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Systems of Inequalities

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Systems of Inequalities
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 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

2.

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. JoAnn wants to to tutor and baby-sit and make at least $66 per week. Formulate an system of inequalities to model how many hours per week she can work at each job.

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

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

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

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

3.

MULTIPLE CHOICE QUESTION

1 min • 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

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Is (0,0) a solution to the system?

Solution

Not a solution

Tags

CCSS.HSA.REI.D.12

5.

MULTIPLE SELECT QUESTION

1 min • 5 pts

Media Image

Which points are solutions to the system of inequalities. Select all that apply.

(2,2)

(0,0)

(4,1)

(0,1)

(3,-1)

Tags

CCSS.HSA.REI.D.12

6.

MULTIPLE SELECT QUESTION

1 min • 5 pts

Media Image

Which points are solutions to the system of inequalities? Select all that apply.

(0,0)

(-1,1)

(1,-1)

(0,-4)

(0,1)

Tags

CCSS.HSA.REI.D.12

7.

MULTIPLE SELECT QUESTION

1 min • 5 pts

Media Image

Which points are solutions to the system of inequalities? Select all that apply.

(-1,3)

(-3,1)

(0,4)

(4,0)

(0,2)

Tags

CCSS.HSA.REI.D.12

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