Dive into the world of linear inequalities, where mathematical expressions and their relationships come to life. This quiz will test your ability to solve, interpret, and understand linear inequalities, sharpening your problem-solving skills along the way. Ready to challenge yourself and see how well you can navigate through these mathematical statements? Let’s get started!
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Linear Inequalities Quiz Questions Overview
1. Which of the following is a linear inequality?
2x + 3 = 5
2x – 4 > 6
x^2 + 2x + 1 = 0
3/x < 2
2. What is the solution set for the inequality 3x – 2 < 7?
x < 3
x > 3
x < 9
x > 9
3. Which of the following represents the solution to the inequality x – 5 ≥ 0?
x ≥ 5
x ≤ 5
x > 5
x < 5
4. If 4x + 1 ≤ 9, what is the maximum value of x?
x = 1
x = 2
x = 3
x = 4
5. Which of the following inequalities is equivalent to -2x > 4?
x < -2
x > -2
x < 2
x > 2
6. What is the solution set for the inequality 5x + 3 < 2x + 9?
x < 2
x > 2
x < 3
x > 3
7. Which of the following is not a solution to the inequality x – 7 ≤ 0?
x = -1
x = 0
x = 7
x = 8
8. If 2x – 3 > 1, what is the smallest integer that satisfies the inequality?
x = 1
x = 2
x = 3
x = 4
9. Which of the following inequalities represents the statement ‘x is at most 5’?
x < 5
x ≤ 5
x > 5
x ≥ 5
10. If x + 4 < 2x - 1, what is the solution for x?
x > 5
x < 5
x > -5
x < -5
11. Which of the following is a solution to the inequality 3x – 5 ≤ 4?
x = 2
x = 3
x = 4
x = 5
12. What is the solution set for the inequality -x + 2 > 3?
x < -1
x > -1
x < 1
x > 1
13. Which of the following inequalities is equivalent to 4 – 2x ≥ 6?
x ≤ -1
x ≥ -1
x ≤ -2
x ≥ -2
14. If 2x + 3 ≤ 5x – 6, what is the solution for x?
x ≥ 3
x ≤ 3
x ≥ -3
x ≤ -3
15. Which of the following represents the solution to the inequality 5 – x < 2?
x > 3
x < 3
x > -3
x < -3
We recommend that you do not leave the page that you are taking this quiz in. Stay honest 🙂