Unit Rates and Proportions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if you can buy 5 apples for $10, the unit rate is $2 per apple.

Front

How do you calculate the unit price of an item?

Back

To calculate the unit price, divide the total price by the total quantity. For example, if a box of cereal costs $4 and contains 12 ounces, the unit price is $4 ÷ 12 oz = $0.33 per ounce.

Front

What is a ratio?

Back

A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other. For example, the ratio of 3 red LEGOS to 6 yellow LEGOS is 3:6 or 1:2.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor. For example, the ratio 8:12 can be simplified to 2:3 by dividing both terms by 4.

Front

What is the difference between a unit rate and a ratio?

Back

A unit rate compares a quantity to one unit of another quantity, while a ratio compares two quantities directly without necessarily relating them to one unit.

Front

How do you find the better deal between two prices?

Back

To find the better deal, calculate the unit price for each option and compare them. The option with the lower unit price is the better deal.

Front

If you spend $40 on 5 pounds of concrete, what is the unit rate in dollars per pound?

Back

$8 per pound.

Front

Nico does 42 push-ups in 3 minutes. What is his unit rate?

Back

14 push-ups per minute.

Front

Daniel spent $2.00 for 20 pieces of gum. What is the unit price per piece?

Back

$0.10 per piece.

Front

If Jude spent $1.50 for 10 pieces of gum, what is the unit price per piece?

Back

$0.15 per piece.