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 − 7 ≥ −25
Answer: x ≤ 3
- Add 7: −6x ≥ −18
- Divide by −6 (negative, so reverse the sign): x ≤ 3
2.Solve: x + 8 < 20
Answer: x < 12
- Subtract 8: x < 12
- Divide by 1: x < 12
3.Solve: −6x − 1 ≤ −61
Answer: x ≥ 10
- Add 1: −6x ≤ −60
- Divide by −6 (negative, so reverse the sign): x ≥ 10
4.Solve: 2x + 1 ≥ 3
Answer: x ≥ 1
- Subtract 1: 2x ≥ 2
- Divide by 2: x ≥ 1
5.Solve: −5x + 6 > −54
Answer: x < 12
- Subtract 6: −5x > −60
- Divide by −5 (negative, so reverse the sign): x < 12
6.Solve: 2x − 12 > −4
Answer: x > 4
- Add 12: 2x > 8
- Divide by 2: x > 4
7.Solve: 2x + 3 < −7
Answer: x < −5
- Subtract 3: 2x < −10
- Divide by 2: x < −5
8.Solve: 6x − 10 ≤ 38
Answer: x ≤ 8
- Add 10: 6x ≤ 48
- Divide by 6: x ≤ 8
9.Solve: 2x − 10 < −2
Answer: x < 4
- Add 10: 2x < 8
- Divide by 2: x < 4
10.Solve: 6x + 6 ≥ −30
Answer: x ≥ −6
- Subtract 6: 6x ≥ −36
- Divide by 6: x ≥ −6
11.Solve: −6x + 12 ≥ 24
Answer: x ≤ −2
- Subtract 12: −6x ≥ 12
- Divide by −6 (negative, so reverse the sign): x ≤ −2
12.Solve: −3x − 7 ≥ −22
Answer: x ≤ 5
- Add 7: −3x ≥ −15
- Divide by −3 (negative, so reverse the sign): x ≤ 5
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