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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
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
23
x
21
1
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
21
y
1
21
1
3
23
x
21
1
3
x
1
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
21
21
1
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