7th Grade Solving Linear Inequalities Worksheet — Level 2 — Practice Set 3 — 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 3 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 3x + 9 ≤ 0
Answer: x ≤ −3
- Subtract 9: 3x ≤ −9
- Divide by 3: x ≤ −3
2.Solve: 6x + 3 ≥ 9
Answer: x ≥ 1
- Subtract 3: 6x ≥ 6
- Divide by 6: x ≥ 1
3.Solve: 2x − 9 > −21
Answer: x > −6
- Add 9: 2x > −12
- Divide by 2: x > −6
4.Solve: 3x + 11 > 38
Answer: x > 9
- Subtract 11: 3x > 27
- Divide by 3: x > 9
5.Solve: 7x − 10 ≤ −73
Answer: x ≤ −9
- Add 10: 7x ≤ −63
- Divide by 7: x ≤ −9
6.Solve: 5x + 6 ≤ 41
Answer: x ≤ 7
- Subtract 6: 5x ≤ 35
- Divide by 5: x ≤ 7
7.Solve: 2x − 10 < −28
Answer: x < −9
- Add 10: 2x < −18
- Divide by 2: x < −9
8.Solve: 3x + 4 > 22
Answer: x > 6
- Subtract 4: 3x > 18
- Divide by 3: x > 6
9.Solve: 5x + 3 ≥ −42
Answer: x ≥ −9
- Subtract 3: 5x ≥ −45
- Divide by 5: x ≥ −9
10.Solve: 3x + 5 ≥ 23
Answer: x ≥ 6
- Subtract 5: 3x ≥ 18
- Divide by 3: x ≥ 6
11.Solve: 5x − 12 > −12
Answer: x > 0
- Add 12: 5x > 0
- Divide by 5: x > 0
12.Solve: 3x − 11 ≥ −17
Answer: x ≥ −2
- Add 11: 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.
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