Year 7 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 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 — Practice Set 3 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: −5x − 11 ≤ −6
Answer: x ≥ −1
- Add 11: −5x ≤ 5
- Divide by −5 (negative, so reverse the sign): x ≥ −1
2.Solve: −4x − 5 ≥ −13
Answer: x ≤ 2
- Add 5: −4x ≥ −8
- Divide by −4 (negative, so reverse the sign): x ≤ 2
3.Solve: −x + 4 > −7
Answer: x < 11
- Subtract 4: −x > −11
- Divide by −1 (negative, so reverse the sign): x < 11
4.Solve: 2x − 10 > 14
Answer: x > 12
- Add 10: 2x > 24
- Divide by 2: x > 12
5.Solve: 3x − 7 ≤ 29
Answer: x ≤ 12
- Add 7: 3x ≤ 36
- Divide by 3: x ≤ 12
6.Solve: −6x − 1 > −31
Answer: x < 5
- Add 1: −6x > −30
- Divide by −6 (negative, so reverse the sign): x < 5
7.Solve: 5x + 7 ≥ −8
Answer: x ≥ −3
- Subtract 7: 5x ≥ −15
- Divide by 5: x ≥ −3
8.Solve: −2x + 5 < 5
Answer: x > 0
- Subtract 5: −2x < 0
- Divide by −2 (negative, so reverse the sign): x > 0
9.Solve: 5x + 1 ≥ 31
Answer: x ≥ 6
- Subtract 1: 5x ≥ 30
- Divide by 5: x ≥ 6
10.Solve: −4x − 10 < −46
Answer: x > 9
- Add 10: −4x < −36
- Divide by −4 (negative, so reverse the sign): x > 9
11.Solve: 4x − 9 ≤ −17
Answer: x ≤ −2
- Add 9: 4x ≤ −8
- Divide by 4: x ≤ −2
12.Solve: −5x − 11 ≤ 14
Answer: x ≥ −5
- Add 11: −5x ≤ 25
- Divide by −5 (negative, so reverse the sign): x ≥ −5
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