Chapter 4-7 review

Name:
Date:
Cumulative Practice
for Chapters 4 to 7
Find the missing term in each pair of equivalent ratios.
1. 7 : 15 ⴝ 63 :
: 13 ⴝ 48 : 104
2.
Write each ratio in simplest form.
3. 36 : 90
4. 56 : 91
5. 60 inches : 3 feet
6. 2 pounds : 24 ounces
Express each decimal as a percent.
7. 0.76
8. 1.09
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Express each fraction as a percent.
9. 13
20
10.
7
12
Express each percent as a decimal.
11. 9%
12. 150%
Express each percent as a fraction in simplest form.
13. 88%
14. 120%
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Name:
Date:
Find the quantity represented by each percent.
15. 45% of 96 quarts
16. 60% of 60 minutes
Evaluate each expression for the given value of the variable.
17. 9x 29 if x 6
19. 2(3x 6) 5x 4
if x 10
2
18. 7y 10 if y 4
20.
5y 4
10 4y 6
if y 5
3
3
Simplify each expression.
22. 7 8y 3 3y 5 6y
Expand each expression.
23. 4(6q 3)
24. 7(5 7y ) 3(y 1)
Factor each expression.
25. 12g 4g 4
86
26. 40 10h 9 4h
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21. 9w 8 6w 3 4w
Cumulative Practice for Chapters 4 to 7
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Date:
Write an algebraic expression for each of the following.
27. A number is 7 more than the product of 6 and p.
28. The total cost of 2 notebooks if 8 notebooks cost a total of y dollars.
29. Jacob has m nails and twice as many bolts as nails. He buys another 20 nails
and 30 bolts. Find the total number of nails and bolts Jacob has now.
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30. Anya has 2p trading cards. Ben has three times as many trading cards as
Anya. Colin has half as many trading cards as Ben. Find the total number
of trading cards they have altogether.
31.
Jon has y stickers. He uses 20 stickers and divides the remainder equally
between his two sisters. Find the number of stickers each sister receives.
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Solve. Show your work.
32. A car traveled a distance of 124 miles in 2.5 hours. Find the speed of
the car.
33. Wyatt swims 500 yards in 5 minutes and 15 seconds. What is his swimming
speed in yards per minute, to the nearest whole yard?
34. The table shows the rental fees for a concert hall.
First 2 hours
$180 per hour
Each additional hour
$115
35.
4
2
of Abel’s books are equal to of Bella’s books. What is the ratio
7
5
of Abel’s books to Bella’s books?
88
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What is the total rental fee if Mrs. Wu rents the concert hall for 5 hours?
Cumulative Practice for Chapters 4 to 7
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Date:
36. There are 84 students in the Glee Club. There are 12 more boys than girls.
What is the ratio of the number of girls to the number of boys?
37. The table shows how much money Jake spent last week.
Expense
Entertainment
Bus fare
School supplies
Food
Amount
$12
$5
$6
?
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Jake spent 40% of his money on entertainment and school supplies.
How much did he spend on food?
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38. Of the people at Sunrise School, 40% are female students, 5% are staff, and
the remaining people are male students. There are 270 more male students
than female students. How many people are at Sunrise School?
Solve. Draw a model to help you.
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39. At a cafeteria, 25% of the sandwiches for sale are chicken sandwiches.
The remaining sandwiches are tuna sandwiches and turkey sandwiches.
The ratio of tuna sandwiches to turkey sandwiches is 5 : 4. There are 152 more
tuna sandwiches than chicken sandwiches. How many sandwiches does the
cafeteria have for sale?
90
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