Unit Rate and Rates

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total quantity of one item by the total quantity of another item. For example, if you pay $15 for 6 gallons of gasoline, the unit rate is $15 ÷ 6 = $2.50 per gallon.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: using a colon (e.g., 2:3), as a fraction (e.g., 2/3), or in words (e.g., '2 to 3').

Front

What is the ratio of dogs to all pets if there are 2 dogs, 4 cats, and 5 hamsters?

Back

The ratio of dogs to all pets is 2:11.

Front

What is an equivalent ratio?

Back

Equivalent ratios are two or more ratios that express the same relationship between numbers. For example, 1:2 and 2:4 are equivalent ratios.

Front

How can you find an unknown value using equivalent ratios?

Back

You can set up a proportion using the known ratios and solve for the unknown value by cross-multiplying.

Front

What is the relationship between rates and ratios?

Back

Rates are a specific type of ratio that compares two quantities with different units, such as miles per hour or dollars per gallon.

Front

If there are 1500 students in 75 classrooms, what is the rate of students per classroom?

Back

The rate of students per classroom is 20 students to 1 classroom.

Front

What is the unit rate of $3.75 for 3 pounds of granola?

Back

The unit rate is $1.25 per pound.