Year 10 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear EquationsYear 10 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: −6x − 7 < −61
Answer: x > 9
- Add 7: −6x < −54
- Divide by −6 (negative, so reverse the sign): x > 9
2.Solve: 2x − 1 ≤ −1
Answer: x ≤ 0
- Add 1: 2x ≤ 0
- Divide by 2: x ≤ 0
3.Solve: 4x + 7 > −25
Answer: x > −8
- Subtract 7: 4x > −32
- Divide by 4: x > −8
4.Solve: 2x − 7 ≥ −13
Answer: x ≥ −3
- Add 7: 2x ≥ −6
- Divide by 2: x ≥ −3
5.Solve: −2x − 3 < 11
Answer: x > −7
- Add 3: −2x < 14
- Divide by −2 (negative, so reverse the sign): x > −7
6.Solve: −5x + 5 > −5
Answer: x < 2
- Subtract 5: −5x > −10
- Divide by −5 (negative, so reverse the sign): x < 2
7.Solve: 2x − 10 < 2
Answer: x < 6
- Add 10: 2x < 12
- Divide by 2: x < 6
8.Solve: 5x − 2 ≤ −22
Answer: x ≤ −4
- Add 2: 5x ≤ −20
- Divide by 5: x ≤ −4
9.Solve: 4x + 5 ≤ 13
Answer: x ≤ 2
- Subtract 5: 4x ≤ 8
- Divide by 4: x ≤ 2
10.Solve: −6x + 11 > 11
Answer: x < 0
- Subtract 11: −6x > 0
- Divide by −6 (negative, so reverse the sign): x < 0
11.Solve: −5x − 9 > 1
Answer: x < −2
- Add 9: −5x > 10
- Divide by −5 (negative, so reverse the sign): x < −2
12.Solve: 6x + 8 < 14
Answer: x < 1
- Subtract 8: 6x < 6
- Divide by 6: x < 1
Marking tips
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