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

What does it mean if two ratios form a proportion?

Back

It means that the two ratios are equivalent, or that they represent the same relationship.

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 for x in a proportion?

Back

The first step is to set up the equation based on the given ratios.

Front

Solve the proportion: 2/3 = x/9

Back

x = 6.

Front

Solve the proportion: 4/x = 8/16

Back

x = 2.

Front

What is the value of x in the proportion: 5/x = 10/20?

Back

x = 10.

Front

Do the ratios 3:4 and 6:8 form a proportion?

Back

Yes, they form a proportion because 3/4 = 6/8.

Front

What is an example of a real-life proportion?

Back

A recipe that requires 2 cups of flour for every 3 cups of sugar is an example of a proportion.