Year 9 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: −x − 9 ≥ −20
Answer: x ≤ 11
- Add 9: −x ≥ −11
- Divide by −1 (negative, so reverse the sign): x ≤ 11
2.Solve: −2x + 12 > 30
Answer: x < −9
- Subtract 12: −2x > 18
- Divide by −2 (negative, so reverse the sign): x < −9
3.Solve: 4x − 12 ≥ −4
Answer: x ≥ 2
- Add 12: 4x ≥ 8
- Divide by 4: x ≥ 2
4.Solve: 3x + 1 < 37
Answer: x < 12
- Subtract 1: 3x < 36
- Divide by 3: x < 12
5.Solve: −2x + 11 ≥ 3
Answer: x ≤ 4
- Subtract 11: −2x ≥ −8
- Divide by −2 (negative, so reverse the sign): x ≤ 4
6.Solve: −4x − 9 ≤ −21
Answer: x ≥ 3
- Add 9: −4x ≤ −12
- Divide by −4 (negative, so reverse the sign): x ≥ 3
7.Solve: 2x − 10 ≤ 4
Answer: x ≤ 7
- Add 10: 2x ≤ 14
- Divide by 2: x ≤ 7
8.Solve: 4x + 4 > −4
Answer: x > −2
- Subtract 4: 4x > −8
- Divide by 4: x > −2
9.Solve: 2x − 2 ≥ −12
Answer: x ≥ −5
- Add 2: 2x ≥ −10
- Divide by 2: x ≥ −5
10.Solve: −4x − 9 < −1
Answer: x > −2
- Add 9: −4x < 8
- Divide by −4 (negative, so reverse the sign): x > −2
11.Solve: 5x + 8 > 28
Answer: x > 4
- Subtract 8: 5x > 20
- Divide by 5: x > 4
12.Solve: −3x − 11 ≤ 1
Answer: x ≥ −4
- Add 11: −3x ≤ 12
- Divide by −3 (negative, so reverse the sign): x ≥ −4
Marking tips
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