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: 3/x = 6/12

Back

x = 6.

Front

Solve for x: 4/x = 8/16

Back

x = 2.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

If 5/10 = x/20, what is x?

Back

x = 10.

Front

Solve for k: 2/k = 4/8

Back

k = 4.

Front

What is the first step in solving the proportion 3/4 = x/12?

Back

Cross-multiply to get 3*12 = 4*x.

Front

If 7/x = 14/28, what is x?

Back

x = 4.