Year 7 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: 4x + 11 ≥ −13
Answer: x ≥ −6
- Subtract 11: 4x ≥ −24
- Divide by 4: x ≥ −6
2.Solve: 4x + 2 > 30
Answer: x > 7
- Subtract 2: 4x > 28
- Divide by 4: x > 7
3.Solve: −5x − 6 ≥ −51
Answer: x ≤ 9
- Add 6: −5x ≥ −45
- Divide by −5 (negative, so reverse the sign): x ≤ 9
4.Solve: 6x + 5 ≥ 59
Answer: x ≥ 9
- Subtract 5: 6x ≥ 54
- Divide by 6: x ≥ 9
5.Solve: −4x − 4 ≥ −16
Answer: x ≤ 3
- Add 4: −4x ≥ −12
- Divide by −4 (negative, so reverse the sign): x ≤ 3
6.Solve: −6x − 12 < −36
Answer: x > 4
- Add 12: −6x < −24
- Divide by −6 (negative, so reverse the sign): x > 4
7.Solve: 3x + 12 > 36
Answer: x > 8
- Subtract 12: 3x > 24
- Divide by 3: x > 8
8.Solve: 5x − 8 < −13
Answer: x < −1
- Add 8: 5x < −5
- Divide by 5: x < −1
9.Solve: 2x − 4 ≤ 16
Answer: x ≤ 10
- Add 4: 2x ≤ 20
- Divide by 2: x ≤ 10
10.Solve: −3x − 10 ≤ 17
Answer: x ≥ −9
- Add 10: −3x ≤ 27
- Divide by −3 (negative, so reverse the sign): x ≥ −9
11.Solve: 5x + 5 ≥ −10
Answer: x ≥ −3
- Subtract 5: 5x ≥ −15
- Divide by 5: x ≥ −3
12.Solve: −4x + 4 > 32
Answer: x < −7
- Subtract 4: −4x > 28
- Divide by −4 (negative, so reverse the sign): x < −7
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