Unit 13 · Class 8 IB MYP · MCQ Test
Inequalities MCQ Test — Class 8 IB MYP
Practice 10 multiple-choice questions with instant answer reveal and explanations.
Inequalities — MCQ Questions
1Solve: \(x + 3 > 7\)
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Answer: \(x > 4\)
Hint: Subtract 3 from both sides.
Solution:
x + 3 > 7
x > 7 − 3
x > 4
2Solve: \(x - 5 \leq 10\)
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Answer: \(x \leq 15\)
Hint: Add 5 to both sides.
Solution:
x − 5 ≤ 10
x ≤ 15
3Solve: \(2x > 12\)
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Answer: \(x > 6\)
Hint: Divide both sides by 2.
Solution:
2x > 12
x > 6
4Solve: \(3x + 1 < 16\)
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Answer: \(x < 5\)
Hint: Subtract 1, then divide by 3.
Solution:
3x + 1 < 16
3x < 15
x < 5
5Which integer values satisfy \(x > 2\) and \(x \leq 6\)?
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Answer: 3, 4, 5, 6
Hint: x must be greater than 2 (not including 2) and at most 6 (including 6).
Solution:
x > 2: smallest integer is 3
x ≤ 6: largest integer is 6
Integers: 3, 4, 5, 6
6Solve: \(\frac{x}{4} \geq 3\)
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Answer: \(x \geq 12\)
Hint: Multiply both sides by 4.
Solution:
x/4 ≥ 3
x ≥ 12
7Solve: \(-x > 5\)
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Answer: \(x < -5\)
Hint: When you multiply or divide by a negative number, flip the inequality sign.
Solution:
−x > 5
Multiply both sides by −1 (flip the sign):
x < −5
8Write the inequality shown on a number line with an open circle at 3 and an arrow pointing right.
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Answer: \(x > 3\)
Hint: An open circle means the point is NOT included.
Solution:
Open circle at 3 → not including 3
Arrow pointing right → values greater than 3
x > 3
9Solve: \(5x - 2 \geq 18\)
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Answer: \(x \geq 4\)
Hint: Add 2 to both sides, then divide by 5.
Solution:
5x − 2 ≥ 18
5x ≥ 20
x ≥ 4
10Solve: \(x + 8 > 3\)
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Answer: \(x > -5\)
Hint: Subtract 8 from both sides.
Solution:
x + 8 > 3
x > 3 − 8 = −5
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Tips for Inequalities MCQs
- 1Read each question carefully and identify what is being asked before looking at the options.
- 2Try to solve the problem mentally or on paper first, then match your answer with the options.
- 3Use elimination — rule out clearly wrong options to improve your chances even when unsure.
- 4Check units, signs, and edge cases — these are common traps in Inequalities MCQs.
- 5Review your mistakes after completing the test to build lasting understanding.
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