4.1 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, you can use cross-multiplication, where you multiply the numerator of one ratio by the denominator of the other ratio.

Front

What is cross-multiplication?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one fraction by the denominator of the other and setting the two products equal.

Front

If a/b = c/d, what is the cross-multiplication equation?

Back

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

Front

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities.

Front

Solve the proportion: 3/4 = x/16

Back

x = 12.

Front

Solve the proportion: 5/10 = x/20

Back

x = 10.

Front

What is the first step in solving a proportion?

Back

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

Front

If 2/3 = x/9, what is the value of x?

Back

x = 6.

Front

What is the relationship between the means and extremes in a proportion?

Back

In a proportion a/b = c/d, the means are b and c, and the extremes are a and d.