Year 7 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 7 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Linear EquationsYear 7 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 2 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: x − 8 > 1
Answer: x > 9
- Add 8: x > 9
- Divide by 1: x > 9
2.Solve: 6x + 9 ≤ −21
Answer: x ≤ −5
- Subtract 9: 6x ≤ −30
- Divide by 6: x ≤ −5
3.Solve: 4x + 6 > −10
Answer: x > −4
- Subtract 6: 4x > −16
- Divide by 4: x > −4
4.Solve: 6x + 6 ≤ 54
Answer: x ≤ 8
- Subtract 6: 6x ≤ 48
- Divide by 6: x ≤ 8
5.Solve: −3x + 5 ≥ 8
Answer: x ≤ −1
- Subtract 5: −3x ≥ 3
- Divide by −3 (negative, so reverse the sign): x ≤ −1
6.Solve: −2x − 7 < 7
Answer: x > −7
- Add 7: −2x < 14
- Divide by −2 (negative, so reverse the sign): x > −7
7.Solve: 3x − 2 < −17
Answer: x < −5
- Add 2: 3x < −15
- Divide by 3: x < −5
8.Solve: 6x − 1 ≥ −43
Answer: x ≥ −7
- Add 1: 6x ≥ −42
- Divide by 6: x ≥ −7
9.Solve: −x − 11 > −4
Answer: x < −7
- Add 11: −x > 7
- Divide by −1 (negative, so reverse the sign): x < −7
10.Solve: −3x − 1 < −16
Answer: x > 5
- Add 1: −3x < −15
- Divide by −3 (negative, so reverse the sign): x > 5
11.Solve: x + 4 < 3
Answer: x < −1
- Subtract 4: x < −1
- Divide by 1: x < −1
12.Solve: x − 8 > −13
Answer: x > −5
- Add 8: x > −5
- Divide by 1: x > −5
Marking tips
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