Year 9 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 3 — 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 3 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: 6x + 8 > 50
Answer: x > 7
- Subtract 8: 6x > 42
- Divide by 6: x > 7
2.Solve: 6x − 8 > −62
Answer: x > −9
- Add 8: 6x > −54
- Divide by 6: x > −9
3.Solve: 6x + 6 > 30
Answer: x > 4
- Subtract 6: 6x > 24
- Divide by 6: x > 4
4.Solve: 6x + 1 > 37
Answer: x > 6
- Subtract 1: 6x > 36
- Divide by 6: x > 6
5.Solve: 6x + 10 > 52
Answer: x > 7
- Subtract 10: 6x > 42
- Divide by 6: x > 7
6.Solve: x − 3 > −6
Answer: x > −3
- Add 3: x > −3
- Divide by 1: x > −3
7.Solve: 3x + 6 > −15
Answer: x > −7
- Subtract 6: 3x > −21
- Divide by 3: x > −7
8.Solve: −5x − 12 < 33
Answer: x > −9
- Add 12: −5x < 45
- Divide by −5 (negative, so reverse the sign): x > −9
9.Solve: −4x − 7 < 21
Answer: x > −7
- Add 7: −4x < 28
- Divide by −4 (negative, so reverse the sign): x > −7
10.Solve: 3x − 4 ≥ 17
Answer: x ≥ 7
- Add 4: 3x ≥ 21
- Divide by 3: x ≥ 7
11.Solve: −6x + 10 > 16
Answer: x < −1
- Subtract 10: −6x > 6
- Divide by −6 (negative, so reverse the sign): x < −1
12.Solve: −2x − 11 > −27
Answer: x < 8
- Add 11: −2x > −16
- Divide by −2 (negative, so reverse the sign): x < 8
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