55.25 5 0.65P
21. a. $5437.50 b. $31,562.50; The simple
interest calculates to be $6562.50. This amount
must be added to the original $25,000 borrowed
I
for a total of $31,562.50. c. P 5 }
rt d. $12,500
Standardized Test C
1. A 2. D 3. C 4. D 5. D 6. A 7. A 8. B
35. about 67 in.
9. C 10. C 11. D 12. B 13. A 14. B
Chapter Test C
1
1. n 5 216 2. b 5 23.7 3. y 5 2}
8
15. B 16. A 17. B 18. D 19. 4.25
4
2
4. x 5 12 5. b 5 2} 6. z 5 }
3
5
equation 440 5 0.88p.
21. a. $319.31 b. $15,493.75; Add the amount of
interest, $14,800(0.0625)(0.75), or $693.75, to the
I
principal. c. r 5 }
d. 2.5%
Pt
7. 410 5 36(2) 1 3x; x ø 112.7; 112 envelopes.
The number of envelopes must be a whole
number. The venue needs 2 more free tickets to
make 113 envelopes.
4
8. 6.5 ft, 6.5 ft, and 21 ft 9. m 5 }
3
2
11
10. b 5 9.4 11. x 5 6 12. w 5 }
13. c 5 210 14. no solution 15. t 5 0
A6
Algebra 1
Assessment Book
20. a. v 5 0.88p b. 500 volunteers; Solve the
SAT/ACT Chapter Test
1. D 2. A 3. C 4. D 5. B 6. A 7. C 8. D
9. C 10. B 11. A 12. E 13. C 14. D
15. A 16. 5 ft 17. 210 18. 89.1 19. $143
Copyright © Holt McDougal. All rights reserved.
ANSWERS
Chapter 3, continued
Chapter 4, continued
8.
y
4
3
2
1
ANSWERS
⫺4 ⫺3 ⫺2 ⫺1
1
2
4 x
3
⫺4
9.
y
4
3
2
1
⫺4 ⫺3 ⫺2
1
⫺1
⫺2
⫺3
⫺4
2
4 x
3
Because the slope of
the graph of g is greater
than the slope of the
graph of f, the graph of
g rises faster from left
to right. The y-intercept
for both graphs is 0, so
both lines pass through
the origin.
Because the slope of
the graph of h is less
than the slope of the
graph of f, the graph
of h rises more slowly
from left to right. The
y-intercept for both
graphs is 0, so both
lines pass through the
origin.
18.
555
Y zX 19.
1
X
Y zX 1
20. r 5 } d 21. 2.5 in. 22. 23 23. 225
2
1
24. x 5 22 25. x 5 }
3
Chapter Test B
1.–4.
y
10. A 5 ks
4
3
2
Chapter Test A
1
D
; domain: 23, 22, 21, 0;
range: 1.5, 0.5, 20.5, 21.5
y
3
1
B
⫺4 ⫺3 ⫺2 ⫺1
1. (3, 2) 2. (0, 22) 3. (22, 21) 4. (22, 2)
1
2
3
4 x
C
⫺2
⫺3
⫺4
1. Quadrant II 2. x-axis 3. Quadrant IV
3 x
1
22 2 9 5 22(5.5);
211 5 211
1
; 241 }2 2 2 9 5 221 }2 1 5 2;
Y
A
3
X
2
5.
15
1
; }3 (0 1 15) 5 5; }
5 5;
3
Y
4. Quadrant III
5.
6. no 7. yes 8. continuous; The amount of
water in a bathtub can be calculated for any
amount of time since it began flowing.
y
9.
6
4
10.
(0, 4)
26 ⫺4
2
⫺2
4 x
/
y
22 21
21
22
23
2
3 x
6.
⫺2
⫺2
⫺4
⫺6
X
7.
y
1
⫺2 ⫺1
⫺1
1
y
4
2
2 3 x
⫺4 ⫺2
⫺4
⫺6
⫺3
⫺4
⫺5
12. 22 13. undefined
y
2
(1, 0)
1
⫺2
11.
3 (0, 3)
2
1
(22, 0)
domain: 24, 22, 0, 2, 4
range: 0, 1, 2, 3, 4
Y
(6, 0)
2
4
6
8 x
8.
(0, 26)
y
4
2
⫺4 ⫺2
⫺2
1
14. } 15. m 5 5; b 5 2 16. m 5 1; b 5 24
3
17. m 5 22; b 5 26
2
4 6 x
⫺4
⫺6
9. continuous
10. x-intercept 5 2, y-intercept 5 23
A8
Algebra 1
Assessment Book
4 6 x
Copyright © Holt McDougal. All rights reserved.
3
Chapter 4, continued
12. x-intercept 5 4, y-intercept 5 22
9. The intercepts represent the hours when the car
is at the starting position.
13. 30 mi/h, 60 mi/h, 0 mi/h, 230 mi/h
10.
14. hours 3 and 4
2
15. m 5 8, b 5 23 16. m 5 2}, b 5 1
9
3
}
17. m 5 2 , b 5 4 18. 2013 19. yes; a 5 21
4
4
20. yes; a 5 } 21. no
3
Cost (thousands of dollars)
22.
4
0
100
300
200
400
m
Distance (miles)
12.
1
; }3 ;
1
1
1
261 }3 2 5 231 }3 1 }3 2
Y
600
500
400
300
200
Y zX 2
22 5 231 }3 2
X
22 5 22
100
13. y 5 20.625x 14. y 5 6x 15. y 5 1.5x
0 1 2 3 4 5 x
16.
Number of airings
23. domain: x ≥ 0; range: C ≥ 300 24. 4 times
1.
2.
y
1
⫺8 ⫺6 ⫺4 ⫺2
⫺2
⫺4
Y
4
3
2
6 8 x
2
The graphs of f and g
have the same slope, so
the lines are parallel.
Also, the y-intercept
of g is 5 less than the
y-intercept of f.
⫺8
Q(1, 0)
⫺3 ⫺2 ⫺1
⫺1
1 2
R(3, 0)
3
4
X
5 x
P(22, 23)
original range:
25 ≤ y ≤ 11
; original range: y ≥ 21
y
3
17.
y
4
3
2
1
S(5, 23)
27
trapezoid; A 5 }
2
3.
y
8
6
4
2
Chapter Test C
Copyright © Holt McDougal. All rights reserved.
0
11. 5 gallons
C
1000
900
800
700
0
a
24
20
16
12
8
ANSWERS
Fuel (gallons)
11. x-intercept 5 5, y-intercept 5 22
⫺4 ⫺3 ⫺2 ⫺1
⫺1
⫺2
⫺3
⫺4
2
3
4 x
The slope of the graph
of h is negative, so the
line falls from left to
right. The y-intercept
is the same for both
graphs, so both lines
pass through the origin.
Standardized Test A
1
3
1
1
2 x
1. B 2. D 3. B 4. D 5. A 6. C 7. A 8. B
9. A 10. D 11. B 12. A 13. D 14. C
3
15. B 16. 23
4. continuous
8
5. x-intercept 5 }, y-intercept 5 24
3
5
6. x-intercept 5 }, y-intercept 5 1
2
7. x-intercept 5 4, y-intercept 5 3
8. The car is traveling to the right at 30 miles
per hour for the first 2 hours. Then the car speeds
up to 60 miles per hour for the next hour. The car
stops for an hour. It then turns around and travels
30 miles per hour for the last 4 hours of the trip.
Algebra 1
Assessment Book
A9
Chapter 4, continued
SAT/ACT Chapter Test
10. an 5 36.1 1 (n 2 1)22.2; 2233.9
1. E 2. D 3. B 4. D 5. C 6. A 7. B 8. C
9
9. A 10. E 11. D 12. B 13. C 14. } or 1.8
5
15. $12 16. 5 years
11. C 5 12(m 2 1) 1 10 12. $94
1. Complete answers should include: a list of the
three methods that can be used to graph a linear
equation: make a table, use intercepts, and use the
slope and y-intercept; an explanation of how to
graph 2x + y = 3 using each method.
2. a. x-intercept: 80; y-intercept: 25
Large plants
b.
6. Lines a and c are parallel.
7. relatively no correlation 8. negative
correlation 9. 4 10. 18
Chapter Test A
y
30
25
20
15
10
5
0
3
1
1. y 5 5x 2 7 2. y 5 }x 1 }
2
2
2
3. y 5 2} x 2 6 4. y 5 3x 2 9
5
5. Lines a and b are perpendicular.
3
1. y 5 22x 2. y 5 } x 2 1 3. y 5 3x 2 9
4
2
4. y 5 2x 1 2 5. y 5 } x 2 3 6. $30 7. $35
3
0 16 32 48 64 80 96 x
Small plants
8. C 5 35m 1 30 9. $450
10.
plants that can be placed in the garden if no large
plants are used. The y-intercept represents the
number of large plants that can be placed in the
garden if no small plants are used.
d. Sample answer: 16 small and 20 large; 32 small
and 15 large; 48 small and 10 large
5
5
e. 2} f. y 5 2} x 1 25
16
16
Large plants
3
2
1
1 2 3 x
23 22
1
2
3 4
5
6 x
22
23
12. not arithmetic; There is no common
difference. 13. arithmetic; 244, 255
1
1
14. f (x) 5 2} x 1 } 15. f (x) 5 4x 2 15
2
2
16. 4s 1 6l 5 304 17. Sample answer: 1 seat
25
cushion and 50 license plate holders; 10 seat
cushions and 44 license plate holders
20
15
10
1
18. Parallel: y 5 } x 1 5;
2
5
0
0 16 32 48 64 80 96 x
Small plants
Perpendicular: y 5 22x 1 15
19.
h. The slope remained the same, but the
y-intercept increased by 5 units.
Chapter 5
Quiz 1
1. y 5 2x 2 1 2. y 5 2x 1 1
1
7
4
3. y 5 2} x 1 5 4. y 5 } x 1 }
2
5
5
5. y 1 2 5 3(x 2 2) or y 2 7 5 3(x 2 5)
Calories
Copyright © Holt McDougal. All rights reserved.
y
30
O
y
11.
y
4
3
2
1
c. The x-intercept represents the number of small
g.
ANSWERS
Performance Assessment
Quiz 2
y
700
650
600
550
500
450
400
0
0 10 20 30 40 50 x
Fat (g)
20. The scatter plot shows a positive correlation.
As the grams of fat increased, the number of
calories tends to increase.
3
3
6. y 2 4 5 }(x 2 6) or y 2 1 5 }(x 2 2)
4
4
7. 3x 1 y 5 3 8. x 2 y 5 2
9. an 5 218 1 (n 2 1)13; 1269
Algebra 1
Assessment Book
A11
Chapter 5, continued
22. 520 calories
23. 8
24. 23
25. 2
y
700
650
600
550
500
450
400
0
0 10 20 30 40 50 x
Fat (g)
Chapter Test C
7
4
1. y 5 2} x 1 4 2. y 2 3 5 2}(x 1 1)
5
6
9
3. F(C) 5 } C 1 32 4. f (x) 5 23x 2 7
5
7
1
5. f (x) 5 2} x 2 }
2
4
6.
Chapter Test B
28
4
1. y 5 } x 2 5 2. y 5 2x 2 1
3
7.
y
4
2
O
24
2 4 x
2
1
24
23 22
3. y 5 2.45x 1 15.50 4. $52.25
5. A 5 4 6. B 5 21
8.
3
2
1
22
O
1 2
3
4 x
24
22
23
22
O
22
23
y 1 3 5 4(x 2 2) 11. arithmetic; 241, 252
12. not arithmetic; There is no common
difference. 13. 2x 1 2y 5 10 14. 4x 1 y 5 5
15. 5x 1 4y 5 214 16. y 5 5
17. 0.05n 1 0.25q 5 3.80 18. Sample answers:
26 nickels and 10 quarters; 1 nickel and
15
2
15 quarters 19. Parallel: y 5 2}7 x 2 }
;
7
7
Perpendicular: y 5 }2 x 1 13
Calories
y
700
650
600
550
500
450
400
As the grams of fat increase, the number of
calories tends to increase. 22. y 5 11x 1 211
23.
24. 519 calories
y
Calories
12. 2x 2 5y 5 10 13. y 5 22 14. x 5 4
15. x 1 2y 5 6 16. The figure is not a right
1
5
4
triangle because the slopes are 2}3, 2}9, and }6 ,
none of which are negative reciprocals.
17.
y
36
32
28
24
20
16
0
0 2.0
2.5
3.0
3.5
4.0 x
Weight (thousands of pounds)
18. The scatter plot shows a negative correlation.
As the weight of the car increases, the gas mileage
tends to decrease. 19. y 5 28x 1 49
20. 22 mi/gal 21. x ø 6; There will be no gas
mileage for a car that weighs 6000 pounds.
1. D 2. B 3. C 4. D 5. A 6. B 7. D 8. C
0 10 20 30 40 50 x
21. The scatter plot shows a positive correlation.
700
650
600
550
500
450
400
0 10 20 30 40 50 x
Fat (g)
A12
11. an 5 12.7 1 (n 2 1)1.8; 190.9
Standardized Test A
Fat (g)
0
3 x
10. an 5 14 1 (n 2 1)(216); 21570
1 2 x
4 for each increase of 1 in the x-value.
10. Sample answer:
0
1 2
9. k 5 1; Sample answer: y 2 2 5 2(x 2 2)
9. The y-values increase at a constant rate of
20.
O
8. k 5 28; Sample answer: y 2 1 5 22(x 1 2)
y
3
2
1
Miles per gallon
y
7.
y
5
4
3
Algebra 1
Assessment Book
9. A 10. A 11. D 12. B 13. D 14. 24
15. a. The situation can be modeled by a linear
equation because the cost increases by a constant
amount. b. $210 c. $40
16. a. y 5 2.5x 1 10 b. y 5 2.5x 1 5 c. The
graphs are linear and have the same slope of 2.5.
This means that the graphs are parallel.
d. Regardless of the number of movies rented, the
difference will always be $5. Each person pays the
same amount per rental. The only difference is in
the registration fee.
Copyright © Holt McDougal. All rights reserved.
ANSWERS
Calories
21.
Chapter 6, continued
5. The graph of g(x) 5 2⏐x 1 1⏐ opens down
and is 1 unit to the left of f (x) 5⏐x⏐.
21. The graph of g(x) 5⏐x 1 1⏐ is 1 unit to the
left of f (x) 5⏐x⏐.
Y
Y
F X \X \
/
G X \X \
X
G X \X \
6. x ≤ 25 or x ≥ 5;
22. The graph of g(x) 5⏐x⏐2 3 is 3 units below
the graph of f (x) 5⏐x⏐.
0
26 24 22
4
7. 0 < x < };
3
2
4
6
Y
4
3
0
23 22 21
8. 25 ≤ x ≤ 21;
1
2
0
26 24 22
2
4
10.
y
3
F X \X \
3
X
6
y
G X \X \
3
23. yes 24. yes 25. no
1
5 x
1
21
21
23
3 x
1
21
21
23
26.
3. x > 3;
0
3
6
9
26 24 22
0
2
4
3
⫺3
1. x > 218;
220 216 212 28
6
24
0
2. y > 12;
0
26 24 22
2
4
6
6
8
10 12 14 16 18
3. d > 2;
8
216
0
8
24
16
7. p 2 10 ≤ 80; p ≤ 90 8. y ≤ 21 9. x ≥ 4
10. t ≤ 5 11. all real numbers 12. a > 22
13. no solution 14. 3(2x 1 1) ≤ 63; x ≤ 10
16. x ≤ 22
15. x . 4
y
8
6
4
(4, 0)
2
4
(2, 0)
8 x
6
4
6
8
2
4
4
6
8
17. 25 < x ≤ 1 18. x < 0 or x ≥ 3
19. x > 3 or x ≤ 1;
23 22 21 0 1 2 3 4 5
20. 24 ≤ x ≤ 2;
25 24 23 22 21 0 1 2 3
Algebra 1
Assessment Book
2
4
4. a < 4;
24 23 2221 0 1 2 3 4
g
5. } ≤ 0.40; g ≤ 7.2 6. No, the team can lose
18
at most 7 games. 7. no solution 8. p ≤ 25
3600
10. 8n 2 2.50n 2 600 $ 1200; n $ }
11
11. No, they must sell at least 328 calendars.
2
8 6 4 2 O
0
22
9. all real numbers
y
8
6
4
2
1
Chapter Test B
6. n < 12;
8 6 4 2 O
x
⫺1
⫺1
⫺3
3 x
1
⫺3
1. x < 2 2. x ≥ 25
5. t ≤ 4;
1
⫺1
Chapter Test A
4. w ≤ 22;
y
3
1
23
29 26 23
27.
y
3
⫺3
A14
X
9.
F X \X \
6
8 x
12. x < 3 or x $ 12;
0
13. 24 # x < 8;
⫺5
5
0
10
5
15
10
7
14. The pressure is between from 70 } lb/in.2 and
11
3
lb/in.2.
to 270 }
11
Copyright © Holt McDougal. All rights reserved.
ANSWERS
Chapter 6, continued
15. The graph of g(x) 5⏐x 1 1⏐2 2 is one unit
to the left and two units below the graph of
f (x) 5⏐x⏐.
8. x ≤ 210
ANSWERS
5 10 15 20 25 x
(10, 0)
5
10
15
5 10 15 x
1510 5
(10, 0)
10
15
F X \X \
/
5
5
y
y
15
10
Y
9. x . 10
20
25
X
G X \X \
10. 23 # x < 6;
24 22
0
2
4
6
8
11. not possible;
212 210 28
16. The graph of g(x) 5 22⏐x⏐ opens down and
is narrower than the graph of f (x) 5⏐x⏐.
26
24
22
12. x < 22 or x > 5;
24 22
0
2
4
6
8
13. all real numbers;
0 1 2 3 4 5 6 7 8
Y
14. You must score at least 72 on the next algebra
test. 15. no solution
F X \X \
/
4
16. x 5 2}; x 5 24 17. ⏐x 2 5⏐ 5 3
3
18. ⏐x 1 1⏐ 5 2
X
19. The graph of g(x) 5 0.25⏐x⏐2 2 is wider
than and 2 units below the graph of f (x) 5⏐x⏐.
G X \X \
17.
18.
y
3
y
3
1
⫺3
⫺1
Y
1
1
⫺3
3 x
⫺1
⫺1
⫺3
x
1
3
⫺3
F X \X \
/
X
G X \X \
Bleacher seats
Copyright © Holt McDougal. All rights reserved.
19. 30x 1 20y $ 380,000
20,000
18,000
16,000
14,000
12,000
10,000
8,000
6,000
4,000
2,000
0
20. The graph of g(x) 5 22⏐x 1 1⏐2 0.5 is 1
unit to the left, 0.5 of a unit below, and narrower
than the graph of f (x) 5⏐x⏐.
y
3
2
1
6 4 2 O
0
4,000 8,000 12,000
Floor seats
20. Sample answer: (10,000, 12,000); The
promoter could sell 10,000 tickets for floor seats
and 12,000 tickets for bleacher seats.
Chapter Test C
5
1. x # 21.2 2. x < } 3. all real numbers
8
13
1
}
4. no solution 5. (6x 2 3)9 $ 45; x $ }
2
6
2
3
6 x
4
g(x )2 \x 1 \0 .5
21. 0 < x < 16;
216
28
22. x < 20.5 or x > 4;
0
8
16
20.5
22 21 0 1 2 3 4 5 6
23. ⏐x 2 35⏐ # 3.5, 31.5 # x # 38.5; The actual
temperature can be between 31.58C and 38.58C.
y
24.
y
25.
3
3
1
6. 23.9w # 19.5; w $ 25
5n 2 9
7. 22 < } # 3; 1 < n # 3
2
f (x )\x \
2
⫺3
⫺1
⫺1
⫺3
1
1
3 x
⫺3
⫺1
⫺1
1
3 x
⫺3
Algebra 1
Assessment Book
A15
Chapter 6, continued
34.3 1 x
18. a. } ≥ 9; x ≥ 10.7 b. no; To win, the
5
y
30
25
20
15
10
score must be 10.7 or greater, but these
scores are impossible to receive.
5
0
0 10 20 30 40 50 60 x
Length (inches)
27. Sample answer: (15, 10); The box could have
a length of 15 inches and a width of 10 inches.
Standardized Test A
5
19. a. 20 ≤ } (F 2 32) ≤ 25; 68 ≤ F ≤ 77
9
c
b. 68 ≤ } 1 37 ≤ 77; 124 ≤ c ≤ 160
4
c.
SAT/ACT Chapter Test
1. A 2. A 3. C 4. D 5. A 6. C 7. B 8. B
1. D 2. A 3. C 4. E 5. A 6. B 7. D 8. C
9. D 10. B 11. A 12. B 13. C 14. D
9. D 10. C 11. B 12. B 13. A 14. D
17. a. 3.50 1 0.45t ≤ 7.50, where t is the number
of lines of text b. 3 ≤ 8.9; 8 lines of text at most;
I rounded down because I cannot afford 9 lines of
text.
18. a. 105 ≤ a ≤ 145 b. 180 ≤ t ≤ 200
c. 500 ≤ p ≤ 700; The student must sell at least
$800 worth of covers, but she cannot sell more
than $1000 worth of covers because she has only
200 calculators to sell. Subtract $300 from each
amount to find the profit.
Standardized Test B
1. D 2. B 3. A 4. B 5. D 6. C 7. B 8. D
9. A 10. C 11. A 12. B 13. A 14. C
15. C 16. 8.5 min
98 1 85 1 72 1 78 1 x
17. a. }} $ 85; x $ 92
5
b. No, it is not possible to earn an average of 92.
A score of 100 on the last test would still only give
you an average of 86.6.
18. a. a $ 285 b. t $ 800 c. c # $500 or
$0 # c # $500; Selling 750 tickets would raise
$1500 for the club. Anything over that amount
is used to purchase calculators. After selling 750
tickets, there are 250 tickets remaining, which
would total $500. So, the maximum amount that
can be used towards calculators is $500 and the
minimum amount is $0.
Standardized Test C
1. D 2. B 3. A 4. A 5. D 6. C 7. B 8. A
9. B 10. D 11. C 12. B 13. A 14. D
15. B 16. C 17. 10.5
15. $850 16. 218 17. 83 cm
Performance Assessment
1. Complete answers should include: a discussion
of the equivalent compound inequality ax 1 b > 9
or ax 1 b < 29; a discussion of how to solve each
part of this compound inequality; a rough sketch
of a solution consisting of two rays having open
circles that point in opposite directions.
12
2. a. 125 1 8.5p ≤ 250; p ≤ 14}
17
b.
0 2 6 4 8 10 12 14 16
; 14 door prizes
c. $1256 d. 11x 1 9y 1 56 ≤ 1256
e.
y
Number of
chicken entrées
15. B 16. 280
140
120
90
60
30
0
0 30 60 90 120 x
Number of
beef entrées
f. Sample answer: 100 beef and 10 chicken;
50 beef and 70 chicken; 25 beef and 100 chicken
g. For sample answer in part (f ): $10, $20, and
$25, respectively.
Chapters 1–6
Cumulative Test
1. 19 2. 82 3. 22 4. 77 5. sometimes
75
6. 5x 1 17 7. 21 2 5y < 7 8. } 5 25
z12
}
}
9. 21a 1 15c; $129 10. 2Ï 5 , 21.6, 0, Ï 4 , 3.1
3
11. {4, 6} 12.218 13. 25 14. 23 15. 2}
4
1
16. 290 17. 42 18. 3 19. 249 20. 2}
50
21. 219 22. 17 23. 49 24. 22 25. 3x 2 18
A16
Algebra 1
Assessment Book
Copyright © Holt McDougal. All rights reserved.
Width (inches)
ANSWERS
26. x 1 2( y 1 24) # 108;
Chapter 7, continued
4.
5.
y
Chapter Test B
y
3
1
23
23
6.
3 x
1
21
21
5.
23
7.
y
3
Studnet tickets
y
3
1
21
23
3 x
1
23
3 x
1
y
180
160
140
120
100
80
60
40
20
0
60
100
Adult tickets
x
6. 75 adult tickets and 30 student tickets
Chapter Test A
7. (22, 1) 8. (2, 210) 9. (3, 21)
1. (22, 3) 2. (1, 21)
3. 2w 1 2l 5 228 and l 5 w 1 42
10. (24, 8) 11. (5, 2) 12. (1, 1)
4.
13. y 5 x 1 30, 26x 1 15y 5 3115; $65 for
5. 78 feet by 36 feet 6. (2, 21) 7. (4, 3)
a single-occupancy room and $95 for a
double-occupancy room
14. (2, 23) 15. (2, 0) 16. (3, 1) 17. (21, 1)
18. (8, 6) 19. (21, 2) 20. no solution
21. one solution 22. infinitely many solutions
23. There is no solution, so you cannot determine
the cost of a bagel.
8. (3, 2) 9. (27, 223) 10. (1, 1) 11. (6, 6)
24.
100
80
60
40
20
0
0 20
60
100
Width of
tennis court
w
12. x 1 y 5 300, 0.04x 1 0.07y 5 15; 100 mL of
7% solution and 200 mL of 4% solution
13. (5, 21) 14. (2, 27) 15. (3, 22)
16. (2, 21) 17. (1, 1) 18. (5, 22) 19. no
solution 20. one solution 21. infinitely many
solutions
22.
23.
y
3
1
13
5 x
21
21
1
35 x
23
Babysitting hours
24. x ≥ 0, y ≥ 0, 10x 1 5y ≥ 150, x 1 y ≤ 25;
y
30
25
1
x
3
23
21
21
⫺3
x
1
23
26. x ≥ 0, y ≥ 0, x ≤ 65, y ≤ 35;
y
35
30
25
20
15
10
5
0
0 10 20 30 40 50 60 70 x
Written examination
Chapter Test C
1. (21, 23);
20
15
10
5
0
y
1
1
⫺1
⫺1
y
1
21
25.
y
3
Oral presentation
Length of
tennis court
120
2. no solution;
y
y
1
0 5 10 15 20 25 30 x
Farm hours
25. Yes, you will earn $160 per week.
A18
0 20
Copyright © Holt McDougal. All rights reserved.
ANSWERS
3 x
1
21
21
23
1. yes 2. no 3. yes 4. x 1 y 5 105,
4x 1 2y 5 360
Algebra 1
Assessment Book
⫺3
⫺1
⫺1
1 x
⫺1
⫺1
⫺3
⫺5
1
x
Chapter 7, continued
Standardized Test B
y
3. (4, 23);
6
1. D 2. B 3. A 4. B 5. D 6. B 7. C
2
22
22
1
2
x
5. (2, 1) 6. (2, 2) 7. (1, 23)
8. no solution 9. (1, 24) 10. 225 liters
2
2
11. }, 2}
3
3
1
2
12. infinitely many solutions
13. (0, 22) 14. no solution 15. (23, 5)
16. (5, 3) 17. 135 miles per hour; 15 miles per
hour 18. infinitely many solutions 19. one
solution 20. no solution 21. y ≤ 5, y > x
22. y ≤ 2, 3x 2 y ≤ 3
Batches of cakes
2
23. x ≥ 0, y ≥ 0, 1.5x 1 2y ≤ 15, } x 1 3y ≤ 13
3
same slope, they are parallel. Therefore, there
will never be exactly one solution.
14. a. x 1 y 5 500 and 0.02x 1 0.07y 5 25
b. The car wash owner would use 200 gallons of
the 2% liquid soap and 98% water solution and
300 gallons of the 7% liquid soap and 93% water
solution. c. The car wash owner would use more
of the 7% liquid soap and 93% water mix than in
the original mix because in the original mix the
other solution contained soap. In the new mix,
there is no soap being added to the 7% liquid
soap and 93% water mix.
Standardized Test C
D
9. A 10. B 11. D 12. 21.5
1
13. a. m 5 2} and n 5 2 b. The value of m
2
1
would be anything other than 2}2 because when
4
3
2
1
0 4 8 12 16 20 x
Batches
of cookies
1
24. 0, 4 } , (10, 0), (0, 0), (6, 3)
3
1
Copyright © Holt McDougal. All rights reserved.
13. a. m 5 4 b. No; because the lines have the
1. B 2. A 3. A 4. C 5. C 6. D 7. A 8.
y
8
7
6
5
0
8. A 9. C 10. D 11. C 12. 1
ANSWERS
2
4. }, 22
3
2
2
1
25. 0, 4 } : $130, (10, 0): $200, (0, 0): $0,
3
1
2
(6, 3): $210; (6, 3)
Standardized Test A
1. D 2. C 3. C 4. A 5. B 6. B 7. D 8. C
9. B 10. D 11. C 12. 23
13. a. m 5 6; For the system to have infinitely
many solutions, the lines must have the same
slope and the same y-intercept. b. Sample answer:
m 5 2; For the system to have no solution, the
lines must be parallel, so they must have the same
slope and different y-intercepts.
14. a. Sample answer: x 1 y 5 41 and
0.10x 1 0.05y 5 3.30; Let x represent the
number of dimes and y represent the number of
nickels. The first equation gives the number of
coins and the second gives the value of the coins.
b. 25 dimes and 16 nickels c. Sample answer:
The second equation could have been written
using cents instead of dollars: 10x 1 5y 5 330.
the slopes are the same, there is either no solution
or infinitely many solutions. The variable n could
then take any value.
14. a. x 1 y 5 3 and 0.35x 1 0.2y 5 0.75
b. 1 L of 35% solution and 2 L of 20% acid
solution c. about 2.14 L of 35% solution and
about 0.86 L of water
SAT/ACT Chapter Test
1. E 2. B 3. A 4. D 5. C 6. C 7. B
8. E 9. E 10. D 11. E 12. 1
13. 3.5 lb 14. $6.50 15. 3 touchdowns
Performance Assessment
1. Complete answers should include: mention
of all three categories for the number of solutions
to a system of two linear equations (one solution,
no solution, infinitely many solutions); a description of the graph of the system as intersecting,
parallel, or coincidental lines.
2. a. x 1 y 5 108
x 5 2y
Algebra 1
Assessment Book
A19
Chapter 7, continued
Passing plays
ANSWERS
b.
y
100
80
60
40
20
0
c. (72, 36); yes
5.
6.
y
y
7
7
5
5
3
3
(72, 36)
0
40
120 x
80
Running plays
1
23
d. 72 running plays e.
21
1
x
23
1
21
3
x
y
7. y 5 80,000(1.05)x; $107,208
40
20
8. geometric;
x
20 40 60
Y
120
f. Sample answer: (50, 30); (70, 25); (30, 50)
g. x > y
h.
3
y
/
X
40
Chapter Test A
x
20 40 60
120
36
1. 59 2. (22)7 3. }6 4. x8 5. y 20 6. w 9
8
t3
1
1
1
7. $100,000 8. } 9. } 10. 5 11. }5 12. }
7
9
8
p
Chapter 8
Quiz 1
1. 85 2. (23)6 3. 615 4. (22)10 5. 164 p 74
6. 49 7. 97 8. 212 9. x10 10. 2x14 11. 3x13
x20
12. 72x9 13. x15 14. }
16
1
13. 1 14. 10,000 meters 15. 5 16. } 17. 3
4
18. 5.6 3 104 19. 3.51 3 1023 20. 9 3 107
21. 3200 22. 0.0571 23. 9,300,000,000
24. 500 sec
Quiz 2
y6
x3
2
1
1. } 2. }
3. } 4. 9x2 5. 9 6. }
5
3
8
343
xy
16x8
25.
7. 64 8. 625 9. 930,000 10. 70,400
11. 0.00562 12. 0.000004209 13. 9.3 3 107mi
x
22
21
0
1
2
y
}
1
9
}
1
3
1
3
9
26.
y
9
Quiz 3
3
1.
2.
y
7
7
5
5
3
3
1
23
1
1
21
3
x
23
1
21
1
21
y
3
x
x
27. The domain is all real numbers and the range
is all positive real numbers.
28. y 5 200(1.05)x 29. $231.53 30. B
31. A 32. C
33. geometric;
34. arithmetic;
Y
3.
4.
y
Y
y
7
7
5
5
3
A20
21
Algebra 1
Assessment Book
X
X
Chapter Test B
1. (27)11 2. 524 3. 123 4. 107 5. 109 6. x 5
1
23
1
3
x
23
21
1
3
x
1
7. 81p 2q 2 8. 25m15 9. y 10 10. 2}5
t
Copyright © Holt McDougal. All rights reserved.
20
Chapter 8, continued
1
a32
11. }4 12. } x 2(6x4); 3x 6 square units
2
16b
d6
2
1
1
13. }7 14. }3 15. }
16. 1024 17. }
256
w
125g
8c10
Step
Number of
new triangles
Side length of
new triangle
1
3
}
2
9
}
3
27
}
4
81
}
1
2
25
20. 5 21. 6.4 3 10
22. 2 3 105 23. 3 3 1015 24. 8.125 3 1016
25. y 5 2 p 4x 26. y 5 160,000(1.05)t
1
4
1
8
27. $160,000; 1.05; 0.05 28. $424,528
29. The graph is a vertical stretch and reflection
1 x
in the x-axis of the graph of y 5 }3 ; The domain
1 2
is all real numbers and the range is all negative
real numbers.
y
1
1
21
21
5 x
23
ANSWERS
18. 81 19. ,
7.
1
16
37
3
1 6
8. }2 5 35 5 243 9. 3 } 5 } 10. undefined
2
64
3
f2
3
16c 20
25
11. 27 12. } 13. 2}6 14. }
15. }4
8
8
3g
81d
q
1 2
1
16. } 17. 1 18. 225
2197
19. 4.07 3 1026; 0.0000284; 3.4 3 1025;
25
31. exponential decay; y 5 4 p (0.9)x
0.00004; 0.00020079
20. 1.2 3 1015 21. 3 3 1023 22. 2.60 3 1029;
The number of grains of sand that equal the
volume of Earth.
32. geometric;
23.
30. exponential growth; y 5 8 p (1.5)x
y
Y
1
25
21
21
1
x
Copyright © Holt McDougal. All rights reserved.
/
X
33. arithmetic;
The graph is a vertical stretch and reflection in the
x-axis of the graph of y 5 2x. The domain is all
real numbers and the range is all negative real
numbers.
y
24.
Y
3
1
23
/
21
21
1
3 x
23
X
Chapter Test C
4w 6
1. 79 2. 82 3. }
4. 218a 10b 9 5. (k 1 2)16
3
3v
6. 520
The graph is a vertical shrink of the graph of
y 5 2x. The domain is all real numbers and the
range is all positive real numbers.
25. 64 ft; 0.75; 0.25 26. y 5 64(0.75)t
Y
27. 27 ft 28. arithmetic
X
Algebra 1
Assessment Book
A21
Chapter 9, continued
5. 4z2 1 z 2 18 6. p2 2 6p 2 7
4. 4n3 2 2n2 1 4n 1 12
7. 64m2 1 48m 1 9 8. 25y2 2 60y 1 36
5. D 5 218.53t 2 1 895t 1 40,091
9. w 2 1 4w
6. 50,579,000 students 7. 36c 3 2 20c 2 2 32c
1. 3x(4x 1 y) 2. 7ab(3b 1 5) 3. 9z2(1 2 2z)
4. 4p(1 2 2p) 5. (w 1 1)(w 1 14)
6. (m 2 10)(m 2 2) 7. (2k 2 1)(k 1 3)
8. (3b 1 1)(b 2 7) 9. (2y 1 5)(4y 1 3)
12. 4b2 1 12b 1 9
13. V 5 2(x 2 4)(x 1 4) 5 2x 2 2 32
1
14. 40 in.3 15. 2}, 7 16. 0, 8 17. 22, 0
2
1
10. 2(2d 1 5)(d 1 1) 11. 26, 4 12. 0, }
3
7
18. 3w(w 2 2) 5 w(w 1 1) 19. }
2
13. 3, 4 14. 22, 0 15. 2, 5 16. 23, 22
20. (n 2 18)(n 1 4) 21. 2(x 2 9)(x 2 5)
22. (3k 1 4)(2k 2 3) 23. h 5 216t 2 1 30t 1 4
Quiz 3
1. (x 1 9)(x 2 9) 2. (3z 1 11)(3z 2 11)
3. (10m 1 7n)(10m 2 7n) 4. (h 1 7)2
24. 2 sec 25. x 3(x 1 1)(x 2 1)
26. (a 2 3)(5a 2 7) 27. t 2(3t 1 5)2
10. 3(z 1 5)2 11. 2k(k 2 9)2
2
28. (b 1 5)(b2 2 3) 29. 25, 23 30. 1, }
5
3
31. 6} 32. 26, 62
2
12. (x 1 y)(x 1 2) 13. 25 14. 22, 2
Chapter Test C
5. (8t 2 1)2 6. 4(a2 1 b2) 7. 6(x 1 y)(x 2 y)
8. 5(m 1 2n)(m 2 2n) 9. x(x 2 5)(x 1 2)
15. 27, 0, 7 16. 0, 1, 5 17. 6 in. long by 2 in.
1. 3p3 1 6p2 2 12p 1 9 2. x2y 2 11xy 2 y 2 3
wide by 8 in. high
3. 9cd 1 3c 1 4d
4. D 5 218.53t 2 1 895t 1 40,091
Chapter Test A
3
1. 10a 1 a
2
3
2
2. y 1 2y 2 4y 2 2
2
3. 22x 1 7x 2 8 4. 3h2 2 3h 1 17
5. θ 5 0.014t 2 1 0.15t 1 10
Copyright © Holt McDougal. All rights reserved.
10. 16p2 2 1 11. w 2 2 10w 1 25
6. 129,000 7. 2n4 2 3n2 1 2n
8. 8w 2 2 26w 1 21 9. d 3 1 4d 2 1 5d 1 2
10. p2 2 9 11. t 2 2 8t 1 16 12. 4s2 2 25
2
2
13. 25% 14. 0.25B 1 0.5Bb 1 0.25b
1
4
15. 27, 4 16. 25, } 17. 4c 5(c 3 2 2)
18. 6g (f 2g 2 1 2) 19. 2k(k 2 1 3k 2 7) 20. 0, 3
3
21. 0, } 22. h 5 216t 2 1 20t 23. 1.25 seconds
7
5. The difference was increasing until it peaked
in 2009 and then it began decreasing.
6. 12x 3y 2 18x 2y 2 1 2xy 3
7. 23s 3 1 13s 2 1 4s 2 32
8. 5a2 1 2ab 2 7b2 9. 25z 2 2 40z 1 16
1
10. 49t 2 2 9u2 11. 9q2 2 }
4
12. V 5 x(15 2 2x)(12 2 2x) 13. 0 < x < 6
3 9
1
14. 176 cubic inches 15. 0, 2} 16. 2}, }
3
2 5
17. 30 mi/h 18. (x 1 3y)(x 2 17y)
19. (4m 1 5n)(m 1 n) 20. c(2c 2 d)(c 2 3d)
24. (x 1 7)(x 1 2) 25. (y 2 4)( y 1 3)
21. 3 m by 5 m 22. 1 cm by 5 cm
26. (3m 1 2)(m 1 6) 27. 3 cm by 20 cm
23. p(6 2 7p)(6 1 7p) 24. y(3y 1 5)2
28. 3x(x 1 2)(x 1 3) 29. 2(s 1 3)(s 2 3)
25. (v 2 x)(u 2 w) 26. (5a 2 2b3)2
30. (r 1 7)(r 1 3) 31. 0, 22, 5 32. 27, 4
27. 23(c 2 5u)(c 1 5u)
33. 8 ft by 10 ft
1
28. (x 2 7)(x 1 7)(x 1 2) 29. 2 } sec
4
30. 0, 65 31. 62, 3
Chapter Test B
3
ANSWERS
8. 5y 2 1 17y 2 12 9. 5s3 1 32s2 2 13s 2 10
Quiz 2
3
2
1. 3a 2 2 2. 3x 2 4x 1 4x 1 35
32. Sample answer: x3 1 x2 2 2x 5 0
3. 213d 3 1 2d 2 2 3d 1 1
33. Sample answer: 3x2 1 10x 2 8 5 0
Algebra 1
Assessment Book
A23
Chapter 10, continued
Quiz 2
6. domain: all real
}
}
1. 23, 3 2. 2Ï 7 , Ï 7 3. 25, 1 4. 4, 6
}
}
Y
numbers;
range: y ≤ 9
}
X X
9. y 5 22(x 2 1)2 1 4
7. domain: all real
y
(1, 4)
1
O
x
1
y
7
x 5 22
numbers;
3
range: y ≥ 2}4
2
(24, 0)
(23, 0)
(2
x 1
ANSWERS
5. 2, 6 6. 1 2 Ï11 , 1 1 Ï11 7. 23 2 Ï7 ,
}
}
}
23 1 Ï 7 8. 24 2 2Ï3 , 24 1 2Ï 3
7
2
3
,2 4
1
)
x
8. 22, 4 9. no solution 10. 65.29 11. 66
10. y 5 (x 1 2)2 2 1
12. 27, 23
13. You must add 9 to both sides of the equation;
Y
X x 2 2 6x 5 3
x 2 2 6x 1 9 5 3 1 9
/
X
(x 2 3) 2 5 12
}
x 2 3 5 6 2Ï 3
}
1
1
11. 2}, 2 12. 23, 5 13. 23 14. }, 3
2
3
x 5 3 6 2Ï 3
14. y 5 2(x 2 3)2 1 2
y
Quiz 3
(3, 2)
1. no solution 2. two solutions
1
3. one x-intercept 4. two x-intercepts
x
1
x Copyright © Holt McDougal. All rights reserved.
5. linear function; y 5 2x 2 1
6. quadratic function; y 5 2x 2 1 1
15. y 5 (x 2 1)2 1 1
3
Y
Chapter Test A
1.
y
5
X
3
X 1
23
1
21
21
3 x
The graph is a vertical stretch (by a factor of 3) of
the graph of y 5 x 2.
21
19. 1996 20. no solution 21. two solutions
22. one solution 23. exponential function
Chapter Test B
1
23
18. 21.45, 3.45
24. quadratic function
y
2.
16. 20.12, 2.12 17. 21.5
1
3 x
1.
y
3
23
1
3 x
23
The graph is a reflection in the x-axis and a vertical
translation (of 2 units up) of the graph of y 5 x 2.
3. y = 216x 2 + 48x + 3 4. 1.5 sec 5. 39 ft
23
The graph is a vertical
1
shrink (by a factor of }4 )
and a vertical translation
(of 1 unit down) of the
graph of y 5 x 2.
Algebra 1
Assessment Book
A25
Chapter 10, continued
2.
20. 1998 and 2001 21. none 22. two 23. one
y
24. linear function 25. quadratic function
3
26. exponential function
21
21
Chapter Test C
3 x
1
The graph is a reflection in the x-axis and a
vertical translation (of 5 units up) of the graph of
y 5 x 2.
3. maximum value; f (2) 5 11
4. minimum value; f (2) 5 3
5. minimum value; f (0) 5 7
6. 9 ft
7. domain: all real
y
numbers;
10
(1, 9)
range: y ≤ 9
6
x 1
h
12
10
8
6
4
2
0
0 1 2 3 4 5 d
Distance (miles)
y
5.
(4, 0) x
1
3.
4. about 8 feet
2
( 2, 0)
1O
1. The graph of g would be a reflection in the
x-axis and a shift 7 units up from the graph of f.
2. The graph of g would be a vertical stretch by a
factor of 8 and a shift 2 units down from the graph
of f.
6.
1
8. domain: all real
Y
/
1
X
1
1
x52
23
X 1
3
y
9.
22
24
7. R 5 (10 1 n)(8,0002500n)
10.
8. R 5 2500n2 1 3000n 1 80,000 9. $84,500
10. $13 11. 21.3, 3.3 12. 20.83, 16.83
y
x
13. 20.22, 2.22
2 2
14. y 5 2 x 2 } 1 3
3
5
1
212
2
Y
1
1
3
27, 2
21, 4
11. 60.75 12. 2.54, 9.46 13. no solution
}
}
14. 3; 16; 4; 4; 6Ï 19 ; 4 6 Ï 19
15. y 5 23(x 1 2)2 1 4
y
( 2, 4)
1
O
5 x
(1.875, 2.53125)
1.875
5 x
21
x 3
(2, 0)
numbers;
range: y ≥ 24
y
1
x
X
X 15. no solution 16. 21.45, 3.45 17. 27 mi/h or
55 mi/h 18. no 19. (a) Sample answer: c 5 4;
(b) c 5 5; (c) Sample answer: c 5 6
1
20. linear function; f(x) 5 } x 1 3
2
21. quadratic function; f(x) 5 2x 2 2 5
x 2
x
Standardized Test A
16. y 5 2(x 2 3)2 1 3
Y
1. B 2. D 3. B 4. C 5. A 6. B 7. D 8. C
9. A 10. D 11. A 12. D 13. B 14. 22
15. a. linear function; y 5 6x 1 15 b. no;
X /
X
2
17. 29.57, 1.57 18. 21.09, 4.59 19. 2}
3
A26
Algebra 1
Assessment Book
Sample answer: Six hours is twice three hours,
but $51 is not twice $33.
Copyright © Holt McDougal. All rights reserved.
23
Height (feet)
ANSWERS
1
Chapter 10, continued
16. a. y 5 22x2 1 40x 1 600 b. $800
c. 10 more students; when x 5 10, y 5 800
c. 13.8 ft d. 0.78125 sec e. 0.30 sec and 1.27 sec
after release f. 1.52 sec
Standardized Test B
Chapter 11
sample answer: 225 fliers is three times 75 fliers,
but $35 is not three times $17.
16. a. R 5 25n 2 1 200n 1 2500 b. $4500
c. $30; According to the function, the maximum
amount of revenue is $4500. The maximum
amount of revenue is made when n is 20. This
means they can increase their price by $20 to
make their maximum amount of revenue. So, the
new selling price would be $30.
Quiz 1
1.
y
3
1
21
21
23
1
23
The domain is x}
≥ 2. The range is y ≥ 0. The
graph of y 5 Ï x 2 2 is a horizontal translation
}
(of 2 units to the right) of the graph of y 5 Ï x .
9. C 10. B 11. A 12. C 13. D 14. 15
15. a. quadratic function; y 5 3x2 b. no; Sample
answer: After 10 weeks, the frog count is 300,
which is not twice the count after five weeks.
16. a. R 5 220n2 1 150n 1 2480 b. $2761.25
c. $11.75; The maximum occurs when n 5 3.75
and $8 1 $3.75 5 $11.75.
SAT/ACT Chapter Test
1. C 2. A 3. D 4. B 5. D 6. A 7. B 8. A
9. C 10. E 11. A 12. E 13. B 14. D
15. 21 16. 12 17. 1
}
3
}
3}
3}
3}
Ï3 1 Ï211
10. }} 11. 23Ï 2 12. 81 13. 1
3
14. 1, 3 15. 31
Quiz 2
}
}
4. c 5 6Ï 2 5. x 5 3, 3x 5 9
6. x 5 8, x 2 2 5 6, x 1 2 5 10 7. 4 8. 6
9. (7, 3) 10. (5, 25)
Chapter Test A
; domain: x ≥ 0; range:
y ≥ 0; The graph is a
vertical stretch }of the
graph of y 5 Ï x .
y
7
5
3
1
1
2.
3
Height (feet)
5
7 x
; domain: x ≥ 1; range:
y ≥ 0; The graph is a shift
1 unit to the right
of the
}
graph of y 5 Ï x .
y
7
5
3
1
1
0
}
1. c 5 17 2. a 5 2Ï 10 3. b 5 5Ï3
1. Complete answers should include: an
(0.78125, 13.765625)
}
3
3
2Ï3 k
7. }
8. 9 9. 12Ï x2 2 3Ï 2x2
g
1.
explanation that the differences in successive
y-values will be equal for linear functions; an
explanation that the ratios in successive y-values
will be equal for exponential functions; an
explanation that the differences in successive first
differences in y-values will be equal for quadratic
functions; an example of an equation for each type
of function.
2. a. h 5 216t 2 1 25t 1 4
}
x
}
Performance Assessment
h
14
12
10
8
6
4
2
}
5Ï 5
2. 3Ï 10 3. 6y 4. 3Ï 3 2 1 5. 2Ï 5 6. }
2
1. D 2. D 3. B 4. B 5. A 6. B 7. D 8. A
b.
x
3
}
Standardized Test C
Copyright © Holt McDougal. All rights reserved.
ANSWERS
1. B 2. B 3. D 4. C 5. D 6. B 7. A 8. B
9. D 10. C 11. A 12. C 13. B 14. 4
3
15. a. Linear function; y 5 }x 1 8 b. no,
25
3
5
7 x
}
}
}
3
4Ï 7
4. } 5. } 6. 9x3y Ï y 7. 24Ï 5
7
4
}
3. 4Ï 2
}
}
8. 10Ï 2 2 2 9. 10Ï 3 cm 10. 12 cm2 11. 4x
3}
Ï7
12. 2 1 Ï 2y 13. } 14. 3 15. 3 16. 16
4
3
0
0.4
0.8
1.2
Time (seconds)
1.6
t
}
}
17. 16ºC 18. 17 19. Ï 115 20. yes 21. no
Algebra 1
Assessment Book
A27
Chapter 11, continued
}
}
}
23. 5Ï 2 24. Ï 85 25. (9, 4)
22. 31.6 m
}
26. (24, 1) 27. (0, 22) 28. 4Ï 2 units
ANSWERS
29. 100.5 square units
Chapter Test B
1.
; domain: x ≥ 0; range:
y ≥ 23; The graph is a
x
vertical shrink and a shift
3 units down from
the
}
graph of y 5 Ï x .
y
1
1
21
21
3
5
23
25
y
2.
1
1
3
5
23
; domain: x ≥ 22; range:
y ≤ 0; The graph is a
x reflection in the x-axis and
a shift 2 units to the} left of
the graph of y 5 Ï x .
}
3}
πÏ2L
Ï2 π
11. t 5 } 12. } sec 13. 7Ï t 2 3
4
2
3}
6aÏ25
3}
3}
14. } 15. Ï 900 2 Ï 30 1 1 16. 8 17. 9
5
18. 0, 3 19. 20 people 20. 10x 21. about 14
people 22. 3.1, 8.1 23. 36.3, 106.9, 112.9
}
24. 642.9 in.2 25. (210, 215); 6Ï 13
}
1
26. (1, 3); 2Ï 2 27. 22 28. }
2
1
1
29. y 5 } x 2 }
2
2
Standardized Test A
1. A 2. D 3. B 4. C 5. A 6. A 7. C 8. B
9. C 10. D 11. D 12. B 13. A 14. C
15. A 16. B 17. C 18. D 19. 19
20. Train station; It is closest to the midpoint of
}
}
3. 6a 2Ï 2a 4. 14Ï 2 5. 29Ï 3
}
2p
}
2Ï3b
6. } 7. }3 8. 44 1 16Ï 7
b
q
}
}
3}
Ïh
5Ï 2
9. t 5 } 10. } sec 11. 2Ï 4 2 4
4
2
3}
3}
Ï36a
12. } 13. 22Ï 5x 14. no solution
3
15. 2 16. 21, 3 17. 0.7 m 18. 4 in., 2 in.
7
25
5
19. } ft, } ft 20. 3, }
6
6
2
1
2
}
5
21. 2}, 21
2
1
}
2
}
22. (6, 22) 23. 2Ï 2 , 2Ï 10 , 4Ï 2 24. yes
25. 2 or 10 26. 3 or 21 27. Tower A
Chapter Test C
; domain: x ≥ 21; range:
y ≥ 24; The graph is a
21
1
3
5
x vertical stretch, shift 1
21
unit to the left and 4 units
down }
from the graph of
y 5 Ïx .
y
2.
; domain: x ≥ 4; range:
6
y ≤ 2; The graph is a
2
reflection in the x-axis, a
22
2
6
10
x
22
vertical shrink, and a shift
4 units to the right and 2
26
units up from the graph of
}
y 5 Ïx .
}
3. h ≥ 210; v ≥ 0 4. about 22 cm 5. 9Ï 10
y
1.
1
2 5Ï
6. 6a b
}
Ï 5x
2a 7. 22Ï2 8. }
xy
}
}
}
}
15 2 3Ï5
9. 15x 2 22yÏ x 1 8y 2 10. }
20
A28
Algebra 1
Assessment Book
(7, 4). It is 1 unit away and the distances to the
other locations are greater than 1.
21. a. 32 ft; 24(16) 5 384 and 384 4 12 5 32
}
b. 40 ft; Ï 242 1 322 5 40 c. 11 ft more
Standardized Test B
1. C 2. D 3. A 4. B 5. B 6. A 7. C 8. D
9. D 10. B 11. A 12. C 13. B 14. C
15. A 16. D 17. A 18. C 19. 11
20. You would meet at the fountain. The midpoint
between the two locations is the point (4, 3). The
two locations closest to this point are the school
and the fountain. You can use either the distance
formula or your knowledge of right triangles to
determine that the fountain is closest.
21. a. Twenty-four steps are needed. The height
from floor to ceiling is 12 feet or 144 inches. If the
riser of each step is 6 inches, you would need 24
steps to reach the second floor. b. 24 ft; Each step
has a tread of 12 inches and there are 24 steps, so
the linear distance would be 288 inches or 24 feet.
c. A 322 inch rail is needed.
Standardized Test C
1. B 2. A 3. A 4. D 5. C 6. B 7. C 8. B
9. A 10. D 11. D 12. B 13. C 14. A
15. D 16. D 17. B 18. C 19. 21
20. Stadium; It is closest to the midpoint of
}
(20.5, 0.5). It is Ï6.5 , units away and the
distances to the other locations are greater
than that.
Copyright © Holt McDougal. All rights reserved.
}
Chapter 11, continued
21. a. 39 steps; 26 ft 5 312 in. and 312 4 8 5 39
b. 39 ft; Each step is one-foot long and there are
39 steps. c. 46.9 ft; 9.5 ft more
8.
; The domain and range
are all nonzero real
numbers.
y
1
23
x
1
21
21
1. D 2. B 3. C 4. E 5. D 6. B 7. B 8. D
ANSWERS
SAT/ACT Chapter Test
23
9. A 10. C 11. E 12. A 13. D 14. 9
15. 117 yd 16. 6
Performance Assessment
1. Complete answers should include: an
3
Time (seconds)
explanation of each property of radicals; an
example illustrating why there is no sum property
of radicals; an example illustrating why there is no
difference property of radicals.
2. a.
; Domain: 0 ≤ h ≤ 36
t
1
23
21
1
1.5
Quiz 2
1.0
1. x 2 3 2. x 1 9
0.5
0
y
3.
4.
10
y
10
0 6 12 18 24 30 36 h
Height (feet)
6
b. (0, 1.5), (36, 0); 1.5 seconds after the object is
Copyright © Holt McDougal. All rights reserved.
; The domain is all real
numbers except
x 5 21. The range is
x
all real numbers except
y 5 0.
y
9.
6
2
2
dropped it has a height of 0 feet; the object is at a
height of 36 feet right before it is released.
c. 36.03 units d. 32 ft e. 20 ft f. 1.06 sec
g. Less time; The object is in the air for a total of
1.5 seconds, and it takes just over 1 second to fall
the first 18 feet, which means it takes less than
0.5 second to fall the second 18 feet.
27
5. x2 1 7x 2 4 6. x2 2 5x 1 4 1 }
x+5
1
7. }; The excluded values are 21 and 1.
x11
Chapter 12
x23
8. }; The excluded value is 0.
2
Quiz 1
12x3
9. }; The excluded value is 0.
5
1. direct variation 2. inverse variation
35 35
224
3. neither 4. y 5 }; } 5. y 5 }; 212
x 2
x
7 7
6. y 5 }; }
x 2
7.
; The domain and range
are all nonzero real
numbers.
y
6
2
22
22
22
2
10
x
210
2
26
26
6 x
26
x25
10. }; The excluded values are 23 and 3.
x23
Quiz 3
2(x 2 7)
7
4
1. } 2. } 3. } 4. 2x(x 2 5)
15x
x
x24
8x 1 7
2x
1
9
5. } 6. }}
(x 1 8)(x 1 1)
x26
7. 0 and 5 8. 0 and 2 9. 12 h
2
6
x
Chapter Test A
1. neither 2. direct variation
60
3. inverse variation 4. t 5 }
n
5. 15 days
Algebra 1
Assessment Book
A29
Chapter 12, continued
1
ANSWERS
23
1
21
3
; domain: all real numbers
except 0; range: all real
numbers except 2; The
x
graph is a vertical shift
(of 2 units up) of the graph
1
of y 5 }x .
; domain: all real numbers
except 1; range: all real
1
numbers except 0; The
3 x
graph is a horizontal
translation (of 1 unit to the
23
1
right) of the graph of y 5 }x .
8. x 5 0; y 5 0 9. x 5 22; y 5 7
10. x 5 0; y 5 22 11. 3x 2 2 5x 1 8
28
12. x 1 3 1 }
x18
7.
y
3
13. The velocity increases, but never reaches
200 feet per second. 14. x 1 7
27x 4
2x 1 5
13. }; 0 14. 22; 9 15. }; 24, 3
5
x14
2(7x 1 8)
16. }
3x(x 1 2)
2900
17. y 5 } 1 100;
x 1 10
y
90
80
70
60
50
40
30
20
10
0
0 10 20 30 40 50 60 70 80 90 x
Salt (grams)
17
2x 3
15. x 1 9 1 } 16. x2 1 3x – 5 17. }; 0
x22
3
1
18. not possible; 27 19. }; 23, 5
x13
3(x 1 4)
2x
2
20. } 21. } 22. } 23. 3x
3x
9
x(x 1 12)
1
4x
2x 2
x21
18. } 19. } 20. 2} 21. }
2
3
3
2
860,000 1 1,800,000x
22. Y 5 }};
1000 1 24x
107,500 1 225,000x
23. 14,030 yd 24. 2
Y 5 }}
125 1 3x
x15
5x
29
24. } 25. } 26. }
x14
4x 1 1
12x
3 2 2x
x 2 1 3x 1 3
}}
25. }
26.
(x 2 1)(x 1 1)
9x 2
600r 2 3000
3x 2 1 20x 2 8
27. }} 28. t 5 } 29. 11 h
r(r 2 10)
(x 2 4)(x 1 6)
Chapter Test C
Chapter Test B
48
100
1. no 2. yes; y 5 } 3. V 5 } 4. 10
P
x
5.
; domain: all real numbers
except 23; range: all real
numbers except 0; The
x
graph is a vertical stretch
and horizontal shift (of 3
units to the left) of the graph
1
of y 5 }x .
y
3
1
21
21
23
6.
y
3
1
23
21
21
1
3
4
7. y 5 } 1 6
x25
A30
28
14
9. x 1 2 1 } 10. 3x 1 3 1 }
x11
2x 2 3
11
11. x2 2 2x 1 3 12. x2 1 3x 2 6 1 }
x12
Algebra 1
Assessment Book
; domain: all real numbers
except 0; range: all real
numbers except 2; The
graph is a reflection in the
x x-axis and a vertical shift
(of 2 units up) of the graph
1
of y 5 }x .
2
8. y 5 } 2 3
x11
1. direct variation 2. neither
3. inverse variation
11,250
1200
4. T 5 } 5. 500 sec 6. f 5 }
n15
s
7. domain: all real numbers except 25; range:
all real numbers except 0; The graph is a vertical
stretch and vertical shift (of 5 units to the left)
1
of the graph of y 5 }x .
23
5
8. y 5 } 1 2 9. y 5 } 2 4
x14
2x 2 1
16x 2 19
33
10. 4x 2 6 1 }
11. 2x 1 9 1 }
2
3x
21
x 24
2
2
12. 3x 2 2x 1 7 13. x 2 4x 1 16
14.
y
10
6
26
2
x
Copyright © Holt McDougal. All rights reserved.
y
3
Percent of salt
6.
Chapter 12, continued
}
3x 2 4
6
7 6 Ï 114
23. } 24. }} 25. }
5
x21
(x 1 3)(x 2 1)
4(9r 2 10)
26. 23 27. t 5 } 28. 8 mi/h
r(r 2 2)
substitute $2.25 for C in the equation, you would
get a negative answer for p. It is not possible to
sell a negative number of packages.
Standardized Test C
1. C 2. A 3. A 4. B 5. B 6. C 7. D
8. A 9. D 10. C 11. D 12. D 13. C
14. 27
345
1
15. a. t 5 }
;
r 1}
2
ANSWERS
31x
15. not possible; 211 16. 2}; 24, 3
x14
2(x 1 2)
3
5
17. }; 23, 0, 1 18. } 19. }
x13
2x
12
2(x 2 7)
3(2x 2 1)
x13
20. 2} 21. } 22. }}
x15
x24
x(x 2 4)(x 2 3)
t
Standardized Test A
1. D 2. D 3. B 4. A 5. C 6. A 7. C 8. B
9. A 10. D 11. D 12. 22
15
t
13. a. t 5 }
r 1 0.5
40
r
5
b. The graph stretches vertically and shifts
1
10 units to the right and }6 unit up. The vertical
2
2
r
b. The graph shifts 5 units to the left and 0.5 unit
down. The shift of 5 units is due to the fact that
the average speed increases by 5 miles per hour.
The shift of 0.5 unit down is due to the fact that
you did not take a break, so the time decreases by
one-half hour.
80 1 2t
14. a. C 5 }
b. $2.80 c. 40 tins
t
1
of }6 unit up is due to the fact that the total break
time increases by one-sixth of an hour.
150 1 2.5t
150 1 2.5t
16. a. C 5 }
b. 3.75 5 }
;
t
t
120 tins c. 600 tins d. no; Substituting 2 for C
makes t negative which does not make sense for
the situation.
SAT/ACT Chapter Test
1. D 2. D 3. B 4. B 5. C 6. D 7. A 8. B
9. C 10. A 11. D 12. 25
t
300
13. a. t 5 } 1 0.75;
r
1. D 2. E 3. A 4. C 5. A 6. C 7. E 8. D
9. A 10. D 11. B 12. C 13. E 14. 4
15. 2.6 h 16. 2
Performance Assessment
1. Complete answers should include: work
10
10
r
b. The graph shifts 5 units to the right and 0.25
unit down. The shift of 5 units to the right is due
to the fact that the average speed is decreased by
5 miles per hour. The shift of 0.25 unit down is
the difference between the 0.75 hour and 0.5 hour
lunch breaks.
350 1 3p
350 1 3p
14. a. C 5 } b. } 5 4; You would
p
p
need to sell 350 packages to reduce the cost
of each package to $4. c. No; If you were to
showing each operation being carried out;
explanations of the steps being used to carry out
each operation.
400 1 4.75x
2. a. C 5 }
x
b.
C
Average Cost
per person
Copyright © Holt McDougal. All rights reserved.
Standardized Test B
stretch is due to the increase in the distance. The
shift of 10 units is due to the fact that the average
speed decreases by 10 miles per hour. The shift
1200
1000
800
600
400
200
0
0 2 4 6 8 10 12 x
Number of people
c. $12.75 d. over 320 people
Algebra 1
Assessment Book
A31
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