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 − 10 > −17
Answer: x < 7
- Add 10: −x > −7
- Divide by −1 (negative, so reverse the sign): x < 7
2.Solve: 3x − 4 ≤ 20
Answer: x ≤ 8
- Add 4: 3x ≤ 24
- Divide by 3: x ≤ 8
3.Solve: 5x + 10 ≤ 45
Answer: x ≤ 7
- Subtract 10: 5x ≤ 35
- Divide by 5: x ≤ 7
4.Solve: −x + 6 < 8
Answer: x > −2
- Subtract 6: −x < 2
- Divide by −1 (negative, so reverse the sign): x > −2
5.Solve: −x + 6 < −2
Answer: x > 8
- Subtract 6: −x < −8
- Divide by −1 (negative, so reverse the sign): x > 8
6.Solve: −5x − 2 < 38
Answer: x > −8
- Add 2: −5x < 40
- Divide by −5 (negative, so reverse the sign): x > −8
7.Solve: 6x − 12 ≤ −24
Answer: x ≤ −2
- Add 12: 6x ≤ −12
- Divide by 6: x ≤ −2
8.Solve: −5x + 9 ≥ 39
Answer: x ≤ −6
- Subtract 9: −5x ≥ 30
- Divide by −5 (negative, so reverse the sign): x ≤ −6
9.Solve: 5x − 6 ≤ 39
Answer: x ≤ 9
- Add 6: 5x ≤ 45
- Divide by 5: x ≤ 9
10.Solve: 5x + 11 ≥ 6
Answer: x ≥ −1
- Subtract 11: 5x ≥ −5
- Divide by 5: x ≥ −1
11.Solve: −2x − 10 > −4
Answer: x < −3
- Add 10: −2x > 6
- Divide by −2 (negative, so reverse the sign): x < −3
12.Solve: −x − 2 ≥ −8
Answer: x ≤ 6
- Add 2: −x ≥ −6
- Divide by −1 (negative, so reverse the sign): x ≤ 6
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