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Inequalities End of Year Word Problems

Authored by Kristen Sparks

Mathematics

7th - 8th Grade

CCSS covered

Used 10+ times

Inequalities End of Year Word Problems
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20 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

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