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: −x + 5 < −6
Answer: x > 11
- Subtract 5: −x < −11
- Divide by −1 (negative, so reverse the sign): x > 11
2.Solve: −3x + 9 ≥ 36
Answer: x ≤ −9
- Subtract 9: −3x ≥ 27
- Divide by −3 (negative, so reverse the sign): x ≤ −9
3.Solve: 5x − 1 ≥ −6
Answer: x ≥ −1
- Add 1: 5x ≥ −5
- Divide by 5: x ≥ −1
4.Solve: −x − 8 < 0
Answer: x > −8
- Add 8: −x < 8
- Divide by −1 (negative, so reverse the sign): x > −8
5.Solve: −4x − 3 ≤ −23
Answer: x ≥ 5
- Add 3: −4x ≤ −20
- Divide by −4 (negative, so reverse the sign): x ≥ 5
6.Solve: −4x + 9 ≤ −19
Answer: x ≥ 7
- Subtract 9: −4x ≤ −28
- Divide by −4 (negative, so reverse the sign): x ≥ 7
7.Solve: x + 1 < 8
Answer: x < 7
- Subtract 1: x < 7
- Divide by 1: x < 7
8.Solve: x − 8 ≤ −17
Answer: x ≤ −9
- Add 8: x ≤ −9
- Divide by 1: x ≤ −9
9.Solve: −x − 1 ≤ −9
Answer: x ≥ 8
- Add 1: −x ≤ −8
- Divide by −1 (negative, so reverse the sign): x ≥ 8
10.Solve: −3x + 5 ≥ −25
Answer: x ≤ 10
- Subtract 5: −3x ≥ −30
- Divide by −3 (negative, so reverse the sign): x ≤ 10
11.Solve: −3x − 6 > −27
Answer: x < 7
- Add 6: −3x > −21
- Divide by −3 (negative, so reverse the sign): x < 7
12.Solve: −6x − 7 ≤ −31
Answer: x ≥ 4
- Add 7: −6x ≤ −24
- Divide by −6 (negative, so reverse the sign): x ≥ 4
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