Unit Rate and Proportions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity of one unit, such as miles per hour or price per item.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate from a ratio, divide the first quantity by the second quantity to get the amount per one unit of the second quantity.

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 two ratios and set the products equal to each other, then solve for the unknown.

Front

What is the formula for finding a percent?

Back

The formula for finding a percent is: (part/whole) x 100 = percent.

Front

If 15 is what percent of 75, how do you set up the equation?

Back

Set up the equation as: 15 = x% of 75, or 15 = (x/100) * 75.

Front

What is the relationship between unit rates and proportions?

Back

Unit rates can be used to create proportions, as they represent a constant ratio between two quantities.

Front

How do you convert a fraction to a percent?

Back

To convert a fraction to a percent, divide the numerator by the denominator and then multiply by 100.

Front

What is the first step in solving a percent proportion?

Back

The first step is to set up the proportion using the part, whole, and percent.

Front

How do you find the total amount when given a percent?

Back

To find the total amount when given a percent, divide the part by the percent (in decimal form) to find the whole.