Rates & Unit Rates Worksheet

Free printable and online worksheets to help Grade 7 students review how to calculate rates and unit rates. How to solve word problems that involves ratios, rates and unit rates.

Rates & Unit Rates

Rate
A rate is a ratio that compares two quantities of different units. It describes how one quantity changes in relation to another. Rates are often used to describe speed, price, density, and other measures that involve two different units.

Example of a Rate:
Speed: If a car travels 150 miles in 3 hours, the rate is 150 miles per 3 hours. Price: If 5 pounds of apples cost $10, the rate is $10 per 5 pounds.

Unit Rate
A unit rate is a rate in which the second quantity (denominator) is one unit. It expresses how much of one quantity exists for a single unit of the other quantity. Unit rates are useful for making comparisons and are often used in everyday contexts like shopping and travel.

Example of a Unit Rate:
Speed: If a car travels 150 miles in 3 hours, the unit rate is 150 miles/3 hours = 50 miles per hour
Price: If 5 pounds of apples cost $10, the unit rate is 10 dollars/5 pounds = 2 dollars per pound

How to Calculate a Unit Rate Identify the Rate:

Determine the quantities and their units. Example: 150 miles in 3 hours. Divide the First Quantity by the Second Quantity:

Key Points:
A rate can have two unit rates depending on what you choose as your “one unit” in the denominator.
Unit rates are helpful for standardizing comparisons. For instance, if you compare the price per unit weight of different brands of cereal, you can easily see which one offers the better value.

Have a look at this video if you need to review how to calculate the unit rate.

• Rates and Unit Rates

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Unit Rates Worksheet #1
Unit Rates Worksheet #2
Unit Rates Worksheet #3

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Rates & Unit Rates

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