1/3/24 practice 2-1 Ratios, Rates, and 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 earn $50 for 2 hours of work, the unit rate is $25 per hour.

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 spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

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. It can be expressed as a fraction, with a colon, or with the word 'to'.

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, the ratio 18:24 can be simplified to 3:4 by dividing both terms by 6.

Front

What is the boy:girl ratio in a class with 15 boys and 20 girls?

Back

The boy:girl ratio is 15:20, which simplifies to 3:4.

Front

How do you express a ratio as a fraction?

Back

To express a ratio as a fraction, write the first quantity as the numerator and the second quantity as the denominator. For example, the ratio 18:3 can be expressed as 18/3.

Front

What is the unit price?

Back

The unit price is the cost per single unit of a product. For example, if an eight-pack of bottled water costs $4.00, the unit price is $4.00 ÷ 8 = $0.50 per bottle.

Front

How do you find the unit price of an item?

Back

To find the unit price, divide the total price by the number of units. For example, if a pack of 12 eggs costs $3.00, the unit price is $3.00 ÷ 12 = $0.25 per egg.

Front

What is the formula for calculating unit rates?

Back

The formula for calculating unit rates is: Unit Rate = Total Amount ÷ Number of Units.

Front

If you earn $200 for 8 hours of work, what is your unit rate in dollars per hour?

Back

The unit rate is $200 ÷ 8 = $25 per hour.