Year 9 Solving Linear Inequalities Worksheet — Level 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 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: −5x + 5 > −30
Answer: x < 7
- Subtract 5: −5x > −35
- Divide by −5 (negative, so reverse the sign): x < 7
2.Solve: 3x − 10 ≤ −31
Answer: x ≤ −7
- Add 10: 3x ≤ −21
- Divide by 3: x ≤ −7
3.Solve: −x − 10 < −10
Answer: x > 0
- Add 10: −x < 0
- Divide by −1 (negative, so reverse the sign): x > 0
4.Solve: −4x + 5 > 29
Answer: x < −6
- Subtract 5: −4x > 24
- Divide by −4 (negative, so reverse the sign): x < −6
5.Solve: 6x − 5 ≤ −23
Answer: x ≤ −3
- Add 5: 6x ≤ −18
- Divide by 6: x ≤ −3
6.Solve: −6x + 1 ≤ 49
Answer: x ≥ −8
- Subtract 1: −6x ≤ 48
- Divide by −6 (negative, so reverse the sign): x ≥ −8
7.Solve: 2x − 2 < −16
Answer: x < −7
- Add 2: 2x < −14
- Divide by 2: x < −7
8.Solve: 5x + 8 ≥ −17
Answer: x ≥ −5
- Subtract 8: 5x ≥ −25
- Divide by 5: x ≥ −5
9.Solve: −2x + 9 > −11
Answer: x < 10
- Subtract 9: −2x > −20
- Divide by −2 (negative, so reverse the sign): x < 10
10.Solve: −2x + 12 < 14
Answer: x > −1
- Subtract 12: −2x < 2
- Divide by −2 (negative, so reverse the sign): x > −1
11.Solve: −4x − 4 < −20
Answer: x > 4
- Add 4: −4x < −16
- Divide by −4 (negative, so reverse the sign): x > 4
12.Solve: −x − 6 > 3
Answer: x < −9
- Add 6: −x > 9
- Divide by −1 (negative, so reverse the sign): x < −9
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