Year 8 Solving Linear Inequalities Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 8 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Linear EquationsYear 8 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: −x − 2 ≥ 3
Answer: x ≤ −5
- Add 2: −x ≥ 5
- Divide by −1 (negative, so reverse the sign): x ≤ −5
2.Solve: x − 10 < −13
Answer: x < −3
- Add 10: x < −3
- Divide by 1: x < −3
3.Solve: 2x − 7 < −19
Answer: x < −6
- Add 7: 2x < −12
- Divide by 2: x < −6
4.Solve: 5x − 5 < 55
Answer: x < 12
- Add 5: 5x < 60
- Divide by 5: x < 12
5.Solve: −x − 2 ≥ −8
Answer: x ≤ 6
- Add 2: −x ≥ −6
- Divide by −1 (negative, so reverse the sign): x ≤ 6
6.Solve: −3x + 6 < −12
Answer: x > 6
- Subtract 6: −3x < −18
- Divide by −3 (negative, so reverse the sign): x > 6
7.Solve: −4x − 7 > 13
Answer: x < −5
- Add 7: −4x > 20
- Divide by −4 (negative, so reverse the sign): x < −5
8.Solve: −x + 2 ≤ 8
Answer: x ≥ −6
- Subtract 2: −x ≤ 6
- Divide by −1 (negative, so reverse the sign): x ≥ −6
9.Solve: −6x − 3 ≤ −57
Answer: x ≥ 9
- Add 3: −6x ≤ −54
- Divide by −6 (negative, so reverse the sign): x ≥ 9
10.Solve: 6x − 2 < 10
Answer: x < 2
- Add 2: 6x < 12
- Divide by 6: x < 2
11.Solve: 2x − 10 > 12
Answer: x > 11
- Add 10: 2x > 22
- Divide by 2: x > 11
12.Solve: 6x − 2 < 22
Answer: x < 4
- Add 2: 6x < 24
- Divide by 6: x < 4
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