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 isolate the variable.

Front

What is cross-multiplication?

Back

Cross-multiplication is a method used to solve proportions by 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

ad = bc.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship or value.

Front

How can you check if two ratios are in proportion?

Back

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

Front

What is the first step in solving for x in a proportion?

Back

Identify the two ratios and set them equal to each other.

Front

Solve for x: 2/x = 4/8

Back

x = 4.

Front

Solve for w: 3/w = 9/12

Back

w = 4.

Front

What is the value of x in the proportion 5/x = 15/9?

Back

x = 3.