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Represent Solutions to Inequalities

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Represent Solutions to Inequalities
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which system of inequalities matches the graph?

y > 2x - 4
y < 2

y < 2x - 4
y < 2

y > 2x - 4
<  2 

y < 2x - 4
<   -2

Tags

CCSS.HSA.REI.D.12

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which system of inequalities is shown?

y ≥ -x - 1
y < x + 4

y < -x - 1
 y ≥ x + 4

y > -x - 1
y ≥ x + 4

y > -x - 1
y ≥ x + 3

Tags

CCSS.HSA.REI.D.12

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Is (-2,4) a solution to the system?

Solution

Not a solution

Tags

CCSS.HSA.REI.D.12

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which of the following is not a solution to this system of inequalities?

(0,-1)

(0,3)

(4,0)

(6,-2)

Tags

CCSS.HSA.REI.D.12

5.

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

6.

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

7.

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

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