Year 9 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear EquationsYear 9 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: 2x − 5 ≤ −9
Answer: x ≤ −2
- Add 5: 2x ≤ −4
- Divide by 2: x ≤ −2
2.Solve: −2x − 10 > −6
Answer: x < −2
- Add 10: −2x > 4
- Divide by −2 (negative, so reverse the sign): x < −2
3.Solve: x + 5 ≤ 0
Answer: x ≤ −5
- Subtract 5: x ≤ −5
- Divide by 1: x ≤ −5
4.Solve: −x − 12 > −9
Answer: x < −3
- Add 12: −x > 3
- Divide by −1 (negative, so reverse the sign): x < −3
5.Solve: −2x + 11 < 23
Answer: x > −6
- Subtract 11: −2x < 12
- Divide by −2 (negative, so reverse the sign): x > −6
6.Solve: −4x + 5 > −23
Answer: x < 7
- Subtract 5: −4x > −28
- Divide by −4 (negative, so reverse the sign): x < 7
7.Solve: −6x − 1 < 23
Answer: x > −4
- Add 1: −6x < 24
- Divide by −6 (negative, so reverse the sign): x > −4
8.Solve: −3x − 6 < −3
Answer: x > −1
- Add 6: −3x < 3
- Divide by −3 (negative, so reverse the sign): x > −1
9.Solve: 3x + 9 ≤ 42
Answer: x ≤ 11
- Subtract 9: 3x ≤ 33
- Divide by 3: x ≤ 11
10.Solve: 2x + 6 ≤ 10
Answer: x ≤ 2
- Subtract 6: 2x ≤ 4
- Divide by 2: x ≤ 2
11.Solve: 6x + 9 < −15
Answer: x < −4
- Subtract 9: 6x < −24
- Divide by 6: x < −4
12.Solve: −x + 6 ≥ −4
Answer: x ≤ 10
- Subtract 6: −x ≥ −10
- Divide by −1 (negative, so reverse the sign): x ≤ 10
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