Solving and Graphing Inequalities Word Problems

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

• s < 55

• s > 55

• s ≤ 55

• s ≥ 55

8x ≥ -32

• x ≥ -4

• x ≥ 4

• x ≤ -4

• x ≥ 4

When graphing b < 6 would you use an open or closed circle?

• Open

• closed

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100

• 5x - 100 ≥ 10

• 10x + 5 ≤ 100

• 5x + 10 > 100

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600

• 125x + 55 ≥ 600

• 125x + 55 > 600

• 125x + 55 < 600

What inequality does the number line graph represent?

• x ≤ 4

• x ≥ -4

• x < -4

• x < 4

Pick the correct inequality.

• A

• B

• C

• D

Amy owns a food truck that sells tacos and burritos. She only has enough ingredients to make 122 tacos or burritos.Write and solve an inequality that could represent the maximum possible value for the number of tacos sold, if Amy is making 100 burritos .

• 20 tacos

• 222 tacos

• 21 tacos

• 22 tacos

Kaylee and her children are going to a movie theater to buy drinks and candies. She must buy no less than 15 drinks and candies altogether. Write and solve inequality that would represent the most possible values for the number of drinks purchased, d if Kaylee is buying 3 candies.

• 12 drinks

• 11 drinks

• 18 drinks

• 5 drinks

• 45 drinks

How many steps are required when solving inequality word problems? (Read carefully)

• 3 steps: Solving, Checking, and Graphing

• 4 steps: Solving, Checking, Identifying the Property, Graphing

• 4 steps: Defining the Variable, Solving, Checking, and Graphing

• 3 steps: Finding Key words, Solving, and Checking