Unit Rates Practice worksheet - Free Printable

Let's solve each problem step by step, showing the work and labeling answers with correct units.

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1) Paul ran 22 miles in 2.75 hours. What was his average rate per hour?

To find average rate (speed), divide distance by time:

$$
\text{Rate} = \frac{22 \text{ miles}}{2.75 \text{ hours}} = \frac{22}{2.75}
$$

Convert 2.75 to a fraction: $ 2.75 = \frac{11}{4} $

$$
\frac{22}{\frac{11}{4}} = 22 \times \frac{4}{11} = \frac{88}{11} = 8 \text{ miles per hour}
$$

✔ Answer: $ \boxed{8} $ miles per hour

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2) Mark bought 4 pounds of apples for $7.56. What was the cost per pound?

Divide total cost by number of pounds:

$$
\frac{7.56}{4} = 1.89
$$

✔ Answer: $ \boxed{1.89} $ dollars per pound

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3) Kelly purchased 6 equally-priced CDs for a total of $75.30. What is the cost per CD?

$$
\frac{75.30}{6} = 12.55
$$

✔ Answer: $ \boxed{12.55} $ dollars per CD

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4) Harry compared the prices of orange juice before deciding which container to buy. The 128-ounce container was $7.04 and the 64-ounce container was $3.20. Which container was the better deal?

Find unit price (cost per ounce):

- 128-ounce:
$$
\frac{7.04}{128} = 0.055 \text{ dollars per ounce} = 5.5 \text{ cents per ounce}
$$

- 64-ounce:
$$
\frac{3.20}{64} = 0.05 \text{ dollars per ounce} = 5 \text{ cents per ounce}
$$

The 64-ounce container has a lower cost per ounce.

✔ Answer: $ \boxed{\text{The 64-ounce container}} $ was the better deal

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5) Madeline’s family went on vacation. On Sunday, they drove for 7 hours and traveled 434 miles. What was their average speed?

$$
\text{Speed} = \frac{434 \text{ miles}}{7 \text{ hours}} = 62 \text{ miles per hour}
$$

✔ Answer: $ \boxed{62} $ miles per hour

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6) Find the unit rate for each item to determine which is the better deal:
$$
\frac{\$15.33}{7 \text{ pounds}} \quad \text{or} \quad \frac{\$12.90}{6 \text{ pounds}}
$$

Calculate each unit rate:

- First:
$$
\frac{15.33}{7} = 2.19 \text{ dollars per pound}
$$

- Second:
$$
\frac{12.90}{6} = 2.15 \text{ dollars per pound}
$$

Since $2.15 < 2.19$, the second option is cheaper per pound.

✔ Answer: $ \boxed{\frac{\$12.90}{6 \text{ pounds}}} $ is the better deal

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7) The cost of 4 shirts is $36. At this rate, what is the cost of 9 shirts?

First, find cost per shirt:

$$
\frac{36}{4} = 9 \text{ dollars per shirt}
$$

Then, cost of 9 shirts:

$$
9 \times 9 = 81
$$

✔ Answer: $ \boxed{81} $ dollars

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8) Cathy earns $32 in 4 hours and Beth earns $37.50 in 5 hours. Who earns more per hour?

- Cathy:
$$
\frac{32}{4} = 8 \text{ dollars per hour}
$$

- Beth:
$$
\frac{37.50}{5} = 7.50 \text{ dollars per hour}
$$

Cathy earns more per hour.

✔ Answer: $ \boxed{\text{Cathy}} $ earns more per hour

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9) In 3 batches of trail mix, there are 2 cups of peanuts. How many cups of peanuts are in 1 batch?

$$
\frac{2 \text{ cups}}{3 \text{ batches}} = \frac{2}{3} \text{ cups per batch}
$$

✔ Answer: $ \boxed{\frac{2}{3}} $ cups per batch

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✔ Final Answers:

1) 8 miles per hour
2) $1.89 per pound
3) $12.55 per CD
4) The 64-ounce container
5) 62 miles per hour
6) $12.90 / 6 pounds
7) $81
8) Cathy
9) $ \frac{2}{3} $ cups

Let me know if you'd like these written neatly for printing or submission!