7th Grade Solving Linear Inequalities Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the 7th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Linear Equations7th Grade Solving Linear Inequalities Worksheet — Level 2 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 6x + 6 < 66
Answer: x < 10
- Subtract 6: 6x < 60
- Divide by 6: x < 10
2.Solve: 4x + 1 ≤ 37
Answer: x ≤ 9
- Subtract 1: 4x ≤ 36
- Divide by 4: x ≤ 9
3.Solve: 6x + 9 < 81
Answer: x < 12
- Subtract 9: 6x < 72
- Divide by 6: x < 12
4.Solve: 6x − 7 ≤ 23
Answer: x ≤ 5
- Add 7: 6x ≤ 30
- Divide by 6: x ≤ 5
5.Solve: 2x + 6 ≤ 18
Answer: x ≤ 6
- Subtract 6: 2x ≤ 12
- Divide by 2: x ≤ 6
6.Solve: 5x + 2 > 27
Answer: x > 5
- Subtract 2: 5x > 25
- Divide by 5: x > 5
7.Solve: 6x + 5 ≤ −43
Answer: x ≤ −8
- Subtract 5: 6x ≤ −48
- Divide by 6: x ≤ −8
8.Solve: 2x − 7 > −7
Answer: x > 0
- Add 7: 2x > 0
- Divide by 2: x > 0
9.Solve: 2x − 7 ≤ 5
Answer: x ≤ 6
- Add 7: 2x ≤ 12
- Divide by 2: x ≤ 6
10.Solve: 4x − 2 ≤ 10
Answer: x ≤ 3
- Add 2: 4x ≤ 12
- Divide by 4: x ≤ 3
11.Solve: 2x − 9 > 1
Answer: x > 5
- Add 9: 2x > 10
- Divide by 2: x > 5
12.Solve: 5x + 11 > 26
Answer: x > 3
- Subtract 11: 5x > 15
- Divide by 5: x > 3
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.