Mid-Chapter 5 Review

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 two ratios and then solve for the unknown 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 \\frac{a}{b} = \\frac{c}{d}, what is the cross-multiplication equation?

Back

The cross-multiplication equation is a * d = b * c.

Front

What is the first step in solving the proportion \\frac{7}{x} = \\frac{2}{10}?

Back

The first step is to cross-multiply: 7 * 10 = 2 * x.

Front

What is the solution to the proportion \\frac{7}{x} = \\frac{2}{10}?

Back

The solution is x = 35.

Front

How do you simplify the ratio of peaches to apples if there are 10 apples and 15 peaches?

Back

The ratio is 15:10, which simplifies to 3:2.

Front

If there are 5 ice cream cones for every 3 brownies, how do you find the number of cones sold if 24 brownies were sold?

Back

Set up the proportion: 5/3 = x/24, then cross-multiply to find x.

Front

What is the simplified form of the ratio 30:20?

Back

The simplified form is 3:2.

Front

What is the relationship between ratios and proportions?

Back

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