Year 10 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: −6x + 3 ≥ −21
Answer: x ≤ 4
- Subtract 3: −6x ≥ −24
- Divide by −6 (negative, so reverse the sign): x ≤ 4
2.Solve: −6x + 2 ≤ 38
Answer: x ≥ −6
- Subtract 2: −6x ≤ 36
- Divide by −6 (negative, so reverse the sign): x ≥ −6
3.Solve: x − 6 ≥ −2
Answer: x ≥ 4
- Add 6: x ≥ 4
- Divide by 1: x ≥ 4
4.Solve: 2x + 9 < −7
Answer: x < −8
- Subtract 9: 2x < −16
- Divide by 2: x < −8
5.Solve: 3x + 7 < −5
Answer: x < −4
- Subtract 7: 3x < −12
- Divide by 3: x < −4
6.Solve: −6x − 4 > 26
Answer: x < −5
- Add 4: −6x > 30
- Divide by −6 (negative, so reverse the sign): x < −5
7.Solve: 5x − 2 < 33
Answer: x < 7
- Add 2: 5x < 35
- Divide by 5: x < 7
8.Solve: −5x − 6 < −16
Answer: x > 2
- Add 6: −5x < −10
- Divide by −5 (negative, so reverse the sign): x > 2
9.Solve: 6x − 6 < −18
Answer: x < −2
- Add 6: 6x < −12
- Divide by 6: x < −2
10.Solve: 2x + 7 ≤ 21
Answer: x ≤ 7
- Subtract 7: 2x ≤ 14
- Divide by 2: x ≤ 7
11.Solve: −x + 11 ≤ 6
Answer: x ≥ 5
- Subtract 11: −x ≤ −5
- Divide by −1 (negative, so reverse the sign): x ≥ 5
12.Solve: −6x − 8 ≥ −2
Answer: x ≤ −1
- Add 8: −6x ≥ 6
- Divide by −6 (negative, so reverse the sign): x ≤ −1
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