Grade 7 Unit 3 Ratios and Proportional Relationships Study Guide

Name ______Date ______Period _____

1. If ¼ of a gallon of paint covers ⅛ of a fence, how much paint is needed

for the entire fence?

2. If⅓ of a bag of cat food will feed of the cats Shawn owns, how many bags of cat food are needed to feed all of the cats?

3. Identify cost per magazine for the following table.

Number of
Magazines / Total Cost
6 / $36
5 / $30
4 / $24
1 / $6

4. Draw a sketch of a graph that shows a proportional relationship. How do

you know it is proportional?

5. Alison earns $625 a month plus 5% commission on all shoe sales. If she sells $4500 worth of shoes, how much will she earn for the month?

6. Two similar rectangles are drawn at a scale of 1:4. What is the area of the larger rectangle?

5in

7. The graph shows the price of football tickets at one school. What is the

unit rate?

8. The graph represents the cost of mints. Use the graph to write an equation for this relationship. Let y = the total cost and x = the number of packs of mints purchased.

9. What has to be true about a line graph that shows a proportional relationship?

It must be a ______that passes through the ______.

10. A model car is built to a scale of 2.5 in: 6 ft. If the model car is 15 inches long, find the length of the actual car.

11. At the museum, if a 20 ft tall dinosaur cast a shadow that is 48 feet long, then how long is the shadow that a 6 ft tall rhinoceros casts?

12. A jacket is marked down 30% off the original price. The original price was $45.50. What is the sales price of the jacket before tax?

13. Leslie borrowed $500 at 4% annual interest for 3 years. What is the amount of interest she will pay?

14. Jamie and Tom collect baseball cards. At the Kool Kard Shop, Jamie paid $45 for 7 rare baseball cards. At the Best Baseball Card Shop, Tom paid $32 for 5 rare baseball cards. Who made the better buy?

15. Dusty shoots 8 baskets in 28 seconds. At this rate, how long will it take him to score 36 baskets?

16. A paper mill uses 3.25 lbs of pulp to make 4 reams of paper. At this rate, how many reams will 6.5 lbs of pulp make?

17. Your family went to Carey Hilliard’s for dinner. Your total was $42.85. You want to leave a 20% tip (gratuity). What is the total amount, including tip that you will pay?

18. Graph the following points on the graph. (1,2) (2,4) (3, 9) (4, 12)

Does this graph illustrate a proportional relationship between the points?

Explain how you know.

19. A recipe calls for ⅔ cup of flour to make a dozen brownies. How many cups of flour are needed to make 3 dozen brownies?

20. Katie wants to buy a bracelet. She has found a bracelet with a regular price of $45 and a discount of 35%.

A)What is the sale price of the bracelet?

B)If the sales tax is 7% and Katie has $30 to spend, will she have enough to buy the bracelet?

C)If Katie has enough to buy the bracelet, how much money will she have left over? If not, how much more money does she need?