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Mastering Rates Foundations

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Mastering Rates Foundations

Choose the best answer, calculate unit rates, and explain your thinking. Include units in your answers.

Understand Rates

1.Which statement best describes a rate?

A comparison of two quantities measured in different units
A comparison of two quantities measured in the same unit
The sum of two quantities
A number with no units

2.A cyclist rides 84 miles in 4 hours. What is the cyclist's speed in miles per hour?

21 miles per hour
80 miles per hour
336 miles per hour
88 miles per hour

3.Select every choice that is a rate.

9 dollars for 3 notebooks
18 inches per second
27 marbles
5 pages per minute

4.Which operation helps find a unit rate from a rate such as 36 miles in 3 hours?

Divide the miles by the hours to find miles for 1 hour
Add the miles and hours
Multiply the miles by the hours
Subtract the hours from the miles

Calculate Unit Rates

5.A pack of 18 markers costs $9. What is the cost per marker? Show your calculation.

6.A baker uses 5 cups of oats to make 40 snack bars. How many snack bars are made per cup of oats? Show your calculation.

7.A van travels 280 miles using 14 gallons of gas. Find the unit rate in miles per gallon. Show your calculation.

8.A printer produces 96 pages in 8 minutes. What is its rate in pages per minute?

9.Match each rate to its unit rate.

36 stickers for 6 students
$28 for 4 movie tickets
45 miles in 3 hours
32 liters in 8 containers

B. 6 stickers per student
A. 7 dollars per movie ticket
C. 15 miles per hour
D. 4 liters per container

Explain and Apply

10.In your own words, explain what a unit rate tells you. Include an example.

11.Write a real-world sentence explaining what a speed of 36 miles per hour means.

12.A walking trail is 3 miles long, and Malik walks it in 60 minutes at a steady pace. How many miles does she walk in 20 minutes? Show how you used the unit rate.

13.A machine uses 240 calories of energy during 40 minutes of operation. At the same rate, how many calories of energy does it use in 60 minutes? Show your thinking.