Unit Rates and Rates Level 2 Mastery Flashcard

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 buy 5 pounds of concrete for $40, the unit rate is $8 per pound.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the total amount by the number of units. For example, if you earn $200 for 8 hours of work, the unit rate is $200 ÷ 8 = $25 per hour.

Front

What is the simplified ratio of 20 to 25?

Back

The simplified ratio of 20 to 25 is 4 to 5.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common factor (GCF). For example, for the ratio 20:25, the GCF is 5, so 20 ÷ 5 = 4 and 25 ÷ 5 = 5.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if the ratio of dogs to cats is 5 to 3, and there are 25 dogs, you can set up a proportion to find the number of cats.

Front

If the ratio of dogs to cats is 5 to 3 and there are 25 dogs, how many cats are there?

Back

There are 15 cats.

Front

What is the ratio of dogs to all pets if there are 2 dogs, 4 cats, and 5 hamsters?

Back

The ratio of dogs to all pets is 2:11.

Front

How do you find the total number of pets in a pet shop?

Back

To find the total number of pets, add the number of each type of pet together. For example, 2 dogs + 4 cats + 5 hamsters = 11 pets.

Front

What is the unit rate of $40 for 5 pounds of concrete?

Back

The unit rate is $8 per pound.

Front

What does it mean to express a ratio in simplest form?

Back

Expressing a ratio in simplest form means reducing it to its lowest terms, where the two numbers have no common factors other than 1.