PROPORTIONAL RELATIONSHIPS MID-UNIT STUDY GUIDE

NAME:______

STUDY GUIDE IS DUE:TEST DATE IS:

MATH XL ASSIGNMENT NAME FOR BONUS:

Write the ratios in simplest form.

1. 2 feet:8 feet2. 16 dogs to 12 cats3. 35 girls:15boys

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Find the unit rate. (be sure to include the correct units)

4. 180 miles in 3 hours5. $4.80 for 6 cans6. 297 words in 5.5 minutes

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7. At 1 P.M., you have 24 megabytes of a movie. At 1:15 P.M., you have 96 megabytes. What is the download rate in megabytes per minute? (*Hint- first determine how many megabytes were downloaded in the time between 1 pm and 1:15 pm and consider how much time as passed)

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8. There are 45 males and 60 females performing in an orchestra. What is the ratio of males to all musicians? Write as a fraction in simplest form.

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9. Marketplace has 3 different packs of soda. 6 pack for $3.01, 12 pack for $5.98, and 24 pack for $13.65. Which pack offers the best deal?

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10. A pet store has 8 cats, 12 dogs, and 3 rabbits. The ratio 8:23 compares:

A. dogs to catsB. cats to dogsC. rabbits to cats D. cats to all animals

11. Which ratio is equal to 15:20?

A. 5 to 10B. 18:25C. 21 to 28D. 24:30

12. In a room, there are 9 boys and 12 girls. The ratio of girls to boys is:

A. 9 to 12B. 12 to 21 C. 12:9D. 21:9

For #13, answer all parts for the questions using the given information:

At a meeting, there were 30 Democrats and 20 Republicans.

Write each ratio as a fraction in lowest terms.

Part A: Democrats to Republicans______Part B: Republicans to all participants ______

For #14-15, choose the item that is the better buy

Problem # / Item A / Item B / What is the better buy? Item A or Item B
14. / 3 cans of tomato sauce for $1.49 / 5 cans of tomato sauce for $2.39
15. / 24 ounces of juice for $2.25 / 40 ounces of juice for $3.81
16. / 4.4 pounds of sugar for $2.35 / 10 pounds of sugar for $4.99
17. / 8 pieces of candy for $1.89 / 18 pieces of candy for $3.79

18. Tell whether the two rates form a proportion: 75 miles in 3 hours and 140 miles in 4 hours

19. True or False: The following ratios are proportional:

20. Multiple choice: You advance 3 levels in 15 minutes. Your friend advances 5 levels in 20 minutes.

A. You advance at a faster rate.

B. Your friend advances at a fast rate.

C. You and your friend advance at the same rate.

21. Find the unit rate based on the information in the table below.

22. Use the graph to answer the following questions.

22a. What does the point (4,24) represent?

22b. What is the constant of proportionality?

22c. If this continued for 18 seconds, how far would the sound travel?

Review objectives on test:

-Write, solve, and graph an inequality

-Simplify an expression with distributive property and like terms