Ratios and Rates Review

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as speed (miles per hour) or price (dollars per pound).

Front

How do you find the unit rate?

Back

To find the 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 does equivalent mean in terms of ratios?

Back

Equivalent means that two ratios represent the same relationship between quantities, even if the numbers are different.

Front

How can you determine if two ratios are equivalent?

Back

You can determine if two ratios are equivalent by cross-multiplying and checking if the products are equal.

Front

What is the unit rate of 60 miles in 3 hours?

Back

The unit rate is 20 miles per hour, calculated by dividing 60 miles by 3 hours.

Front

If a recipe calls for a ratio of 2:3 of sugar to flour, how much sugar is needed for 6 cups of flour?

Back

To find the amount of sugar needed, set up the ratio: 2/3 = x/6. Solving gives x = 4 cups of sugar.

Front

What is the missing number in the ratio table if the ratio is 4:5 and the first number is 16?

Back

The missing number is 20, because 16 is to 20 as 4 is to 5.

Front

If a car travels 150 miles on 5 gallons of gas, what is the miles per gallon (MPG)?

Back

The miles per gallon is 30 MPG, calculated by dividing 150 miles by 5 gallons.

Front

What is the ratio of 12 apples to 16 oranges in simplest form?

Back

The simplest form of the ratio 12:16 is 3:4.