Year 8 Solving Linear Inequalities Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 8 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Linear EquationsYear 8 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: 6x − 9 > 3
Answer: x > 2
- Add 9: 6x > 12
- Divide by 6: x > 2
2.Solve: −3x − 2 < 7
Answer: x > −3
- Add 2: −3x < 9
- Divide by −3 (negative, so reverse the sign): x > −3
3.Solve: −4x − 12 < −16
Answer: x > 1
- Add 12: −4x < −4
- Divide by −4 (negative, so reverse the sign): x > 1
4.Solve: 6x + 5 ≤ 35
Answer: x ≤ 5
- Subtract 5: 6x ≤ 30
- Divide by 6: x ≤ 5
5.Solve: −x + 8 > 7
Answer: x < 1
- Subtract 8: −x > −1
- Divide by −1 (negative, so reverse the sign): x < 1
6.Solve: 4x − 3 < 13
Answer: x < 4
- Add 3: 4x < 16
- Divide by 4: x < 4
7.Solve: 3x + 3 ≤ 33
Answer: x ≤ 10
- Subtract 3: 3x ≤ 30
- Divide by 3: x ≤ 10
8.Solve: −5x + 1 > −19
Answer: x < 4
- Subtract 1: −5x > −20
- Divide by −5 (negative, so reverse the sign): x < 4
9.Solve: 6x + 12 ≥ −36
Answer: x ≥ −8
- Subtract 12: 6x ≥ −48
- Divide by 6: x ≥ −8
10.Solve: x − 3 ≥ 3
Answer: x ≥ 6
- Add 3: x ≥ 6
- Divide by 1: x ≥ 6
11.Solve: 4x − 6 < 26
Answer: x < 8
- Add 6: 4x < 32
- Divide by 4: x < 8
12.Solve: −3x − 5 < 7
Answer: x > −4
- Add 5: −3x < 12
- Divide by −3 (negative, so reverse the sign): x > −4
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