7th Grade Solving Linear Inequalities Worksheet — Level 2 — Practice Set 4 — 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 — Practice Set 4 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 6x + 7 ≤ −23
Answer: x ≤ −5
- Subtract 7: 6x ≤ −30
- Divide by 6: x ≤ −5
2.Solve: 5x + 3 ≤ −37
Answer: x ≤ −8
- Subtract 3: 5x ≤ −40
- Divide by 5: x ≤ −8
3.Solve: 2x − 9 > −25
Answer: x > −8
- Add 9: 2x > −16
- Divide by 2: x > −8
4.Solve: 4x − 7 ≥ 17
Answer: x ≥ 6
- Add 7: 4x ≥ 24
- Divide by 4: x ≥ 6
5.Solve: 3x + 1 ≤ 13
Answer: x ≤ 4
- Subtract 1: 3x ≤ 12
- Divide by 3: x ≤ 4
6.Solve: 2x − 6 > 12
Answer: x > 9
- Add 6: 2x > 18
- Divide by 2: x > 9
7.Solve: 3x + 11 ≤ −13
Answer: x ≤ −8
- Subtract 11: 3x ≤ −24
- Divide by 3: x ≤ −8
8.Solve: 7x − 9 > 33
Answer: x > 6
- Add 9: 7x > 42
- Divide by 7: x > 6
9.Solve: 2x − 2 < 22
Answer: x < 12
- Add 2: 2x < 24
- Divide by 2: x < 12
10.Solve: 4x + 5 ≥ −15
Answer: x ≥ −5
- Subtract 5: 4x ≥ −20
- Divide by 4: x ≥ −5
11.Solve: 6x + 5 < 41
Answer: x < 6
- Subtract 5: 6x < 36
- Divide by 6: x < 6
12.Solve: 5x + 1 > 21
Answer: x > 4
- Subtract 1: 5x > 20
- Divide by 5: x > 4
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.
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