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: x + 11 ≤ 6
Answer: x ≤ −5
- Subtract 11: x ≤ −5
- Divide by 1: x ≤ −5
2.Solve: −x − 5 ≥ −15
Answer: x ≤ 10
- Add 5: −x ≥ −10
- Divide by −1 (negative, so reverse the sign): x ≤ 10
3.Solve: x − 9 > −1
Answer: x > 8
- Add 9: x > 8
- Divide by 1: x > 8
4.Solve: −6x − 10 > −58
Answer: x < 8
- Add 10: −6x > −48
- Divide by −6 (negative, so reverse the sign): x < 8
5.Solve: x − 10 < −19
Answer: x < −9
- Add 10: x < −9
- Divide by 1: x < −9
6.Solve: 6x − 6 ≥ −30
Answer: x ≥ −4
- Add 6: 6x ≥ −24
- Divide by 6: x ≥ −4
7.Solve: −6x + 3 ≤ 45
Answer: x ≥ −7
- Subtract 3: −6x ≤ 42
- Divide by −6 (negative, so reverse the sign): x ≥ −7
8.Solve: −x + 3 ≥ 12
Answer: x ≤ −9
- Subtract 3: −x ≥ 9
- Divide by −1 (negative, so reverse the sign): x ≤ −9
9.Solve: −x − 4 ≥ −13
Answer: x ≤ 9
- Add 4: −x ≥ −9
- Divide by −1 (negative, so reverse the sign): x ≤ 9
10.Solve: −2x + 11 ≤ −9
Answer: x ≥ 10
- Subtract 11: −2x ≤ −20
- Divide by −2 (negative, so reverse the sign): x ≥ 10
11.Solve: −x − 2 < 2
Answer: x > −4
- Add 2: −x < 4
- Divide by −1 (negative, so reverse the sign): x > −4
12.Solve: −2x − 9 ≤ −19
Answer: x ≥ 5
- Add 9: −2x ≤ −10
- Divide by −2 (negative, so reverse the sign): x ≥ 5
Marking tips
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