Year 10 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 3 — 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 3 — Practice Set 3 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: −4x + 8 > 36
Answer: x < −7
- Subtract 8: −4x > 28
- Divide by −4 (negative, so reverse the sign): x < −7
2.Solve: 5x − 7 ≤ 43
Answer: x ≤ 10
- Add 7: 5x ≤ 50
- Divide by 5: x ≤ 10
3.Solve: −3x + 3 ≥ −24
Answer: x ≤ 9
- Subtract 3: −3x ≥ −27
- Divide by −3 (negative, so reverse the sign): x ≤ 9
4.Solve: 4x − 10 < −46
Answer: x < −9
- Add 10: 4x < −36
- Divide by 4: x < −9
5.Solve: −3x − 8 > −2
Answer: x < −2
- Add 8: −3x > 6
- Divide by −3 (negative, so reverse the sign): x < −2
6.Solve: −2x + 8 > −10
Answer: x < 9
- Subtract 8: −2x > −18
- Divide by −2 (negative, so reverse the sign): x < 9
7.Solve: x − 7 ≤ 4
Answer: x ≤ 11
- Add 7: x ≤ 11
- Divide by 1: x ≤ 11
8.Solve: 6x − 3 < −51
Answer: x < −8
- Add 3: 6x < −48
- Divide by 6: x < −8
9.Solve: −5x + 12 ≥ 32
Answer: x ≤ −4
- Subtract 12: −5x ≥ 20
- Divide by −5 (negative, so reverse the sign): x ≤ −4
10.Solve: −4x − 1 ≤ −17
Answer: x ≥ 4
- Add 1: −4x ≤ −16
- Divide by −4 (negative, so reverse the sign): x ≥ 4
11.Solve: −x + 10 < 0
Answer: x > 10
- Subtract 10: −x < −10
- Divide by −1 (negative, so reverse the sign): x > 10
12.Solve: x − 12 ≥ −20
Answer: x ≥ −8
- Add 12: x ≥ −8
- Divide by 1: x ≥ −8
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