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 unknown variable.

Front

If 36 baseball cards cost $18, how much does each card cost?

Back

Each baseball card costs $0.50.

Front

If a proportion is set up as a/b = c/d, what does cross-multiplication involve?

Back

Cross-multiplication involves multiplying a by d and b by c, resulting in ad = bc.

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 value of x in the proportion 5/x = 15/3?

Back

x = 1.

Front

If 4 apples cost $2, how much do 10 apples cost?

Back

10 apples cost $5.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.

Front

How can you check if two ratios form a proportion?

Back

You can check by cross-multiplying and seeing if the products are equal.

Front

What is the solution to the proportion 3/4 = x/16?

Back

x = 12.