Year 10 Solving Linear Inequalities Worksheet — Level 1 — 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 1 — Answers
Solve each inequality the same way you would solve an equation.
1.7x < 35
Answer: x < 5
- Divide both sides by 7 (positive, so the sign stays): x < 5
2.x + 7 < 3
Answer: x < −4
- Subtract 7 on both sides: x < 3 − 7 = −4
3.7x ≥ 63
Answer: x ≥ 9
- Divide both sides by 7 (positive, so the sign stays): x ≥ 9
4.x + 7 < 4
Answer: x < −3
- Subtract 7 on both sides: x < 4 − 7 = −3
5.x + 1 ≤ 7
Answer: x ≤ 6
- Subtract 1 on both sides: x ≤ 7 − 1 = 6
6.x + 4 ≤ 6
Answer: x ≤ 2
- Subtract 4 on both sides: x ≤ 6 − 4 = 2
7.9x ≥ 72
Answer: x ≥ 8
- Divide both sides by 9 (positive, so the sign stays): x ≥ 8
8.x − 7 ≤ 0
Answer: x ≤ 7
- Add 7 on both sides: x ≤ 0 + 7 = 7
9.x + 4 ≥ 12
Answer: x ≥ 8
- Subtract 4 on both sides: x ≥ 12 − 4 = 8
10.x + 3 < −3
Answer: x < −6
- Subtract 3 on both sides: x < −3 − 3 = −6
11.5x < 35
Answer: x < 7
- Divide both sides by 5 (positive, so the sign stays): x < 7
12.4x ≥ 20
Answer: x ≥ 5
- Divide both sides by 4 (positive, so the sign stays): x ≥ 5
Marking tips
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