Year 8 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: 4x + 8 ≥ 4
Answer: x ≥ −1
- Subtract 8: 4x ≥ −4
- Divide by 4: x ≥ −1
2.Solve: −3x + 3 ≤ 30
Answer: x ≥ −9
- Subtract 3: −3x ≤ 27
- Divide by −3 (negative, so reverse the sign): x ≥ −9
3.Solve: −2x − 9 ≥ −13
Answer: x ≤ 2
- Add 9: −2x ≥ −4
- Divide by −2 (negative, so reverse the sign): x ≤ 2
4.Solve: −5x − 7 > 38
Answer: x < −9
- Add 7: −5x > 45
- Divide by −5 (negative, so reverse the sign): x < −9
5.Solve: −6x + 5 ≤ −25
Answer: x ≥ 5
- Subtract 5: −6x ≤ −30
- Divide by −6 (negative, so reverse the sign): x ≥ 5
6.Solve: 5x + 12 > −28
Answer: x > −8
- Subtract 12: 5x > −40
- Divide by 5: x > −8
7.Solve: 5x + 2 < 32
Answer: x < 6
- Subtract 2: 5x < 30
- Divide by 5: x < 6
8.Solve: −2x − 8 < 10
Answer: x > −9
- Add 8: −2x < 18
- Divide by −2 (negative, so reverse the sign): x > −9
9.Solve: 3x + 1 ≤ 16
Answer: x ≤ 5
- Subtract 1: 3x ≤ 15
- Divide by 3: x ≤ 5
10.Solve: −5x − 3 < 32
Answer: x > −7
- Add 3: −5x < 35
- Divide by −5 (negative, so reverse the sign): x > −7
11.Solve: −4x + 3 > −29
Answer: x < 8
- Subtract 3: −4x > −32
- Divide by −4 (negative, so reverse the sign): x < 8
12.Solve: −x + 7 ≥ 1
Answer: x ≤ 6
- Subtract 7: −x ≥ −6
- Divide by −1 (negative, so reverse the sign): x ≤ 6
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