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 + 5 ≤ 17
Answer: x ≤ 2
- Subtract 5: 6x ≤ 12
- Divide by 6: x ≤ 2
2.Solve: x − 6 ≥ 1
Answer: x ≥ 7
- Add 6: x ≥ 7
- Divide by 1: x ≥ 7
3.Solve: 2x − 9 ≥ 13
Answer: x ≥ 11
- Add 9: 2x ≥ 22
- Divide by 2: x ≥ 11
4.Solve: x + 1 < 3
Answer: x < 2
- Subtract 1: x < 2
- Divide by 1: x < 2
5.Solve: 4x − 3 ≥ −11
Answer: x ≥ −2
- Add 3: 4x ≥ −8
- Divide by 4: x ≥ −2
6.Solve: 4x − 6 > 22
Answer: x > 7
- Add 6: 4x > 28
- Divide by 4: x > 7
7.Solve: 4x + 11 ≥ 51
Answer: x ≥ 10
- Subtract 11: 4x ≥ 40
- Divide by 4: x ≥ 10
8.Solve: 2x − 3 ≤ −15
Answer: x ≤ −6
- Add 3: 2x ≤ −12
- Divide by 2: x ≤ −6
9.Solve: 6x − 8 ≥ −44
Answer: x ≥ −6
- Add 8: 6x ≥ −36
- Divide by 6: x ≥ −6
10.Solve: 5x + 3 > 38
Answer: x > 7
- Subtract 3: 5x > 35
- Divide by 5: x > 7
11.Solve: −6x + 6 ≤ −30
Answer: x ≥ 6
- Subtract 6: −6x ≤ −36
- Divide by −6 (negative, so reverse the sign): x ≥ 6
12.Solve: 4x + 11 ≤ 19
Answer: x ≤ 2
- Subtract 11: 4x ≤ 8
- Divide by 4: x ≤ 2
Marking tips
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