8th Grade Solving Linear Inequalities Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the 8th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Linear Equations8th Grade Solving Linear Inequalities Worksheet — Level 2 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 7x − 11 < 45
Answer: x < 8
- Add 11: 7x < 56
- Divide by 7: x < 8
2.Solve: 5x − 10 > 10
Answer: x > 4
- Add 10: 5x > 20
- Divide by 5: x > 4
3.Solve: 2x − 6 > 6
Answer: x > 6
- Add 6: 2x > 12
- Divide by 2: x > 6
4.Solve: 4x + 11 < 35
Answer: x < 6
- Subtract 11: 4x < 24
- Divide by 4: x < 6
5.Solve: 3x + 7 ≤ 10
Answer: x ≤ 1
- Subtract 7: 3x ≤ 3
- Divide by 3: x ≤ 1
6.Solve: 6x − 5 ≥ 13
Answer: x ≥ 3
- Add 5: 6x ≥ 18
- Divide by 6: x ≥ 3
7.Solve: 6x + 3 > −9
Answer: x > −2
- Subtract 3: 6x > −12
- Divide by 6: x > −2
8.Solve: 3x + 10 < 7
Answer: x < −1
- Subtract 10: 3x < −3
- Divide by 3: x < −1
9.Solve: 5x + 7 > 2
Answer: x > −1
- Subtract 7: 5x > −5
- Divide by 5: x > −1
10.Solve: 6x − 8 > −2
Answer: x > 1
- Add 8: 6x > 6
- Divide by 6: x > 1
11.Solve: 2x − 2 > −12
Answer: x > −5
- Add 2: 2x > −10
- Divide by 2: x > −5
12.Solve: 7x + 6 ≤ −57
Answer: x ≤ −9
- Subtract 6: 7x ≤ −63
- Divide by 7: x ≤ −9
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.