ratios and proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a to b' or a:b.

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 form a proportion?

Back

It means that the two ratios are equivalent, or that they represent the same relationship.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If 2/3 = x/9, what is x?

Back

x = 6.

Front

What is a unit rate?

Back

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

Front

How do you determine if a table shows a proportional relationship?

Back

A table shows a proportional relationship if the ratios of corresponding values are equivalent.

Front

What is an example of a non-proportional relationship?

Back

An example is a table where the ratio of x to y changes, such as (1, 2), (2, 5), (3, 7).

Front

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

Back

The formula is a/b = c/d, where you can find the missing value by cross-multiplying.