Unit 9.1-9.4 Check for Understanding

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 a unit rate?

Back

To calculate a unit rate, divide the total quantity by the number of units. For example, if Alycia earned $20.40 in 3 hours, her unit rate is $20.40 ÷ 3 = $6.80 per hour.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and set the products equal to each other. For example, if a/b = c/d, then ad = bc.

Front

What is the formula for finding the unit rate of speed?

Back

The formula for finding the unit rate of speed is: Speed = Distance ÷ Time.

Front

If a car travels 440 miles in 8 hours, what is the unit rate?

Back

The unit rate is 440 miles ÷ 8 hours = 55 miles per hour.

Front

What does it mean to solve for x in an equation?

Back

To solve for x means to find the value of x that makes the equation true.

Front

If x + 5 = 15, what is the value of x?

Back

x = 15 - 5 = 10.

Front

What is the significance of unit rates in real-life applications?

Back

Unit rates help compare different quantities and make informed decisions, such as determining the best price per item or speed of travel.

Front

How can proportions be used in real-life situations?

Back

Proportions can be used to scale recipes, determine distances on maps, and compare prices.