Algebra Inequalities Quiz
Test your knowledge of algebraic inequalities. Please answer all questions carefully.
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1. Which of the following is the solution to the inequality 2x + 5 < 11?
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x < 3
x > 3
x < 8
x > 8
2. Solve the inequality: 5 - 3x ≥ 2. Enter your answer as an inequality (e.g., x ≤ 1).
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3. Which graph represents the solution to x > -2?
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A number line shaded to the right of -2 with an open circle at -2
A number line shaded to the left of -2 with a closed circle at -2
A number line shaded to the right of -2 with a closed circle at -2
A number line shaded to the left of -2 with an open circle at -2
4. Match each inequality to its solution set.
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Rows
Solution Set
x + 2 < 6
x < 4
x > 4
x ≤ 4
x ≥ 4
x - 3 ≥ 1
x < 4
x > 4
x ≤ 4
x ≥ 4
2x > 8
x < 4
x > 4
x ≤ 4
x ≥ 4
x/2 ≤ 2
x < 4
x > 4
x ≤ 4
x ≥ 4
5. Which of the following is NOT a solution to the inequality 3x - 7 ≤ 8?
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x = 5
x = 3
x = 6
x = 4
6. True or False: The solution to -2x > 6 is x < -3.
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True
False
7. Provide an integer that satisfies the inequality 4x + 1 > 9.
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8. Which of the following inequalities has infinitely many solutions?
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x + 2 = x + 2
x - 3 < x - 5
2x > 2x + 1
x + 4 ≤ x + 3
9. Select all values that are solutions to the inequality x² < 9.
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x = 2
x = -2
x = 3
x = 0
x = -3
10. Briefly explain how you would solve the inequality 2(x - 1) ≤ 6.
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