8th Grade Solving Linear Inequalities Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 8th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Linear Equations8th Grade Solving Linear Inequalities Worksheet — Level 1 — Practice Set 3 — Answers
Solve each inequality the same way you would solve an equation.
1.4x ≥ 32
Answer: x ≥ 8
- Divide both sides by 4 (positive, so the sign stays): x ≥ 8
2.2x ≥ 14
Answer: x ≥ 7
- Divide both sides by 2 (positive, so the sign stays): x ≥ 7
3.x + 4 > 7
Answer: x > 3
- Subtract 4 on both sides: x > 7 − 4 = 3
4.x − 6 ≤ 3
Answer: x ≤ 9
- Add 6 on both sides: x ≤ 3 + 6 = 9
5.9x ≥ −63
Answer: x ≥ −7
- Divide both sides by 9 (positive, so the sign stays): x ≥ −7
6.5x < 60
Answer: x < 12
- Divide both sides by 5 (positive, so the sign stays): x < 12
7.6x > −48
Answer: x > −8
- Divide both sides by 6 (positive, so the sign stays): x > −8
8.x + 9 ≤ 10
Answer: x ≤ 1
- Subtract 9 on both sides: x ≤ 10 − 9 = 1
9.x − 5 > 1
Answer: x > 6
- Add 5 on both sides: x > 1 + 5 = 6
10.x + 3 < 5
Answer: x < 2
- Subtract 3 on both sides: x < 5 − 3 = 2
11.3x > 18
Answer: x > 6
- Divide both sides by 3 (positive, so the sign stays): x > 6
12.x + 6 < 14
Answer: x < 8
- Subtract 6 on both sides: x < 14 − 6 = 8
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
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