Inequalities End of Year Word Problems

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 (x) 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

Tags

CCSS.7.EE.B.4B

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 (x) the DJ will play at the dance?

• 125x + 55 ≤ 600
• 125x + 55 ≥ 600
• 125x + 55 > 600
• 125x + 55 < 600

Tags

CCSS.7.EE.B.4B

Daniel brought $40 to the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides (x) Daniel can go on?

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

Tags

CCSS.7.EE.B.4B

Which sentence represents x > 41?

• Mary’s points, x, totaled more than 41

• Calvin ran less than 41 miles, x

• The temperature, x, was at least 41° F

• The books' cost, x, was not more than $41.

Tags

CCSS.6.EE.B.8

Erin can read at least 80 words per minute. Write an inequality to show this situation. using x for the number of words

• x > 80
• x < 80
• x ≥ 80
• x ≤ 80

Tags

CCSS.6.EE.B.8

Sam make $10.25 per hour working at Cheddars.  He plans to buy a laptop for $550.  Write and solve an inequality describing how many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)

• 10.25h < 550; less than 54 hours
• 10.25h > 550; greater than 54 hours
• 10.25h ≤ 550; at most 54 hours
• 10.25h ≥ 550; at least 54 hours

A taxi cab costs $1.50 to get in, and $0.75 for each additional mile. You only have $20 to spend. Which inequality could be solved to find how many miles (m) you can travel?

• 1.50m + 0.75 ≥ 20

• 1.50m + 0.75 ≤ 20

• 0.75m + 1.50 ≥ 20

• 0.75m + 1.50 ≤ 20

Tags

CCSS.7.EE.B.4B

The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member (x) can raise that will at least meet the goal?

• 30x + 600 > 1,500
• 30x + 600 ≥ 1,500
• 30x + 600 < 1,500
• 30x + 600 < 1,500

Tags

CCSS.7.EE.B.4B

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

• s < 55
• s > 55
• s ≤ 55
• s ≥ 55

Tags

CCSS.6.EE.B.8

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

• x ≥ 10

• x > 10

• x ≤ 10

• x < 10

Tags

CCSS.6.EE.B.8