10th Grade Solving Linear Inequalities Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 10th Grade linear equations worksheet.
10th Grade Solving Linear Inequalities Worksheet — Level 2 — Practice Set 4 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 6x + 11 ≥ −25
Answer: x ≥ −6
- Subtract 11: 6x ≥ −36
- Divide by 6: x ≥ −6
2.Solve: 7x − 8 > 62
Answer: x > 10
- Add 8: 7x > 70
- Divide by 7: x > 10
3.Solve: 3x + 11 > −16
Answer: x > −9
- Subtract 11: 3x > −27
- Divide by 3: x > −9
4.Solve: 5x − 10 > −10
Answer: x > 0
- Add 10: 5x > 0
- Divide by 5: x > 0
5.Solve: 7x + 8 ≥ 50
Answer: x ≥ 6
- Subtract 8: 7x ≥ 42
- Divide by 7: x ≥ 6
6.Solve: 3x + 6 ≤ 30
Answer: x ≤ 8
- Subtract 6: 3x ≤ 24
- Divide by 3: x ≤ 8
7.Solve: 3x + 9 < 0
Answer: x < −3
- Subtract 9: 3x < −9
- Divide by 3: x < −3
8.Solve: 5x − 9 ≥ −44
Answer: x ≥ −7
- Add 9: 5x ≥ −35
- Divide by 5: x ≥ −7
9.Solve: 6x − 6 > −12
Answer: x > −1
- Add 6: 6x > −6
- Divide by 6: x > −1
10.Solve: 4x − 12 < −8
Answer: x < 1
- Add 12: 4x < 4
- Divide by 4: x < 1
11.Solve: 4x + 4 < −16
Answer: x < −5
- Subtract 4: 4x < −20
- Divide by 4: x < −5
12.Solve: 3x + 8 < 2
Answer: x < −2
- Subtract 8: 3x < −6
- Divide by 3: x < −2
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.