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Linear Inequalities Worded Problem

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Linear Inequalities Worded Problem
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13 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 4 pts

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

Tags

CCSS.7.EE.B.4B

2.

MULTIPLE CHOICE QUESTION

1 min • 4 pts

A donut shop charges $0.70 for each donut and $0.30 for a carryout box.  Shirley has $5.00 to spend.  She needs to determine the most donuts (x) she can buy when she only puts them in one carryout box.  Which equation can be used to answer this problem?

70x + 30 < 500

30x + 70 < 500

70x + 30 ≤500

30x + 70 ≤ 500

Tags

CCSS.7.EE.B.4B

3.

MULTIPLE CHOICE QUESTION

1 min • 4 pts

The Bombetta Company wants to send a team of three representatives to a conference.  Their budget is $700.00 plus $125.00 per day for expenses.  If their total budget cannot exceed $1,400.00, which of the following inequalities expresses this situation?

125x + 700 ≥1,400

700 + 125x ≤1,400

700x + 125 ≤1,400

125x - 700 ≤ 1,400

Tags

CCSS.7.EE.B.4B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Cody’s Gym charges a $18 fee to join and $30 per month. Tyler’s Gym charges a $50 fee to join and $20 per month. Use an inequality to determine how many months will you have to go to the gym before Tyler’s gym becomes the better deal.

3

4

5

6

5.

MULTIPLE CHOICE QUESTION

1 min • 4 pts

At the Big Bear video rental store, blank CDs cost $1.50 each and blank DVDs cost $3.25 each.  Which of the following statements best describes the number of CDs (c) and DVDs (d) that can be purchased for less than $65.00?

150c + 325d < 6,500

325c + 150d <6,500

150c + 325d ≤ 6,500

325c + 150d ≤ 6,500

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Will my line be solid?
5 ≥ x

Yes

No

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which point below is NOT part of the solution set?

(0, 0)

(-10, -10)

(-1, 5)

(5, 20)

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