Year 9 Solving Linear Inequalities Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear EquationsYear 9 Solving Linear Inequalities Worksheet — Level 1 — Answers
Solve each inequality the same way you would solve an equation.
1.x + 4 ≥ 14
Answer: x ≥ 10
- Subtract 4 on both sides: x ≥ 14 − 4 = 10
2.6x ≥ 54
Answer: x ≥ 9
- Divide both sides by 6 (positive, so the sign stays): x ≥ 9
3.x + 1 ≤ 0
Answer: x ≤ −1
- Subtract 1 on both sides: x ≤ 0 − 1 = −1
4.x − 9 < −4
Answer: x < 5
- Add 9 on both sides: x < −4 + 9 = 5
5.x − 7 < −2
Answer: x < 5
- Add 7 on both sides: x < −2 + 7 = 5
6.x + 2 ≥ 8
Answer: x ≥ 6
- Subtract 2 on both sides: x ≥ 8 − 2 = 6
7.3x ≤ −3
Answer: x ≤ −1
- Divide both sides by 3 (positive, so the sign stays): x ≤ −1
8.x − 2 < 6
Answer: x < 8
- Add 2 on both sides: x < 6 + 2 = 8
9.6x ≤ −54
Answer: x ≤ −9
- Divide both sides by 6 (positive, so the sign stays): x ≤ −9
10.x − 4 > 8
Answer: x > 12
- Add 4 on both sides: x > 8 + 4 = 12
11.5x < 45
Answer: x < 9
- Divide both sides by 5 (positive, so the sign stays): x < 9
12.7x > 14
Answer: x > 2
- Divide both sides by 7 (positive, so the sign stays): x > 2
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
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