7.3 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

What is the first step in solving the proportion 2/3 = x/12?

Back

The first step is to cross-multiply: 2 * 12 = 3 * x.

Front

What is the solution to the proportion 2/3 = x/12?

Back

x = 8.

Front

If Gracie has 24 cookies for 3 classes, how many cookies per class does she have?

Back

She has 8 cookies per class.

Front

If Gracie has 4 classes tomorrow, how many cookies does she need?

Back

She needs 32 cookies (8 cookies/class * 4 classes).

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship or proportion.

Front

Solve for x: 5/x = 15/3.

Back

x = 1.

Front

What is the value of k in the proportion 2/k = 10/5?

Back

k = 1.