Rates Ratios and Proportions Practice

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if you earn $200 for 8 hours of work, the unit rate is $25 per hour.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total amount by the number of units. For example, if you earn $200 for 8 hours, the unit rate is $200 ÷ 8 = $25 per hour.

Front

If Tony bought 4 shirts for $36, what is the cost per shirt?

Back

The cost per shirt is $36 ÷ 4 = $9 per shirt.

Front

How do you find the total cost for a different number of items based on a unit rate?

Back

Multiply the unit cost by the number of items. For example, if a shirt costs $9, then 7 shirts would cost $9 × 7 = $63.

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 simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor. For example, the ratio 4:8 can be simplified to 1:2.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if 1/2 = 2/4, then these two ratios are in proportion.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide. For example, if a/b = c/d, then ad = bc.

Front

What is the formula for finding the number of students per class?

Back

To find the number of students per class, divide the total number of students by the number of classes. For example, 88 students in 4 classes means 88 ÷ 4 = 22 students per class.

Front

How do you compare two different deals?

Back

To compare two deals, calculate the unit price for each deal and see which one is lower. For example, compare the cost per candy bar in two different offers.