Year 7 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 7 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Linear EquationsYear 7 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: 5x − 6 ≥ 49
Answer: x ≥ 11
- Add 6: 5x ≥ 55
- Divide by 5: x ≥ 11
2.Solve: −5x − 1 > −31
Answer: x < 6
- Add 1: −5x > −30
- Divide by −5 (negative, so reverse the sign): x < 6
3.Solve: 2x + 9 < −7
Answer: x < −8
- Subtract 9: 2x < −16
- Divide by 2: x < −8
4.Solve: x − 4 ≤ 1
Answer: x ≤ 5
- Add 4: x ≤ 5
- Divide by 1: x ≤ 5
5.Solve: −6x + 9 < −33
Answer: x > 7
- Subtract 9: −6x < −42
- Divide by −6 (negative, so reverse the sign): x > 7
6.Solve: 6x − 12 ≥ −24
Answer: x ≥ −2
- Add 12: 6x ≥ −12
- Divide by 6: x ≥ −2
7.Solve: −4x + 11 > 23
Answer: x < −3
- Subtract 11: −4x > 12
- Divide by −4 (negative, so reverse the sign): x < −3
8.Solve: 6x + 11 < 17
Answer: x < 1
- Subtract 11: 6x < 6
- Divide by 6: x < 1
9.Solve: 2x + 5 > 21
Answer: x > 8
- Subtract 5: 2x > 16
- Divide by 2: x > 8
10.Solve: −6x − 2 ≤ −20
Answer: x ≥ 3
- Add 2: −6x ≤ −18
- Divide by −6 (negative, so reverse the sign): x ≥ 3
11.Solve: −x + 10 ≤ 14
Answer: x ≥ −4
- Subtract 10: −x ≤ 4
- Divide by −1 (negative, so reverse the sign): x ≥ −4
12.Solve: 4x − 8 ≥ 32
Answer: x ≥ 10
- Add 8: 4x ≥ 40
- Divide by 4: x ≥ 10
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