Year 9 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear EquationsYear 9 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 2 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: 2x − 8 ≥ 6
Answer: x ≥ 7
- Add 8: 2x ≥ 14
- Divide by 2: x ≥ 7
2.Solve: −3x − 9 < 0
Answer: x > −3
- Add 9: −3x < 9
- Divide by −3 (negative, so reverse the sign): x > −3
3.Solve: −5x − 8 < −18
Answer: x > 2
- Add 8: −5x < −10
- Divide by −5 (negative, so reverse the sign): x > 2
4.Solve: 6x − 9 < −15
Answer: x < −1
- Add 9: 6x < −6
- Divide by 6: x < −1
5.Solve: 5x − 3 < 57
Answer: x < 12
- Add 3: 5x < 60
- Divide by 5: x < 12
6.Solve: 2x + 11 ≥ −3
Answer: x ≥ −7
- Subtract 11: 2x ≥ −14
- Divide by 2: x ≥ −7
7.Solve: 3x + 5 < −1
Answer: x < −2
- Subtract 5: 3x < −6
- Divide by 3: x < −2
8.Solve: 3x − 7 ≥ 2
Answer: x ≥ 3
- Add 7: 3x ≥ 9
- Divide by 3: x ≥ 3
9.Solve: x − 7 > −15
Answer: x > −8
- Add 7: x > −8
- Divide by 1: x > −8
10.Solve: 5x + 10 ≤ 45
Answer: x ≤ 7
- Subtract 10: 5x ≤ 35
- Divide by 5: x ≤ 7
11.Solve: 4x − 4 ≥ −32
Answer: x ≥ −7
- Add 4: 4x ≥ −28
- Divide by 4: x ≥ −7
12.Solve: −5x − 12 ≥ 18
Answer: x ≤ −6
- Add 12: −5x ≥ 30
- Divide by −5 (negative, so reverse the sign): x ≤ −6
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