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

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 p: 3/4 = p/16

Back

p = 12.

Front

Solve for n: 5/n = 2/8

Back

n = 20.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

Solve for x: 7/x = 14/28

Back

x = 4.

Front

What is the first step in solving a proportion?

Back

Identify the two ratios that are being compared.

Front

If 2/3 = x/9, what is x?

Back

x = 6.

Front

What is the relationship between the means and extremes in a proportion?

Back

In a proportion, the product of the means equals the product of the extremes.