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Solving Systems of Inequalities Word Problems

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Used 21+ times

Solving Systems of Inequalities Word Problems
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the system of inequalities:
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

x + y ≤ 300
7.5x + 5.5y ≥ 2000

x + y < 300
7.5x + 5.5y ≥ 2000

x + y ≤ 300
7.5x + 5.5y ≤ 2000

x + y > 2000
7.5x + 5.5y ≤ 300

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Jonah is going to the store to buy candles. Small candles cost $3.50, and large candles cost $5.00. He needs to buy at least 20 candles and cannot spend more than $80. Write a system of linear inequalities that represents the situation.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Gabriela is the manager of a print shop. She needs to schedule employees to work no more than 300 person-hours per week. She has one 20 hour a week part-time employee. Each full-time employee works 40 hours per week. Which inequality will determine f, the number of full-time employees Gabriela can schedule to remain under the 300 person-hour per week limit?

Tags

CCSS.7.EE.B.4B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Cullin needs to save at least $100 for homecoming.  He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns.  He only has time to work 14 hours before homecoming. 

x + y  ≥ 25
x + y ≤ 8

100x + 25 y ≤ 100
2x + 8y ≤ 14

x + y ≥ 100
8x + 25y ≤ 14

8x + 25y ≥ 100
x + y ≤ 14

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?

b + t < 15
3b + 6t > 66

b + t > 15
3b + 6t < 66

3b + 6t > 15
b + t < 66

3b + 6t < 15
b + t < 66

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

x+y≤300
7.5x+5.5y≥2000

x+y<300
7.5x+5.5y≥2000

x+y≤300
7.5x+5.5y≤2000

x+y>2000
7.5x+5.5y≤300

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the system of inequalities
Eiko is drawing caricatures at a fair for 8 hours (480 minutes). She can complete a small drawing in 15 minutes and charges $10 for the drawing. She can complete a larger drawing in 45 minutes and charges $25 for the drawing. Eiko hopes to make at least $200 at the fair. 

10x+15y≤480
45x+25y≥250

10x+25y≤200
15x+45y≤480

10x+25y>200
15x+45y<480

10x+25y≥200
15x+45y≤480

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