System of Inequalities Word Problems

System of Inequalities Word Problems

8th - 9th Grade

8 Qs

quiz-placeholder

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System of Inequalities Word Problems

System of Inequalities Word Problems

Assessment

Quiz

Mathematics

8th - 9th Grade

Medium

CCSS
HSA.CED.A.2, HSA.REI.D.12, HSA.CED.A.3

+5

Standards-aligned

Used 1+ times

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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

x + y ≥ 6
32x + 20y ≤ 150

x + y ≥ 632
x + 20y  150

x + y  6
32x + 20y ≤ 150

x + y  6
32x + 20y  150

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

2x + 3y > 100

x + y ≤ 40

100x + 2y > 3

x + y ≤ 40

100x + 40y > 100

3x + 2y ≤ 40

3x + 2y > 100

x + y ≤ 40

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of three point shots, which inequalities below represent the situation?

x + y < 10

2x + 3y ≥ 20

x + y ≤ 10

2x + 3y ≥ 20

x + y ≤ 10

2x + 3y > 20

x + y < 10

2x + 3y > 20

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

4.

MULTIPLE CHOICE QUESTION

5 mins • 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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

5.

MULTIPLE CHOICE QUESTION

15 mins • 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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Which point is a solution?

(0, 6)
(-3, 4)
(1, 0)
(-4, 3)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Which of the following system of inequalities represents the graph above?

3x-y<-4

2x+y<-3

3x-y>-4

2x+y>-3

3x-y≤-4

2x+y≤-3

3x-y≥-4

2x+y≥-3

Tags

CCSS.HSA.REI.D.12

8.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Which system of inequalities represents the graph shown above?

x+y<-2

5x+y>2

x+y>-2

5x+y<2

x+y≤-2

5x+y≥2

x+y≥-2

5x+y≤2

Tags

CCSS.HSA.REI.D.12