linear-inequalities-quiz

Linear inequalities form the backbone of various mathematical concepts and real-life applications. This quiz is designed to test your grasp on solving, graphing, and interpreting linear inequalities. Dive in and see how well you can navigate through these mathematical challenges. Good luck!
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Linear Inequalities Quiz
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1. What is the solution set for the inequality 2x – 3 > 7?
Solve the inequality for x.

Linear Inequalities Quiz Questions Overview

1. What is the solution set for the inequality 2x – 3 > 7?

x > 5
x > 2
x < 2
x < 5

2. Which of the following inequalities represents the graph of a line that is shaded below?

y > mx + b
y < mx + b
y ≥ mx + b
y = mx + b

3. If 3x – 4 ≤ 2x + 1, what is the value of x?

x ≤ 5
x ≥ 5
x ≤ -5
x ≥ -5

4. Which of the following is NOT a solution to the inequality x + 3 < 7?

x = 2
x = 3
x = 4
x = 1

5. What is the solution set for the inequality -2x + 5 > 1?

x < 2
x > 2
x < -2
x > -2

6. Which of the following inequalities represents a line that is shaded above?

y > mx + b
y < mx + b
y ≤ mx + b
y = mx + b

7. If 4x – 1 ≥ 3x + 2, what is the value of x?

x ≥ 3
x ≤ 3
x ≥ -3
x ≤ -3

8. Which of the following is NOT a solution to the inequality 2x + 3 ≤ 9?

x = 2
x = 3
x = 0
x = 1

9. What is the solution set for the inequality 5 – 3x < 2?

x > 1
x < 1
x > -1
x < -1

10. Which of the following inequalities represents the graph of a line that is shaded below and includes the boundary line?

y > mx + b
y < mx + b
y ≤ mx + b
y ≥ mx + b

11. If -x + 4 > 2, what is the value of x?

x < 2
x > 2
x < -2
x > -2

12. Which of the following is NOT a solution to the inequality 3x – 2 < 4?

x = 1
x = 2
x = 0
x = -1

13. What is the solution set for the inequality 6x + 1 ≥ 7?

x ≥ 1
x ≤ 1
x ≥ -1
x ≤ -1

14. Which of the following inequalities represents a line that is shaded above and includes the boundary line?

y > mx + b
y < mx + b
y ≤ mx + b
y ≥ mx + b

15. If 2x – 5 < 3x + 1, what is the value of x?

x > -6
x < -6
x > 6
x < 6

16. Which of the following is NOT a solution to the inequality x – 3 > -1?

x = 3
x = 2
x = 4
x = 5
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