Year 10 Solving Linear Inequalities Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear EquationsYear 10 Solving Linear Inequalities Worksheet — Level 3 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: −2x + 2 > −14
Answer: x < 8
- Subtract 2: −2x > −16
- Divide by −2 (negative, so reverse the sign): x < 8
2.Solve: x − 11 > −8
Answer: x > 3
- Add 11: x > 3
- Divide by 1: x > 3
3.Solve: 5x + 8 < −22
Answer: x < −6
- Subtract 8: 5x < −30
- Divide by 5: x < −6
4.Solve: −3x − 10 < 14
Answer: x > −8
- Add 10: −3x < 24
- Divide by −3 (negative, so reverse the sign): x > −8
5.Solve: −5x − 5 ≥ 35
Answer: x ≤ −8
- Add 5: −5x ≥ 40
- Divide by −5 (negative, so reverse the sign): x ≤ −8
6.Solve: x − 3 ≥ 1
Answer: x ≥ 4
- Add 3: x ≥ 4
- Divide by 1: x ≥ 4
7.Solve: −3x − 6 < 18
Answer: x > −8
- Add 6: −3x < 24
- Divide by −3 (negative, so reverse the sign): x > −8
8.Solve: −3x + 6 ≤ −6
Answer: x ≥ 4
- Subtract 6: −3x ≤ −12
- Divide by −3 (negative, so reverse the sign): x ≥ 4
9.Solve: 3x − 6 ≥ −21
Answer: x ≥ −5
- Add 6: 3x ≥ −15
- Divide by 3: x ≥ −5
10.Solve: 4x + 9 > 21
Answer: x > 3
- Subtract 9: 4x > 12
- Divide by 4: x > 3
11.Solve: 3x + 4 ≥ −11
Answer: x ≥ −5
- Subtract 4: 3x ≥ −15
- Divide by 3: x ≥ −5
12.Solve: 2x + 8 < −8
Answer: x < −8
- Subtract 8: 2x < −16
- Divide by 2: x < −8
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