Solving Proportions Flashcard

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 for x in a proportion?

Back

The first step is to set the two ratios equal to each other.

Front

Solve for x: 2/x = 4/8

Back

x = 4.

Front

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

Back

x = 6.

Front

If 5/x = 10/20, what is x?

Back

x = 10.

Front

What is the relationship between equivalent ratios?

Back

Equivalent ratios have the same value when simplified.

Front

How can you check if two ratios are equivalent?

Back

You can check by cross-multiplying and seeing if the products are equal.