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11/20 Review Guide: Proportional Reasoning and Complex Fractions

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Math 7 Review - Proportions, Unit Rates, and Complex Fractions.

Directions: Show work in the show work boxes. For word problems use CUBES, write the proportion, and write a sentence.
Question 1
1.

Solve the proportion.

Question 2
2.

Solve the proportion.

Question 3
3.

Solve the proportion.

Question 4
4.

Solve the proportion.

Question 5
5.

Solve the proportion.

Question 6
6.

Use CUBES. Write a proportion that could be used to solve for unknown. Then solve and write a sentence.

A bottle of fever reducer medicine says to give 3 mL for every pound of body weight. How much would you give a 28 pound child?

Question 7
7.

Use CUBES. Write a proportion that could be used to solve for unknown. Then solve and write a sentence.

Beth was planing a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many Tala would she get if she exchanged $6?

Question 8
8.

Use CUBES. Write a proportion that could be used to solve for unknown. Then solve and write a sentence.

A company's quality control department found an average of 5 defective models for every 1000 models that were checked. If the company produced 60,000 models in a year, how many of them could they expect to be defective?

Question 9
9.

Use CUBES. Write a proportion that could be used to solve for unknown. Then solve and write a sentence.

Jill paid $119.80 for 4 shirts. If each of the shirts cost the same, what is the cost for 1 shirt?

Question 10
10.

Use CUBES. Write a proportion that could be used to solve for unknown. Then solve and write a sentence.

The Anderson family is preparing for a family reunion. They think they will need 22 juice boxes for every 6 children who attend. How many juice boxes will they need if they are expecting 14 children?

Question 11
11.

Use CUBES. Write a proportion that could be used to solve for unknown. Then solve and write a sentence.

Renae went on a walk. She walked 2/3 of a mile in 2/9 of an hour. What was her speed in miles per hour?

Question 12
12.

Use CUBES. Write a proportion that could be used to solve for unknown. Then solve and write a sentence.

An airplane flew 8 1/2 miles in 1/3 of a minute. What is the unit rate in miles per minute?

Question 13
13.

Use CUBES. Write a proportion that could be used to solve for unknown. Then solve and write a sentence.

Josiah can jog 1 1/3 miles in 1/4 hour. Find his average speed in miles per hour.

Question 14
14.

Use CUBES. Write a proportion that could be used to solve for unknown. Then solve and write a sentence.

Marcus has a bag of cat food that contains 22 1/2 cups. If he feeds his cats a total of 3/4 cups of food per day, how many days will the bag last?

Question 15
15.

Use CUBES. Write a proportion that could be used to solve for unknown. Then solve and write a sentence.

Better Buy: Granola bars come in packages of 3 and packages of 16.
The 3-bar pack costs $3.42, what would it cost for 1 granola bar?
The 16-bar pack costs $16.32, what would it cost for 1 granola bar?

Based on the answers above, is it better to buy a 3 pack or a 16 pack of granola bars?