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

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

Back

The cross-multiplication method states that a*d = b*c.

Front

Solve for x: 2/x = 4/8

Back

x = 4.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

Solve: 3/4 = x/16

Back

x = 12.

Front

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

Back

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

Front

If 1/2 = x/8, what is x?

Back

x = 4.

Front

What is the value of x in the proportion 6/x = 3/9?

Back

x = 18.

Front

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

Back

You can substitute your solution back into the original proportion to see if both sides are equal.