Practice (NOT GRADED): Unit Rates, Proportions, Direct Variation

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 a unit rate?

Back

To calculate a unit rate, divide the quantity of one item by the number of units of another item. For example, if 10 apples cost $5, the unit rate is $5/10 apples = $0.50 per apple.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set the products equal to each other. For example, if a/b = c/d, then ad = bc.

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is a non-zero constant.

Front

How can you identify direct variation from a table of values?

Back

If the ratio of y to x is constant for all pairs of values in the table, then y varies directly with x.

Front

Back

Front

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

Back

Justin can type 102 words per minute.

Front

What is the unit rate of one diaper if a box of 35 diapers costs $6.99?

Back

The unit rate is $0.20 per diaper.

Front

How do you find the unit rate from a table?

Back

To find the unit rate from a table, divide the total amount by the total number of units for each row to find the rate per unit.