Unit Rates and Percentages

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is equal to one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you calculate a percentage of a number?

Back

To calculate a percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 30% of 80, calculate 80 x 0.30 = 24.

Front

What is the formula for finding the total cost when given a price per unit?

Back

Total Cost = Price per Unit x Number of Units. For example, if apples cost $1.50 per pound and you buy 5 pounds, the total cost is $1.50 x 5 = $7.50.

Front

How do you convert feet to inches?

Back

To convert feet to inches, multiply the number of feet by 12 (since 1 foot = 12 inches). For example, 90 feet = 90 x 12 = 1080 inches.

Front

What is the relationship between speed, distance, and time?

Back

The relationship is defined by the formula: Speed = Distance ÷ Time. For example, if a car travels 110 miles in 2 hours, its speed is 110 ÷ 2 = 55 miles per hour.

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 5 pounds of apples cost $7.50, the unit price is $7.50 ÷ 5 = $1.50 per pound.

Front

What does it mean to find a 'percent of a total'?

Back

Finding a percent of a total means calculating how much a certain percentage represents out of the total amount. For example, 30% of 80 means finding 30% of the total 80.

Front

How can you compare two different measurements?

Back

To compare two different measurements, convert them to the same unit. For example, to compare 90 feet and 1020 inches, convert feet to inches: 90 feet = 1080 inches.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other. For example, the ratio of 2 apples to 3 oranges is written as 2:3.

Front

How do you calculate the percentage increase or decrease?

Back

To calculate percentage increase or decrease, use the formula: ((New Value - Old Value) ÷ Old Value) x 100. For example, if a price increases from $50 to $60, the increase is ((60 - 50) ÷ 50) x 100 = 20%.