Year 10 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: −x − 8 > −4
Answer: x < −4
- Add 8: −x > 4
- Divide by −1 (negative, so reverse the sign): x < −4
2.Solve: 4x − 9 ≤ 3
Answer: x ≤ 3
- Add 9: 4x ≤ 12
- Divide by 4: x ≤ 3
3.Solve: 2x + 9 > 25
Answer: x > 8
- Subtract 9: 2x > 16
- Divide by 2: x > 8
4.Solve: −3x − 9 ≥ 18
Answer: x ≤ −9
- Add 9: −3x ≥ 27
- Divide by −3 (negative, so reverse the sign): x ≤ −9
5.Solve: 2x − 2 ≤ 4
Answer: x ≤ 3
- Add 2: 2x ≤ 6
- Divide by 2: x ≤ 3
6.Solve: −5x + 4 ≤ 9
Answer: x ≥ −1
- Subtract 4: −5x ≤ 5
- Divide by −5 (negative, so reverse the sign): x ≥ −1
7.Solve: −x + 12 ≤ 13
Answer: x ≥ −1
- Subtract 12: −x ≤ 1
- Divide by −1 (negative, so reverse the sign): x ≥ −1
8.Solve: −3x − 11 ≥ −14
Answer: x ≤ 1
- Add 11: −3x ≥ −3
- Divide by −3 (negative, so reverse the sign): x ≤ 1
9.Solve: x + 4 ≤ 4
Answer: x ≤ 0
- Subtract 4: x ≤ 0
- Divide by 1: x ≤ 0
10.Solve: −3x − 4 ≥ 17
Answer: x ≤ −7
- Add 4: −3x ≥ 21
- Divide by −3 (negative, so reverse the sign): x ≤ −7
11.Solve: 2x + 10 > 14
Answer: x > 2
- Subtract 10: 2x > 4
- Divide by 2: x > 2
12.Solve: −6x + 9 ≥ 27
Answer: x ≤ −3
- Subtract 9: −6x ≥ 18
- Divide by −6 (negative, so reverse the sign): x ≤ −3
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