Unit Rates

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 3 apples for $6, the unit rate is $2 per apple.

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, the ratios 1:2 and 2:4 are equivalent.

Front

How do you calculate the unit rate from a total cost and quantity?

Back

To calculate the unit rate, divide the total cost by the quantity. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

What is the ratio of wins to losses if a team has won 11 games and lost 1?

Back

The ratio of wins to losses is 11:1.

Front

How do you simplify the ratio of triangles to squares if there are 4 triangles and 12 squares?

Back

To simplify the ratio of triangles to squares (4:12), divide both numbers by their greatest common divisor, which is 4. The simplified ratio is 1:3.

Front

What is the ratio of flames to arms on a candle if there are 3 flames and 2 arms?

Back

The ratio of flames to arms is 3:2.

Front

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

Back

Expressing a ratio in simplest form means reducing it to its smallest whole number values while maintaining the same relationship. For example, the ratio 8:12 simplifies to 2:3.

Front

If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

Back

The unit rate is 150 miles ÷ 3 hours = 50 miles per hour.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 3:4 can be written as the fraction 3/4.

Front

How do you find the unit price when comparing different products?

Back

To find the unit price, divide the total price by the quantity of the product. This allows for a fair comparison between products of different sizes or quantities.