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Inequalities and Solving Inequalities

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Inequalities and Solving Inequalities
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14 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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Which system of inequalities describes the graph?

Tags

CCSS.HSA.REI.D.12

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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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

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Cody’s Gym charges a $15 fee to join and $30 per month. Tyler’s Gym charges a $30 fee to join and $20 per month. Write an inequality that could be used to determine after how many months Tyler’s gym would be a better deal.

30 + 20x < 15 + 30x

30x + 20 < 15x + 30

30 + 20x > 15 + 30x

30x + 20 > 15x + 30

Tags

CCSS.7.EE.B.4B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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. Which systems of inequalities represents this situation?

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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

You can work at most 20 hours next week. You need to earn at least $92 to cover you weekly expenses. Your math tutoring job pays $7.50 per hour and your job as a pet sitter pays $6 per hour. You can work at most 7 hours tutoring. Which system of linear inequalities to models the situation?

s + t < 20

6s + 7.50t ≥ 92

t >7

s + t ≤ 20

6s + 7.50t ≥ 92

t ≤ 7

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Identify the graph represented by the following system of

inequalities.


2x - y > 4


4x + 2y < 6

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Tags

CCSS.HSA.REI.D.12

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The owner of Mark's Meat Market orders beef and chicken. He wants to but at least 50 pounds of meat but cannot spend more than $300. Beef is $3 a pound and chicken is $2 a pound.
Which system of inequalities models this situation?

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