Solve the 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 solve for the unknown variable.

Front

What does cross-multiplication mean?

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 equation?

Back

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

Front

What is the first step in solving the proportion 3/x = 6/12?

Back

The first step is to cross-multiply: 3 * 12 = 6 * x.

Front

What is the solution to the proportion 3/x = 6/12?

Back

The solution is x = 6.

Front

If 4/5 = x/20, how do you find x?

Back

Cross-multiply to get 4 * 20 = 5 * x, then solve for x.

Front

What is the value of x in the proportion 4/5 = x/20?

Back

The value of x is 16.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How can you express a ratio?

Back

A ratio can be expressed in three ways: as a fraction, with a colon (e.g., 4:5), or in words (e.g., '4 to 5').