Ratios and Proportions Review

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you write a ratio?

Back

Ratios can be written in three ways: as a fraction (a/b), with a colon (a:b), or with the word 'to' (a to b).

Front

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they express the same relationship between their quantities, meaning they can be set equal to each other.

Front

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

Back

c = 15 (using the proportion 5/3 = 25/c).

Front

On a map, if 1 cm represents 25 km, how many kilometers does 7 cm represent?

Back

175 km (7 cm x 25 km/cm = 175 km).

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

What is the unit rate of 21.7 miles in 7 hours?

Back

3.1 miles per hour (21.7 miles ÷ 7 hours = 3.1 miles/hour).

Front

How do you find the unit rate from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units.

Front

If 405 rotations occur in 5 minutes, what is the unit rate in rotations per minute?

Back

81 rotations per minute (405 rotations ÷ 5 minutes = 81 rotations/minute).

Front

What is the relationship between ratios and proportions?

Back

Ratios are used to express relationships, while proportions are equations that state that two ratios are equal.