Test : unit rate and proportional relationships

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity of one unit. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you find the cost of multiple items when given a unit price?

Back

To find the cost of multiple items, multiply the unit price by the number of items. For example, if one bracelet costs $5, then 5 bracelets cost 5 x $5 = $25.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant. For example, if you double one quantity, the other quantity also doubles.

Front

How do you determine if a table represents a proportional relationship?

Back

To determine if a table represents a proportional relationship, check if the ratios of the corresponding values are equivalent. If they are, the relationship is proportional.

Front

If 3 bracelets cost $15, what is the cost of 1 bracelet?

Back

To find the cost of 1 bracelet, divide the total cost by the number of bracelets: $15 ÷ 3 = $5.

Front

If Maya earns $10 per hour, how much will she earn in 15 hours?

Back

To find out how much Maya will earn in 15 hours, multiply her hourly wage by the number of hours: $10 x 15 = $150.

Front

What is the formula for finding a unit rate?

Back

The formula for finding a unit rate is: Unit Rate = Total Quantity ÷ Number of Units.

Front

If a recipe requires 4 cups of flour for 2 loaves of bread, how much flour is needed for 5 loaves?

Back

To find the amount of flour needed for 5 loaves, first find the unit rate: 4 cups ÷ 2 loaves = 2 cups per loaf. Then multiply by 5: 2 cups x 5 = 10 cups.

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, it means that the ratio between the two quantities is not constant. For example, if doubling one quantity does not result in doubling the other, the relationship is not proportional.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set them equal to each other. For example, if a/b = c/d, then a*d = b*c.