Ratio and Proportions

Front

What is a ratio?

Back

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

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 it mean if two ratios are equivalent?

Back

If two ratios are equivalent, it means they represent the same relationship between quantities.

Front

If 3/4 = x/16, what is x?

Back

x = 12.

Front

What is the formula for finding a missing value in a proportion?

Back

The formula is a/b = c/d, where a, b, c, and d are the terms of the proportion.

Front

If x/9 = 9/27, what is x?

Back

x = 3.

Front

What is the cross-multiplication method?

Back

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

Front

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

Back

x = 10.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.