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 fraction.

Front

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

Back

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

Front

Solve the proportion: 3/4 = x/12

Back

x = 9.

Front

Solve the proportion: 5/10 = x/20

Back

x = 10.

Front

What does it mean if two ratios are equivalent?

Back

If two ratios are equivalent, it means they represent the same relationship between quantities.

Front

If 2/3 = x/9, what is x?

Back

x = 6.

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

Solve the proportion: 8/x = 4/2

Back

x = 4.