Year 8 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 2 — 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 — Practice Set 2 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: −6x + 9 > 51
Answer: x < −7
- Subtract 9: −6x > 42
- Divide by −6 (negative, so reverse the sign): x < −7
2.Solve: −6x − 6 > −18
Answer: x < 2
- Add 6: −6x > −12
- Divide by −6 (negative, so reverse the sign): x < 2
3.Solve: 2x + 2 < 26
Answer: x < 12
- Subtract 2: 2x < 24
- Divide by 2: x < 12
4.Solve: −6x − 10 < −46
Answer: x > 6
- Add 10: −6x < −36
- Divide by −6 (negative, so reverse the sign): x > 6
5.Solve: 2x + 4 ≤ 10
Answer: x ≤ 3
- Subtract 4: 2x ≤ 6
- Divide by 2: x ≤ 3
6.Solve: 6x + 1 ≤ −47
Answer: x ≤ −8
- Subtract 1: 6x ≤ −48
- Divide by 6: x ≤ −8
7.Solve: −4x − 5 > −9
Answer: x < 1
- Add 5: −4x > −4
- Divide by −4 (negative, so reverse the sign): x < 1
8.Solve: −5x − 7 < −22
Answer: x > 3
- Add 7: −5x < −15
- Divide by −5 (negative, so reverse the sign): x > 3
9.Solve: x + 8 ≥ 18
Answer: x ≥ 10
- Subtract 8: x ≥ 10
- Divide by 1: x ≥ 10
10.Solve: 4x + 3 ≥ 27
Answer: x ≥ 6
- Subtract 3: 4x ≥ 24
- Divide by 4: x ≥ 6
11.Solve: −6x + 10 > 10
Answer: x < 0
- Subtract 10: −6x > 0
- Divide by −6 (negative, so reverse the sign): x < 0
12.Solve: −3x − 5 ≥ −11
Answer: x ≤ 2
- Add 5: −3x ≥ −6
- Divide by −3 (negative, so reverse the sign): x ≤ 2
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