Unit Rates

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 quantity of one. It is often used to determine the cost per item or the speed per hour.

Front

How do you calculate the unit price of an item?

Back

To calculate the unit price, divide the total price by the number of units. For example, if 3 items cost $6, the unit price is $6 ÷ 3 = $2 per item.

Front

What is the formula to find the unit rate of speed?

Back

The formula to find the unit rate of speed is: Speed = Distance ÷ Time.

Front

If 12 gallons of gas cost $33, what is the cost per gallon?

Back

To find the cost per gallon, divide the total cost by the number of gallons: $33 ÷ 12 = $2.75 per gallon.

Front

How do you compare two unit prices to determine the better deal?

Back

To compare two unit prices, calculate the unit price for each option and then compare the values. The option with the lower unit price is the better deal.

Front

What is the unit price of 6 red chairs that cost $67.80?

Back

To find the unit price, divide the total cost by the number of chairs: $67.80 ÷ 6 = $11.30 per chair.

Front

If a train travels 1,230 miles in 5 hours, what is its speed in miles per hour?

Back

To find the speed, divide the distance by the time: 1,230 miles ÷ 5 hours = 246 mph.

Front

What does it mean if an item has a lower unit price?

Back

A lower unit price means that the item is cheaper per unit compared to another option, making it a better value for the consumer.

Front

How can you solve for a variable in a unit rate equation?

Back

To solve for a variable in a unit rate equation, isolate the variable on one side of the equation using algebraic operations.

Front

What is the unit price of 3 soda cans that cost $2.55?

Back

To find the unit price, divide the total cost by the number of cans: $2.55 ÷ 3 = $0.85 per can.