Solving Proportions (Algebra)

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 isolate the variable.

Front

What is cross-multiplication?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

Front

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

Back

The result is ad = bc.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

Solve the proportion: 3/4 = x/12.

Back

x = 9.

Front

Solve the proportion: 5/x = 10/20.

Back

x = 10.

Front

What is the first step in solving the proportion 2/3 = x/9?

Back

Cross-multiply to get 2 * 9 = 3 * x.

Front

If x/5 = 3/15, what is the value of x?

Back

x = 1.

Front

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

Back

In a proportion, the product of the means equals the product of the extremes.