Multistep Equations and Inequalities Study Guide

The dimensions of a rectangular pool are 24.5 feet by 13 feet. The depth of the water is 4 feet. Each cubic foot contains 7.48 gallons of water.

How many gallons of water, to the nearest tenth, are needed to fill the pool to 80% capacity?

• 7623.6 gallons

• 1274 gallons

• 1019.2 gallons

• 9529.52 gallons

A set of pencils sells for $1.75 and costs $0.40 to make. Twenty percent of the profit from each set of pencils goes to a school. 

If 500 sets are sold, what is the amount of money that will go to the school?

Hint: use the expression below to calculate the answer.

 $\left(1.75-0.40\right)\cdot0.2\cdot500$  

• 135

• 1.35

• 175

• 1.75

Shawn's family car holds 16 gallons of fuel. Each day the car uses 0.8 gallons of fuel to get to school and back. A warning light comes on when there is less than 1.5 gallons left in the fuel tank. Select the inequality that represents when the warning light comes on

• $1.5>16-0.8d$

• $16>1.5+0.8d$

• $1.5<16-0.8d$

Shawn’s family car holds 16 gallons of fuel. Each day the car uses 0.8 gallons of fuel to get to school and back. A warning light comes on when there is less than 1.5 gallons left in the fuel tank. How many days can Shawn drive the car before the warning light comes on? Round to the nearest whole day.

• 10 days

• 15 days

• 18 days

• 36 days

Jesse has $15\ \frac{3}{4}$  cups of flour. A batch of bread required  $5\ \frac{1}{2}$  cups of flour. How many FULL batches can be made is Jesse needs to save 2 cups of flour for a cake?

• 3

• 2.5

• 2

The perimeter of a rectangular garden is 37.5 feet (ft). The width is x, and the length is 15 ft. What is the width, in feet, of the garden?

• 3.75 ft

• 3 ft

• 7.5 ft

• 4 ft

Write a situation (word problem) that can be represented by the tape diagram.

At 3 pm, the temperature in Tampa was 85 degrees Fahrenheit. The temperature dropped at a steady rate of 2 degrees per hour.

Write an inequality that represents t, the number of hours past 3pm, when the temperature is cooler than 75 degrees Fahrenheit.

• $85-2t<75$

• $85-2t>75$

• $85-2t\le75$

• $85-2t\ge75$

At 3 pm, the temperature in Tampa was 85 degrees Fahrenheit. The temperature dropped at a steady rate of 2 degrees per hour.

 $85-2t<75$  

Solve an inequality that represents t, the number of hours past 3pm, when the temperature is cooler than 75 degrees Fahrenheit.

•  $t>5$  
  

•  $t<5$  
  

•  $t>-5$  
  

•  $t<-5$