Solving Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the variable.

Front

What does cross-multiplication mean?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If 2/3 = x/12, what is x?

Back

x = 8.

Front

What is the first step in solving the proportion 4/x = 2/8?

Back

Cross-multiply to get 4 * 8 = 2 * x.

Front

What is the value of x in the proportion 5/x = 15/3?

Back

x = 1.

Front

Fill in the blank: In a proportion, the product of the means equals the product of the ___.

Back

extremes.

Front

What is an example of a real-life proportion?

Back

If a recipe calls for 2 cups of flour for every 3 cups of sugar, that is a proportion.

Front

If 3/4 = x/16, how do you find x?

Back

Cross-multiply to get 3 * 16 = 4 * x, then solve for x.

Front

What is the relationship between ratios and proportions?

Back

Proportions are equations that show that two ratios are equivalent.