Advanced MATH 7 Ratio and Proportions
HW - Review Sheet A
Name ____________________________________________
Date ____________
1. How is unit rate used in everyday life?
2. How can you determine if a relationship is proportional?
3. A 42-ounce bottle of shampoo costs $2.52. Find the unit price.
4. Does the following table represent a proportional relationship? Justify your answer.
x
y
3
10.5
4
14
6
21
7
24.5
8
6.4
12
9.6
5. Determine the constant of proportionality in the table below.
x
y
5
4
6
4.8
6. Find 120% of 84.
Application
7. Jeremy drove 54 miles in 45 minutes. If he drove at a constant rate, what is his speed in miles per hour?
8. Ms. Lovingood divided a bag of 36 chocolate candies between 2 students. The first student received 4 pieces of
candy for every 5 pieces that the second student received. How many candies did each student receive?
9. When ordering pizzas, Antonio’s Pizza Palace recommends 2 medium pizzas for every 3 adults. Write an equation
that could be used to determine the number of pizzas, p, that would be needed to serve a adults.
10. Earl received a 7.5% commission on his total amount of sales. If his commission was $123.00, what was Earl’s total
amount of sales?
quarts
11. The graph below shows the relationship between the number of quarts in x gallons.
gallons
Explain what the ordered pair (3, 12) represents.
12. There are 2 pitchers of iced tea. The iced tea in the first pitcher was made with 4 tea bags and 1.25 quarts of water.
The iced tea in the second pitcher was made with 5 tea bags and 2 quarts of water. Which pitcher has a higher
concentration of tea? Why?
13. Stereo systems at Jake’s Electronics are discounted 15%. If the tax rate is 6%, how much will a $375 stereo system
from Jake’s Electronics cost?
A.
$299.62
B.
$318.75
C.
$337.88
D.
$341.25
14. Chairs are being arranged in rows for an assembly in the school cafeteria. The same number of chairs is in each row.
If there are 304 chairs in 8 rows, write an equation that could be used to determine y, the total number of chairs in x
rows.
A. y  304 x
B. y  8 x
C. x  38y
D. y  38 x
15. The ratio of boys to girls at a school dance is 3:4. If 252 students attend the dance, how many are boys?
A. 84
B. 108
C. 144
D. 189
16. Your body burns 0.25 calories every 30 minutes that you are asleep for each pound that you weigh. How many
1
calories would a 165-pound boy burn if he slept for 7 hours?
2
A. 82.5
B. 309.375
C. 618.75
D. 1,237.5