Inequalities Review

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

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

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40
• 1.50x + 10 ≤ 40
• 1.50x + 10 <40
• 10x + 1.50 < 40

A willow tree is 5.1 feet tall and grows at a rate of 2.5 feet a year. After how many years will the tree have reached no more than 60 feet tall?

• 5.1 + 2.5y ≥ 60
• 60 < 5.1 + 2.5
• 5.1 + 2.5y ≤ 60
• 5.1 + 2.5y > 60

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

• s < 55
• s > 55
• s ≤ 55
• s ≥ 55

Which sentence represents m > 41?

• Mary’s points, m, totaled more than 41
• Calvin ran no less than 41 miles, m
• The temperature, m, was less than 41°F
• The magazines’ cost, m, was not more than $41.

Which represents the word sentence as an inequality?
A number w is smaller than 5.

• w < 5
• w > 5
• w ≤ 5
• w ≥ 5

Which inequality represents the statement below. I can have no more than 10 pieces of candy.

• x ≥ 10

• x > 10

• x ≤ 10

• x < 10

• q≤46
• q<46
• q≥46
• q<46