Year 10 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 4 — 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 — Practice Set 4 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: −3x + 6 ≤ −24
Answer: x ≥ 10
- Subtract 6: −3x ≤ −30
- Divide by −3 (negative, so reverse the sign): x ≥ 10
2.Solve: 4x + 8 < 40
Answer: x < 8
- Subtract 8: 4x < 32
- Divide by 4: x < 8
3.Solve: −4x + 3 ≤ −37
Answer: x ≥ 10
- Subtract 3: −4x ≤ −40
- Divide by −4 (negative, so reverse the sign): x ≥ 10
4.Solve: −2x + 11 > 15
Answer: x < −2
- Subtract 11: −2x > 4
- Divide by −2 (negative, so reverse the sign): x < −2
5.Solve: −3x − 10 < −16
Answer: x > 2
- Add 10: −3x < −6
- Divide by −3 (negative, so reverse the sign): x > 2
6.Solve: −3x − 7 < −13
Answer: x > 2
- Add 7: −3x < −6
- Divide by −3 (negative, so reverse the sign): x > 2
7.Solve: −4x − 10 > 14
Answer: x < −6
- Add 10: −4x > 24
- Divide by −4 (negative, so reverse the sign): x < −6
8.Solve: 4x + 9 ≤ 45
Answer: x ≤ 9
- Subtract 9: 4x ≤ 36
- Divide by 4: x ≤ 9
9.Solve: 4x − 10 ≥ −34
Answer: x ≥ −6
- Add 10: 4x ≥ −24
- Divide by 4: x ≥ −6
10.Solve: −3x + 12 ≥ 21
Answer: x ≤ −3
- Subtract 12: −3x ≥ 9
- Divide by −3 (negative, so reverse the sign): x ≤ −3
11.Solve: −4x + 7 ≥ 35
Answer: x ≤ −7
- Subtract 7: −4x ≥ 28
- Divide by −4 (negative, so reverse the sign): x ≤ −7
12.Solve: 6x − 7 ≤ 29
Answer: x ≤ 6
- Add 7: 6x ≤ 36
- Divide by 6: x ≤ 6
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