Practice Test - Chapter 4
Solve each equation. Check your solution.
12. a – (–12) = 6
SOLUTION: Check:
13. 16 + t = –9
SOLUTION: Check:
14. g + (–18) = –36
SOLUTION: Check:
15. –b – 15 = –21
SOLUTION: Check:
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Practice Test - Chapter 4
15. –b – 15 = –21
SOLUTION: Check:
16. m + 3.75 = –4.15
SOLUTION: Check:
17. SOLUTION: Check:
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Practice Test - Chapter 4
17. SOLUTION: Check:
Solve each equation. Check your solution.
18. SOLUTION: Check:
19. –75t = 300
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Practice Test - Chapter 4
19. –75t = 300
SOLUTION: Check:
20. –8t = –72
SOLUTION: Check:
21. SOLUTION: Check:
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Practice Test - Chapter 4
22. SOLUTION: Check:
23. 0.4d = 3.6
SOLUTION: Check:
24. GENETICS Approximately one-seventh of the people in the United States are left-handed. The population of the
United States is about 300 million. Write and solve an equation to estimate how many people in the United States are
left-handed.
SOLUTION: Let l represent the number of left-handed people, and p represent the total population.
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Rounded to the nearest million, there are about 43 million left-handed people in the United States.
MEASUREMENT Use the table to write and solve an equation to find each quantity.
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Practice Test - Chapter 4
24. GENETICS Approximately one-seventh of the people in the United States are left-handed. The population of the
United States is about 300 million. Write and solve an equation to estimate how many people in the United States are
left-handed.
SOLUTION: Let l represent the number of left-handed people, and p represent the total population.
Rounded to the nearest million, there are about 43 million left-handed people in the United States.
MEASUREMENT Use the table to write and solve an equation to find each quantity.
25. the number of cups in 7 pints
SOLUTION: There are 2 cups in 1 pint, so dividing the number of cups by 2 gives the number of pints.
There are 14 cups in 7 pints.
26. the number of quarts in 16 pints
SOLUTION: In 1 quart there are 2 pints, so multiplying the number of quarts by 2 gives the number of pints.
There are 8 quarts in 16 pints.
27. the number of cups in 2 gallons
SOLUTION: Each gallon has 4 quarts, and each quart has 2 pints, and each pint has 2 cups. So, in 1 gallon there are 4 × 2 × 2 or 16 cups. Divide the number of cups by 16 to determine the number of gallons.
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Practice Test - Chapter 4
There are 8 quarts in 16 pints.
27. the number of cups in 2 gallons
SOLUTION: Each gallon has 4 quarts, and each quart has 2 pints, and each pint has 2 cups. So, in 1 gallon there are 4 × 2 × 2 or 16 cups. Divide the number of cups by 16 to determine the number of gallons.
There are 32 cups in 2 gallons.
Solve each equation. Check your solution.
28. 16 + 5w = 31
SOLUTION: Check:
29. 28 = 4g – 4
SOLUTION: Check:
30. 211 –
= 111
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30. 211 –
= 111
SOLUTION: Check:
31. 7.2j – 1.9 = 3.5
SOLUTION: Check:
32. TRAVEL Mr. Carter is renting a car from an agency that charges $20 per day plus $0.15 per mile. He has a
budget of $80 per day. Write and solve an equation to find the maximum number of miles he can drive each day.
SOLUTION: The total cost of renting a car is the sum of the daily fee and the product of the cost per mile and the number of
miles driven. Let m represent the number of miles driven. Because the daily fee is $20 per day and 15 cents per
mile, the total cost is 20 + 0.15m. Mr. Carter has $80 to spend, so set the expression equal to 80.
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Practice Test - Chapter 4
32. TRAVEL Mr. Carter is renting a car from an agency that charges $20 per day plus $0.15 per mile. He has a
budget of $80 per day. Write and solve an equation to find the maximum number of miles he can drive each day.
SOLUTION: The total cost of renting a car is the sum of the daily fee and the product of the cost per mile and the number of
miles driven. Let m represent the number of miles driven. Because the daily fee is $20 per day and 15 cents per
mile, the total cost is 20 + 0.15m. Mr. Carter has $80 to spend, so set the expression equal to 80.
With an $80 budget, Mr. Carter can drive a maximum of 400 miles per day.
33. MULTIPLE CHOICE Kenneth signed up to receive Internet service for $13 per month plus a $30 start-up fee.
Which equation could be used to find the number of months he can receive Internet service for $134?
F $134 + 30 = $13m
G $30 – $13m = $134
H $13 + 30m = $134
J $30 + $13m = $134
SOLUTION: The total cost of the Internet service is the sum of the start-up fee and the product of the monthly fee and the
number of months. Let m represent the number of months. Because the start-up fee is $30 and the monthly fee is
$13, the total cost is $30 + $13m. Set the expression equal to $134 to find the number of months of Internet service
he can receive for $134.
$30 + $13m = $134
Choice J is correct.
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