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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Table of Contents

Digits, Grade 7, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Expressions, Equations, and Relationships Unit C: Measurement and Geometry Unit D: Proportionality English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties