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 + 3 < 47
Answer: x < 11
- Subtract 3: 4x < 44
- Divide by 4: x < 11
2.Solve: 4x + 11 < −1
Answer: x < −3
- Subtract 11: 4x < −12
- Divide by 4: x < −3
3.Solve: −5x − 3 < 27
Answer: x > −6
- Add 3: −5x < 30
- Divide by −5 (negative, so reverse the sign): x > −6
4.Solve: 3x − 11 > −26
Answer: x > −5
- Add 11: 3x > −15
- Divide by 3: x > −5
5.Solve: 2x − 2 > −6
Answer: x > −2
- Add 2: 2x > −4
- Divide by 2: x > −2
6.Solve: 5x − 4 < −4
Answer: x < 0
- Add 4: 5x < 0
- Divide by 5: x < 0
7.Solve: 6x − 3 ≤ −39
Answer: x ≤ −6
- Add 3: 6x ≤ −36
- Divide by 6: x ≤ −6
8.Solve: x − 7 < −13
Answer: x < −6
- Add 7: x < −6
- Divide by 1: x < −6
9.Solve: −3x − 8 > −26
Answer: x < 6
- Add 8: −3x > −18
- Divide by −3 (negative, so reverse the sign): x < 6
10.Solve: 2x + 10 > 16
Answer: x > 3
- Subtract 10: 2x > 6
- Divide by 2: x > 3
11.Solve: −3x + 1 > 22
Answer: x < −7
- Subtract 1: −3x > 21
- Divide by −3 (negative, so reverse the sign): x < −7
12.Solve: 4x + 10 > 10
Answer: x > 0
- Subtract 10: 4x > 0
- Divide by 4: x > 0
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.