Solving Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you determine if two ratios form a proportion?

Back

Two ratios form a proportion if the cross products are equal.

Front

What is the cross product of the ratios a/b and c/d?

Back

The cross product is ad and bc. If ad = bc, then a/b = c/d is a proportion.

Front

Solve the proportion: 3/4 = x/12

Back

x = 9.

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 cross-multiply the ratios.

Front

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

Back

x = 6.

Front

What does it mean if two ratios do not form a proportion?

Back

It means that the cross products are not equal.

Front

Solve the proportion: 7/x = 14/28

Back

x = 4.

Front

What is the relationship between equivalent fractions and proportions?

Back

Equivalent fractions represent the same value and can be expressed as proportions.