Benchmark Review-Unit Rate

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. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you calculate the unit rate from a total distance and time?

Back

To calculate the unit rate, divide the total distance by the total time. For example, if a car travels 266 miles in 7 hours, the unit rate is 266 miles ÷ 7 hours = 38 miles per hour.

Front

If a travel agent buys 15 train tickets for $675, how do you find the cost of one ticket?

Back

To find the cost of one ticket, divide the total cost by the number of tickets. So, $675 ÷ 15 tickets = $45 per ticket.

Front

What is the formula for finding the area of a triangle?

Back

The formula for finding the area of a triangle is: Area = 1/2 × base × height.

Front

Calculate the area of a triangle with a base of 25 cm and a height of 18 cm.

Back

Area = 1/2 × 25 cm × 18 cm = 225 cm².

Front

How do you find the price per gallon of gas if it costs $46.80 to fill a 13-gallon tank?

Back

To find the price per gallon, divide the total cost by the number of gallons. So, $46.80 ÷ 13 gallons = $3.60 per gallon.

Front

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

Back

The relationship is expressed by the formula: Distance = Rate × Time. This means that to find distance, you multiply the rate by the time.

Front

If Ernie travels 195 miles in 3 hours, how do you find his speed?

Back

To find his speed, divide the distance by the time. Speed = 195 miles ÷ 3 hours = 65 miles per hour.

Front

How far will Ernie travel in 5 hours at the same speed?

Back

If Ernie travels at 65 miles per hour, in 5 hours he will travel: Distance = Speed × Time = 65 miles/hour × 5 hours = 325 miles.

Front

What is a constant rate?

Back

A constant rate means that the quantity being measured does not change over time. For example, if a car travels at a constant speed, it covers the same distance in equal time intervals.