Rates, Ratios, Proportions Test

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 travel 60 miles in 2 hours, the unit rate is 30 miles per 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. For example, if you have 16 ounces for every 2 hours, divide 16 by 2 to get 8 ounces per hour.

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. For example, the ratio of 2 boys to 3 girls can be written as 2:3.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if 1/2 = 2/4, then these two ratios are proportional.

Front

What does it mean for two rates to be proportional?

Back

Two rates are proportional if they maintain the same ratio when compared. For example, if you run 2 miles in 15 minutes and 4 miles in 30 minutes, these rates are proportional.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units. For example, speed is a rate that compares distance to time, such as miles per hour.

Front

How can you determine if a ratio is proportional using a table?

Back

To determine if a ratio is proportional using a table, check if the ratios of corresponding values are equal. If they are, the ratios are proportional.

Front

What is the difference between a ratio and a unit rate?

Back

A ratio compares two quantities, while a unit rate expresses one quantity per one unit of another quantity. For example, a ratio of 3:4 compares 3 apples to 4 oranges, while a unit rate might express 3 apples per 1 orange.

Front

If you run 3 miles in 25 minutes, what is your rate in miles per minute?

Back

To find the rate, divide the distance by the time: 3 miles ÷ 25 minutes = 0.12 miles per minute.

Front

What is the unit rate of 15 students to 2 teachers?

Back

The unit rate is 7.5 students per teacher (15 students ÷ 2 teachers).