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 it mean to cross-multiply?

Back

Cross-multiplying means 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 5/10 = x/20?

Back

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

Front

What is the value of x in the proportion 4/x = 8/16?

Back

x = 2.

Front

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

Back

extremes.

Front

If a/b = c/d, what can we say about a, b, c, and d?

Back

The ratios a/b and c/d are equivalent.

Front

What is the relationship between equivalent fractions and proportions?

Back

Equivalent fractions represent the same value and can be used to form proportions.

Front

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

Back

x = 12.