7th Grade Solving Linear Inequalities Worksheet — Level 2 — Practice Set 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 — Practice Set 2 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 6x + 2 < −28
Answer: x < −5
- Subtract 2: 6x < −30
- Divide by 6: x < −5
2.Solve: 6x − 12 > −54
Answer: x > −7
- Add 12: 6x > −42
- Divide by 6: x > −7
3.Solve: 5x + 12 ≤ −8
Answer: x ≤ −4
- Subtract 12: 5x ≤ −20
- Divide by 5: x ≤ −4
4.Solve: 5x − 10 < −20
Answer: x < −2
- Add 10: 5x < −10
- Divide by 5: x < −2
5.Solve: 7x − 6 ≤ 29
Answer: x ≤ 5
- Add 6: 7x ≤ 35
- Divide by 7: x ≤ 5
6.Solve: 7x + 10 ≤ −11
Answer: x ≤ −3
- Subtract 10: 7x ≤ −21
- Divide by 7: x ≤ −3
7.Solve: 3x − 1 > −16
Answer: x > −5
- Add 1: 3x > −15
- Divide by 3: x > −5
8.Solve: 7x − 11 ≥ −74
Answer: x ≥ −9
- Add 11: 7x ≥ −63
- Divide by 7: x ≥ −9
9.Solve: 5x − 9 ≤ 51
Answer: x ≤ 12
- Add 9: 5x ≤ 60
- Divide by 5: x ≤ 12
10.Solve: 7x + 11 > 39
Answer: x > 4
- Subtract 11: 7x > 28
- Divide by 7: x > 4
11.Solve: 3x + 5 < −7
Answer: x < −4
- Subtract 5: 3x < −12
- Divide by 3: x < −4
12.Solve: 4x − 7 < 33
Answer: x < 10
- Add 7: 4x < 40
- Divide by 4: x < 10
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
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