Digits, Grade 7, Volume 1, Homework Helper

### 6-3: TEKS Practice

• 1. Harry is bundling magazines to recycle. He notices that 4 magazines weigh 3 eighths pound in all and that the magazines all weigh the same amount. What is the unit rate for pounds per magazine?

• 2. Leo reads 13 pages in 1 third hour.

• a. What is the unit rate for pages per hour?

• b. What is the unit rate for hours per page?

• 3. Write the rate fraction 1 seventh , inch , over 1 fourteenth . minute end fraction as a unit rate.

• 4.

• a. Write fraction 7 thirds , miles , over 4 ninths , hour end fraction as a unit rate.

• b. Describe a situation that would use this unit rate.

• 5. A bicyclist rides 1 fifth mile in 1 sixty fifth hour. Write this rate as a unit rate.

• 6. Yesterday, Grace drove 38 , and 1 half miles. She used 1 , and 1 fourth gallons of gasoline. What is the unit rate for miles per gallon?

• 7. You are running a fuel economy study. One of the cars you find is blue. It can travel 35 , and 1 half miles on 1 , and 1 fourth gallons of gasoline. Another car is red. It can travel 27 , and 1 fifth miles on 4 fifths gallon of gasoline.

• a. What is the unit rate for miles per gallon for the blue car?

• b. What is the unit rate for miles per gallon for the red car?

• c. Which car could travel the greater distance on 1 gallon of gasoline?

• 8. Writing A store sells two kinds of candles, scented and unscented. The scented candles burn 1 eighth inch in 1 fourth hour. The unscented candles burn 1 ninth inch in 1 third hour.

• a. What is the unit rate for inches burned per hour for the scented candles?

• b. What is the unit rate for inches burned per hour for the unscented candles?

• c. Which kind of candle burns more in an hour?

• d. Show how to find the unit rate of hours per inch for each kind of candle.

• e. Explain the meaning of this unit rate.

• 9. A box of cereal states that there are 90 calories in a 3 fourths -cup serving.

• a. What is the unit rate for calories per cup?

• b. How many calories are there in 4 cups of the cereal?

• 10. Reasoning Hannah is making muffins. The recipe calls for 2 thirds cup of milk to make 8 muffins.

• a. What is the unit rate for cups of milk per muffin?

• b. What is the unit rate for muffins per cup of milk?

• c. Show or describe at least two ways to find the unit rate for muffins per cup of milk.

• 11. Think About the Process There was a long rainstorm last week. In the first 4 hours, 2 thirds inch of rain fell. To find the unit rate for inches per hour, the first step is to write the rate as shown below.

fraction 2 thirds , inch , over 4 , hour end fraction

• a. What is the next step?

• A. Divide both terms by 4.

• B. Multiply both terms by 2 thirds .

• C. Divide both terms by 2 thirds .

• D. Multiply both terms by 4.

• b. What is the unit rate for inches per hour?

• c. What is the unit rate for hours per inch?

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