Year 10 Solving Linear Inequalities Worksheet — Level 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 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: 2x + 9 > 11
Answer: x > 1
- Subtract 9: 2x > 2
- Divide by 2: x > 1
2.Solve: 4x + 1 ≤ −11
Answer: x ≤ −3
- Subtract 1: 4x ≤ −12
- Divide by 4: x ≤ −3
3.Solve: −x + 7 ≥ 10
Answer: x ≤ −3
- Subtract 7: −x ≥ 3
- Divide by −1 (negative, so reverse the sign): x ≤ −3
4.Solve: −4x − 12 ≤ −32
Answer: x ≥ 5
- Add 12: −4x ≤ −20
- Divide by −4 (negative, so reverse the sign): x ≥ 5
5.Solve: 2x + 7 ≤ 3
Answer: x ≤ −2
- Subtract 7: 2x ≤ −4
- Divide by 2: x ≤ −2
6.Solve: −2x + 9 > −7
Answer: x < 8
- Subtract 9: −2x > −16
- Divide by −2 (negative, so reverse the sign): x < 8
7.Solve: 6x + 3 ≥ 75
Answer: x ≥ 12
- Subtract 3: 6x ≥ 72
- Divide by 6: x ≥ 12
8.Solve: x − 6 > 3
Answer: x > 9
- Add 6: x > 9
- Divide by 1: x > 9
9.Solve: −5x + 4 < 34
Answer: x > −6
- Subtract 4: −5x < 30
- Divide by −5 (negative, so reverse the sign): x > −6
10.Solve: −x − 11 ≤ −19
Answer: x ≥ 8
- Add 11: −x ≤ −8
- Divide by −1 (negative, so reverse the sign): x ≥ 8
11.Solve: −4x + 6 < 26
Answer: x > −5
- Subtract 6: −4x < 20
- Divide by −4 (negative, so reverse the sign): x > −5
12.Solve: 2x + 3 > 13
Answer: x > 5
- Subtract 3: 2x > 10
- Divide by 2: x > 5
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