Solve 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 variable.

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

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they express the same relationship between their quantities.

Front

If 4 out of every 9 doctors are women, how do you find the number of women doctors if there are 126 doctors?

Back

Multiply 126 by the fraction of women doctors (4/9) to find the number of women.

Front

What is the ratio of oatmeal cookies to chocolate chip cookies if there are 5 oatmeal and 6 chocolate chip cookies?

Back

The ratio is 5:6.

Front

If a hamburger costs $6 for 3 pounds, how much does it cost for 10 pounds?

Back

It costs $20 for 10 pounds.

Front

What is cross-multiplication in solving proportions?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

What is the first step in solving the proportion 1/5 = x/10?

Back

Cross-multiply to get 1 * 10 = 5 * x.

Front

How can you check if two ratios are proportional?

Back

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