Download Chapter 1 Review

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Class:
Date:
lgebra 1 Chapter 1 Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. A rational number is
a. always
a real number.
b. sometimes
c. never
2. Name the set(s) of numbers to which 1.68 belongs.
a. rational numbers
b. natural numbers, whole numbers, integers, rational numbers
C. rational numbers, irrational numbers
d. none of the above
3. Which of the scatter plots shows a positive correlation?
a.
c.
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5
•
a
•
4
•
3
•
2
• •
•
b.
d.
2
3
4
=WM
MINIM
MI MIN
ID: A
Name:
ID: A
Short Answer
Write an algebraic expression for the phrase.
4. the sum of b and 11
5. the product of g and 4
6. 4 times the sum of q and p
Define a variable and write an expression for the phrase.
7. the quotient of 6 times a number and 16
8. 4 minus a number
9. The total cost to rent a row boat is $18 times the number of hours the boat is used. Write an equation to
model this situation if c = total cost and h = number of hours.
10. What equation models the data in the table if d = number of days and c = cost?
11. An equilateral triangle has three sides of equal length. What is the equation for the perimeter of an equilateral
triangle if P = perimeter and s = length of a side?
12. Evaluate u xy, for u = 18, x = 10, and y = 8.
13. A pair of shoes costs $52.99 and the state sales tax is 8%. Use the formula C =p + rp to find the total cost of
the shoes, where C is the total cost, p is the price, and r is the sales tax rate.
14. Evaluate the expression (ab)h for a = 4 and b = 3.
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15. You can use the formula C = — (F — 32) to convert temperature in degrees Fahrenheit, F, to temperature in
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degrees Celsius, C. What is 62°F in degrees Celsius? Round your answer to the nearest tenth.
Simplify the expression.
16. 3[(15-3) +4]
17. 4(20 + 12) + (4 — 3)
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ID: A
18. 3 3 .32+12÷4
19. 13
— 42
Bh
20. Evaluate the formula V =— for B = 9 in. 2 and h = 32 in.
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a
21. Write the number 2.4 in the o —, using ntegers,
i
to show that it is a rational number.
22. Name the set(s) of numbers to which —5 belongs.
23. Order the numbers from least to greatest.
39 19 1
3-3— 3 —
40' 20' 2
1 55
24. Write ='—
' = in order fro least to greatest.
6 36
25. 1-2.81
26. Over the first five years of owning her car, Gina drove about 12,700 miles the first year, 15,478 miles the
second year, 12,675 the third year, 11,850 the fourth year, and 13,075 the fifth year.
a. Find the mean, median, and mode of this data.
b. Explain which measure of central tendency will best predict how many miles Gina will drive in the sixth
year.
27. Angela's average for six math tests is 87. On her first four tests she had scores of 93, 87, 82, and 86. On her
last test, she scored 4 points lower than she did on her fifth test. What scores did Angela receive on her fifth
and sixth tests?
28. Your math teacher allows you to choose the most favorable measure of central tendency of your test scores to
determine your grade for the term. On six tests you earn scores of 89, 81, 85, 82, 89, and 89. What is your
grade to the nearest whole number, and which measure of central tendency should you choose'?
Write and solve an equation to find the value of the variable.
29. 104, 137, 154, 131, x; mean = 130
30. 5.2, 8.3, 8.5, 7.7, 7.8, y; mean = 7.1
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3
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31. A carpenter cut four lengths of wood. The lengths were 36— in., 36- in., 37- in., and z in. If the mean of
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2
5
the lengths is 36-8 in., what as the length of the fourth piece of wood the carpenter cut?
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ID: A
Find the range.
32. 3 —9 7 —1 5 —4 2
33. 4.7 6.3 5.4 3.2 4.9
34. Find the mean and range.
18 23 10 39 22 17 16 15
35. Make a stem-and-leaf plot for the following set of data.
1.1, 1.3, 1.8, 2.2, 2.6, 2.8, 3.1, 3.8
36. Determine whether the following statement is sometimes, always, or never true.
If two sets of data have the same range and the same mean then they have the same mode.
Write a function rule for each table.
37.
I
Hours Worked
2
4
6
8
Pay
$15.00
$30.00
$45.00
$60.00
38.
39. The cost of playing pool increases with the amount of time using the table. Identify the independent and
dependent quantity in the situation.
40. a. Write an equation to show how the amount of money in a jar of nickels is related to the number of nickels
in the jar.
b. If the jar contains 40 nickels, how much money is this?
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ID: A
Name:
41. The population of an endangered animal species has been increasing. Make a scatter plot using the data given
in the table.
Year
Population
230
670
620
840
1400
1580
2
3
4
5
Pop.
2000
MMININE
11111===== 1
1600 MIIIIIM=1 -•=1M1111
11111===
-MINII
1=1
===
1MMIMI
1400
==I=1
=
====
=
1200
=====
=1
1800
1000
800
600
400
=====
11111MMIIIIM
IM111111=
=11•111=111111
IM1=====M111
1=======
=MIN=
200
INIIII=
11111•= 1ME111
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Year
42. Bob and Nancy recorded their last ten rounds of golf scores in the ste -and-leaf plot below. Use measu es of
central tendency to justify your answers.
a. Who is the better golfer? (A player with a lower score beats a player with a higher score.)
b. Is one golfer more consistent than the other? Explain.
Nancy Stem
987
7
86 552
8
10
9
Bob
59
333 89
037
7 15 = 75
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ID: A
43. The French club is holding a car wash fundraiser. They are going to charge $10 per car, and expect between
50 and 75 cars. Identify the independent and dependent quantity in the situation, and find reasonable domain
and range values.
Other
44. Is the statement below true or false? If the statement is false, give a counterexample.
All real numbers are rational.
45. Is the following statement true or false for all values of a and b? If false, give a counterexample.
+bI > IbI
46. Explain why this statement is always tru .
If x i s an odd integer, then the median of x, x + 2, x + 6, and x + 10 is an odd number.
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