Year 7 Solving Linear Inequalities Worksheet — Level 3 — 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 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: 4x + 7 > −21
Answer: x > −7
- Subtract 7: 4x > −28
- Divide by 4: x > −7
2.Solve: 5x − 11 ≤ 29
Answer: x ≤ 8
- Add 11: 5x ≤ 40
- Divide by 5: x ≤ 8
3.Solve: −4x − 6 > −50
Answer: x < 11
- Add 6: −4x > −44
- Divide by −4 (negative, so reverse the sign): x < 11
4.Solve: −3x + 7 < −2
Answer: x > 3
- Subtract 7: −3x < −9
- Divide by −3 (negative, so reverse the sign): x > 3
5.Solve: −3x − 6 < −15
Answer: x > 3
- Add 6: −3x < −9
- Divide by −3 (negative, so reverse the sign): x > 3
6.Solve: −3x − 3 ≥ −3
Answer: x ≤ 0
- Add 3: −3x ≥ 0
- Divide by −3 (negative, so reverse the sign): x ≤ 0
7.Solve: −5x + 9 > −46
Answer: x < 11
- Subtract 9: −5x > −55
- Divide by −5 (negative, so reverse the sign): x < 11
8.Solve: 2x + 3 < 23
Answer: x < 10
- Subtract 3: 2x < 20
- Divide by 2: x < 10
9.Solve: 6x − 2 > 70
Answer: x > 12
- Add 2: 6x > 72
- Divide by 6: x > 12
10.Solve: 6x − 10 > 56
Answer: x > 11
- Add 10: 6x > 66
- Divide by 6: x > 11
11.Solve: x + 3 > −1
Answer: x > −4
- Subtract 3: x > −4
- Divide by 1: x > −4
12.Solve: −6x − 12 ≥ −78
Answer: x ≤ 11
- Add 12: −6x ≥ −66
- Divide by −6 (negative, so reverse the sign): x ≤ 11
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