Year 10 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: 4x + 11 ≤ 11
Answer: x ≤ 0
- Subtract 11: 4x ≤ 0
- Divide by 4: x ≤ 0
2.Solve: x − 1 < 0
Answer: x < 1
- Add 1: x < 1
- Divide by 1: x < 1
3.Solve: −3x + 8 ≤ −16
Answer: x ≥ 8
- Subtract 8: −3x ≤ −24
- Divide by −3 (negative, so reverse the sign): x ≥ 8
4.Solve: −2x + 4 ≤ 12
Answer: x ≥ −4
- Subtract 4: −2x ≤ 8
- Divide by −2 (negative, so reverse the sign): x ≥ −4
5.Solve: x + 12 ≤ 11
Answer: x ≤ −1
- Subtract 12: x ≤ −1
- Divide by 1: x ≤ −1
6.Solve: 6x − 4 ≤ 44
Answer: x ≤ 8
- Add 4: 6x ≤ 48
- Divide by 6: x ≤ 8
7.Solve: 2x − 8 ≤ 6
Answer: x ≤ 7
- Add 8: 2x ≤ 14
- Divide by 2: x ≤ 7
8.Solve: −4x + 10 > 10
Answer: x < 0
- Subtract 10: −4x > 0
- Divide by −4 (negative, so reverse the sign): x < 0
9.Solve: 3x − 1 ≤ −16
Answer: x ≤ −5
- Add 1: 3x ≤ −15
- Divide by 3: x ≤ −5
10.Solve: −x − 1 > 6
Answer: x < −7
- Add 1: −x > 7
- Divide by −1 (negative, so reverse the sign): x < −7
11.Solve: 5x + 5 ≤ 35
Answer: x ≤ 6
- Subtract 5: 5x ≤ 30
- Divide by 5: x ≤ 6
12.Solve: 6x + 8 < 50
Answer: x < 7
- Subtract 8: 6x < 42
- Divide by 6: x < 7
Marking tips
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