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, cross-multiply the terms and then isolate the variable.

Front

What does cross-multiplication involve?

Back

Cross-multiplication involves 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 a*d = b*c.

Front

What is the first step in solving the proportion 2/x = 4/8?

Back

Cross-multiply to get 2*8 = 4*x.

Front

What is the solution to the proportion 2/x = 4/8?

Back

x = 4.

Front

What does it mean if a proportion is undefined?

Back

A proportion is undefined if it involves division by zero.

Front

How can you check if your solution to a proportion is correct?

Back

You can check by substituting the solution back into the original proportion to see if both sides are equal.

Front

What is the value of x in the proportion 3/x = 6/12?

Back

x = 6.

Front

What is the relationship between equivalent fractions and proportions?

Back

Equivalent fractions represent the same value and can be used to form proportions.