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, you can cross-multiply the terms and then solve for the variable.

Front

What does cross-multiplying mean?

Back

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

Front

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

Back

The cross-multiplication equation is ad = bc.

Front

What is the first step in solving the proportion 5/x = 10/2?

Back

The first step is to cross-multiply: 5 * 2 = 10 * x.

Front

Solve the proportion 3/4 = x/12. What is x?

Back

x = 9.

Front

What is the solution to the proportion 2/5 = x/15?

Back

x = 6.

Front

How can you check if your solution to a proportion is correct?

Back

You can check by substituting the value back into the original proportion to see if both sides are equal.

Front

What is the value of x in the proportion 4/x = 16/20?

Back

x = 5.

Front

If 7/x = 14/28, what is the value of x?

Back

x = 4.