Year 8 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 2 — 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 — Practice Set 2 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: −x − 1 < −6
Answer: x > 5
- Add 1: −x < −5
- Divide by −1 (negative, so reverse the sign): x > 5
2.Solve: −6x + 7 > 19
Answer: x < −2
- Subtract 7: −6x > 12
- Divide by −6 (negative, so reverse the sign): x < −2
3.Solve: −6x − 2 ≥ −20
Answer: x ≤ 3
- Add 2: −6x ≥ −18
- Divide by −6 (negative, so reverse the sign): x ≤ 3
4.Solve: 6x + 5 ≥ 59
Answer: x ≥ 9
- Subtract 5: 6x ≥ 54
- Divide by 6: x ≥ 9
5.Solve: 2x − 4 ≤ −22
Answer: x ≤ −9
- Add 4: 2x ≤ −18
- Divide by 2: x ≤ −9
6.Solve: 6x − 4 ≥ 8
Answer: x ≥ 2
- Add 4: 6x ≥ 12
- Divide by 6: x ≥ 2
7.Solve: x − 11 > −11
Answer: x > 0
- Add 11: x > 0
- Divide by 1: x > 0
8.Solve: −2x + 7 < 3
Answer: x > 2
- Subtract 7: −2x < −4
- Divide by −2 (negative, so reverse the sign): x > 2
9.Solve: x − 5 < −8
Answer: x < −3
- Add 5: x < −3
- Divide by 1: x < −3
10.Solve: 2x + 11 > 7
Answer: x > −2
- Subtract 11: 2x > −4
- Divide by 2: x > −2
11.Solve: −4x − 9 < −33
Answer: x > 6
- Add 9: −4x < −24
- Divide by −4 (negative, so reverse the sign): x > 6
12.Solve: 5x − 5 ≥ −45
Answer: x ≥ −8
- Add 5: 5x ≥ −40
- Divide by 5: x ≥ −8
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