Year 8 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 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 — Practice Set 3 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: x − 7 ≤ −8
Answer: x ≤ −1
- Add 7: x ≤ −1
- Divide by 1: x ≤ −1
2.Solve: −6x − 4 > −46
Answer: x < 7
- Add 4: −6x > −42
- Divide by −6 (negative, so reverse the sign): x < 7
3.Solve: x + 10 < 16
Answer: x < 6
- Subtract 10: x < 6
- Divide by 1: x < 6
4.Solve: 6x − 7 ≥ 59
Answer: x ≥ 11
- Add 7: 6x ≥ 66
- Divide by 6: x ≥ 11
5.Solve: −6x + 12 ≥ 6
Answer: x ≤ 1
- Subtract 12: −6x ≥ −6
- Divide by −6 (negative, so reverse the sign): x ≤ 1
6.Solve: 6x − 12 < −12
Answer: x < 0
- Add 12: 6x < 0
- Divide by 6: x < 0
7.Solve: 3x − 11 > −17
Answer: x > −2
- Add 11: 3x > −6
- Divide by 3: x > −2
8.Solve: −2x − 10 < −30
Answer: x > 10
- Add 10: −2x < −20
- Divide by −2 (negative, so reverse the sign): x > 10
9.Solve: −5x − 7 < −27
Answer: x > 4
- Add 7: −5x < −20
- Divide by −5 (negative, so reverse the sign): x > 4
10.Solve: −2x − 5 > 3
Answer: x < −4
- Add 5: −2x > 8
- Divide by −2 (negative, so reverse the sign): x < −4
11.Solve: 2x + 8 < 24
Answer: x < 8
- Subtract 8: 2x < 16
- Divide by 2: x < 8
12.Solve: −x − 2 ≥ −4
Answer: x ≤ 2
- Add 2: −x ≥ −2
- Divide by −1 (negative, so reverse the sign): x ≤ 2
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