Ratio and Rate Reasoning

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 a single unit. It is often used to determine the cost per item or the speed per hour.

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 a subscription costs $75 for 6 months, the unit rate is $75 ÷ 6 = $12.50 per month.

Front

If 12 pencils cost $3, how do you find the cost per pencil?

Back

To find the cost per pencil, divide the total cost by the number of pencils. In this case, $3 ÷ 12 pencils = $0.25 per pencil.

Front

How do you determine how many items can be purchased with a different amount of money?

Back

To determine how many items can be purchased, first find the cost per item, then divide the new amount of money by the cost per item.

Front

What is the formula for calculating average speed?

Back

Average speed is calculated using the formula: Average Speed = Total Distance ÷ Total Time.

Front

If a car travels 104 miles in 4 hours, what is its average speed?

Back

The average speed is calculated as 104 miles ÷ 4 hours = 26 miles per hour.

Front

How do you convert cups to ounces?

Back

To convert cups to ounces, multiply the number of cups by 8, since 1 cup equals 8 ounces.

Front

If a recipe requires 3 1/2 cups of milk, how many ounces is that?

Back

3 1/2 cups is equal to 3.5 cups. To convert to ounces: 3.5 cups × 8 ounces/cup = 28 ounces.

Front

What is the relationship between pounds and ounces?

Back

There are 16 ounces in 1 pound.

Front

How do you convert pounds to ounces?

Back

To convert pounds to ounces, multiply the number of pounds by 16. For example, 83 pounds × 16 ounces/pound = 1,328 ounces.