Solving Proportions (Algebra)

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 a/b = c/d, what is the cross-multiplication result?

Back

The result is ad = bc.

Front

What is the first step in solving the proportion 3/x = 6/12?

Back

Cross-multiply to get 3 * 12 = 6 * x.

Front

Solve for x: 4/x = 8/16.

Back

x = 2.

Front

What is the value of k in the proportion 5/k = 1/3?

Back

k = 15.

Front

If 2/5 = x/20, what is x?

Back

x = 8.

Front

What is the solution to the proportion 7/x = 14/28?

Back

x = 4.

Front

How do you check if two ratios are proportional?

Back

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