Year 8 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 8 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Linear EquationsYear 8 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 3 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: 5x + 12 > −13
Answer: x > −5
- Subtract 12: 5x > −25
- Divide by 5: x > −5
2.Solve: 4x − 11 ≥ 13
Answer: x ≥ 6
- Add 11: 4x ≥ 24
- Divide by 4: x ≥ 6
3.Solve: x − 8 ≥ −5
Answer: x ≥ 3
- Add 8: x ≥ 3
- Divide by 1: x ≥ 3
4.Solve: −2x − 12 > −12
Answer: x < 0
- Add 12: −2x > 0
- Divide by −2 (negative, so reverse the sign): x < 0
5.Solve: 4x − 5 ≤ −29
Answer: x ≤ −6
- Add 5: 4x ≤ −24
- Divide by 4: x ≤ −6
6.Solve: −3x − 3 < 0
Answer: x > −1
- Add 3: −3x < 3
- Divide by −3 (negative, so reverse the sign): x > −1
7.Solve: −5x + 12 < 57
Answer: x > −9
- Subtract 12: −5x < 45
- Divide by −5 (negative, so reverse the sign): x > −9
8.Solve: 6x + 10 ≥ 28
Answer: x ≥ 3
- Subtract 10: 6x ≥ 18
- Divide by 6: x ≥ 3
9.Solve: x + 4 ≥ −1
Answer: x ≥ −5
- Subtract 4: x ≥ −5
- Divide by 1: x ≥ −5
10.Solve: 4x − 7 < 17
Answer: x < 6
- Add 7: 4x < 24
- Divide by 4: x < 6
11.Solve: 3x − 2 ≤ −26
Answer: x ≤ −8
- Add 2: 3x ≤ −24
- Divide by 3: x ≤ −8
12.Solve: −2x − 8 < −22
Answer: x > 7
- Add 8: −2x < −14
- Divide by −2 (negative, so reverse the sign): x > 7
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