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: 2x + 7 > 31
Answer: x > 12
- Subtract 7: 2x > 24
- Divide by 2: x > 12
2.Solve: −2x + 9 ≤ −11
Answer: x ≥ 10
- Subtract 9: −2x ≤ −20
- Divide by −2 (negative, so reverse the sign): x ≥ 10
3.Solve: −6x + 10 < −20
Answer: x > 5
- Subtract 10: −6x < −30
- Divide by −6 (negative, so reverse the sign): x > 5
4.Solve: 3x + 5 ≥ 20
Answer: x ≥ 5
- Subtract 5: 3x ≥ 15
- Divide by 3: x ≥ 5
5.Solve: 6x − 3 ≤ 15
Answer: x ≤ 3
- Add 3: 6x ≤ 18
- Divide by 6: x ≤ 3
6.Solve: −3x − 10 ≥ 5
Answer: x ≤ −5
- Add 10: −3x ≥ 15
- Divide by −3 (negative, so reverse the sign): x ≤ −5
7.Solve: x − 12 < −17
Answer: x < −5
- Add 12: x < −5
- Divide by 1: x < −5
8.Solve: −3x − 2 ≤ −11
Answer: x ≥ 3
- Add 2: −3x ≤ −9
- Divide by −3 (negative, so reverse the sign): x ≥ 3
9.Solve: −6x + 7 ≥ −35
Answer: x ≤ 7
- Subtract 7: −6x ≥ −42
- Divide by −6 (negative, so reverse the sign): x ≤ 7
10.Solve: 3x − 7 ≤ 23
Answer: x ≤ 10
- Add 7: 3x ≤ 30
- Divide by 3: x ≤ 10
11.Solve: −2x + 2 > 16
Answer: x < −7
- Subtract 2: −2x > 14
- Divide by −2 (negative, so reverse the sign): x < −7
12.Solve: 4x − 10 ≥ 38
Answer: x ≥ 12
- Add 10: 4x ≥ 48
- Divide by 4: x ≥ 12
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