Unit 1: Ratios and Rates 1.1-1.2

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed in the form 'a:b'.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the total quantity by the number of units. For example, if you spend $3.75 for 3 pounds of granola, the unit rate is $3.75 ÷ 3 = $1.25 per pound.

Front

What is the ratio of red toy cars to all toy cars if Patrick has 2 black, 3 red, and 5 white toy cars?

Back

The ratio of red toy cars to all toy cars is 3:10.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same fraction.

Front

If a car travels 16 miles in 1 hour, how far will it travel in 15 minutes?

Back

In 15 minutes, the car will travel 4 miles.

Front

What is the unit rate of 12 apples for $3?

Back

The unit rate is $3 ÷ 12 apples = $0.25 per apple.

Front

How can you express the ratio 3:5 in different equivalent forms?

Back

You can express 3:5 as 6:10, 9:15, or 12:20 by multiplying both sides by the same number.

Front

What is the total number of toy cars Patrick has?

Back

Patrick has a total of 2 + 3 + 5 = 10 toy cars.

Front

If a recipe calls for a ratio of 2:3 of sugar to flour, how much sugar is needed for 6 cups of flour?

Back

If the ratio is 2:3, then for 6 cups of flour, you need (2/3) * 6 = 4 cups of sugar.

Front

What is the equivalent ratio of 21:28?

Back

The equivalent ratio of 21:28 is 3:4, as both can be simplified by dividing by 7.