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 involve?

Back

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

Front

If 3/4 = x/16, what is x?

Back

x = 12.

Front

What is the first step in solving the proportion 5/10 = x/20?

Back

Cross-multiply to get 5 * 20 = 10 * x.

Front

If a recipe calls for 2 cups of flour for 3 servings, how much flour is needed for 9 servings?

Back

6 cups of flour.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions show that two ratios are equal.

Front

If 8/12 = x/18, how do you find x?

Back

Cross-multiply to get 8 * 18 = 12 * x, then solve for x.

Front

What is the value of x in the proportion 7/x = 14/28?

Back

x = 14.

Front

How can you check if two ratios form a proportion?

Back

You can check by cross-multiplying and seeing if the products are equal.