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 to cross-multiply?

Back

Cross-multiplying involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If 36 baseball cards cost $18, what is the cost per card?

Back

The cost per card is $18 ÷ 36 = $0.50.

Front

If Hunter buys 36 baseball cards for $18, how many cards can Troy buy for $9?

Back

Troy can buy 18 baseball cards.

Front

What is the first step in solving for x in a proportion?

Back

The first step is to cross-multiply.

Front

Solve for x: 2/3 = x/9

Back

x = 6.

Front

What is the relationship between ratios and proportions?

Back

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

Front

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

Back

The result is ad = bc.

Front

What does it mean to round an answer?

Back

Rounding an answer means adjusting it to the nearest whole number or specified decimal place.