7th Grade Solving Linear Inequalities Worksheet — Level 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 3 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: 5x + 3 ≤ 38
Answer: x ≤ 7
- Subtract 3: 5x ≤ 35
- Divide by 5: x ≤ 7
2.Solve: −3x + 6 > 30
Answer: x < −8
- Subtract 6: −3x > 24
- Divide by −3 (negative, so reverse the sign): x < −8
3.Solve: −4x − 10 ≤ −22
Answer: x ≥ 3
- Add 10: −4x ≤ −12
- Divide by −4 (negative, so reverse the sign): x ≥ 3
4.Solve: 3x + 12 ≤ −3
Answer: x ≤ −5
- Subtract 12: 3x ≤ −15
- Divide by 3: x ≤ −5
5.Solve: 5x − 7 < −2
Answer: x < 1
- Add 7: 5x < 5
- Divide by 5: x < 1
6.Solve: 6x − 3 ≥ −15
Answer: x ≥ −2
- Add 3: 6x ≥ −12
- Divide by 6: x ≥ −2
7.Solve: −2x − 10 > −16
Answer: x < 3
- Add 10: −2x > −6
- Divide by −2 (negative, so reverse the sign): x < 3
8.Solve: −6x + 5 > −19
Answer: x < 4
- Subtract 5: −6x > −24
- Divide by −6 (negative, so reverse the sign): x < 4
9.Solve: −5x + 7 < −8
Answer: x > 3
- Subtract 7: −5x < −15
- Divide by −5 (negative, so reverse the sign): x > 3
10.Solve: 3x − 2 > 31
Answer: x > 11
- Add 2: 3x > 33
- Divide by 3: x > 11
11.Solve: −4x + 11 ≥ 27
Answer: x ≤ −4
- Subtract 11: −4x ≥ 16
- Divide by −4 (negative, so reverse the sign): x ≤ −4
12.Solve: −2x + 10 ≥ −10
Answer: x ≤ 10
- Subtract 10: −2x ≥ −20
- Divide by −2 (negative, so reverse the sign): x ≤ 10
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