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: 2x − 5 > 17
Answer: x > 11
- Add 5: 2x > 22
- Divide by 2: x > 11
2.Solve: 2x + 2 > 0
Answer: x > −1
- Subtract 2: 2x > −2
- Divide by 2: x > −1
3.Solve: x − 2 ≥ 9
Answer: x ≥ 11
- Add 2: x ≥ 11
- Divide by 1: x ≥ 11
4.Solve: −2x + 6 ≤ 2
Answer: x ≥ 2
- Subtract 6: −2x ≤ −4
- Divide by −2 (negative, so reverse the sign): x ≥ 2
5.Solve: 5x + 5 ≤ −15
Answer: x ≤ −4
- Subtract 5: 5x ≤ −20
- Divide by 5: x ≤ −4
6.Solve: −2x − 8 < −32
Answer: x > 12
- Add 8: −2x < −24
- Divide by −2 (negative, so reverse the sign): x > 12
7.Solve: −3x + 12 ≥ 36
Answer: x ≤ −8
- Subtract 12: −3x ≥ 24
- Divide by −3 (negative, so reverse the sign): x ≤ −8
8.Solve: −3x − 10 ≥ −7
Answer: x ≤ −1
- Add 10: −3x ≥ 3
- Divide by −3 (negative, so reverse the sign): x ≤ −1
9.Solve: 4x − 5 ≤ −33
Answer: x ≤ −7
- Add 5: 4x ≤ −28
- Divide by 4: x ≤ −7
10.Solve: x + 8 ≤ 5
Answer: x ≤ −3
- Subtract 8: x ≤ −3
- Divide by 1: x ≤ −3
11.Solve: −6x + 9 ≤ 57
Answer: x ≥ −8
- Subtract 9: −6x ≤ 48
- Divide by −6 (negative, so reverse the sign): x ≥ −8
12.Solve: 2x − 10 ≥ −22
Answer: x ≥ −6
- Add 10: 2x ≥ −12
- Divide by 2: x ≥ −6
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