7th Grade Solving Linear Inequalities Worksheet — Level 3 — 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 3 — Practice Set 3 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: −6x − 5 ≤ 37
Answer: x ≥ −7
- Add 5: −6x ≤ 42
- Divide by −6 (negative, so reverse the sign): x ≥ −7
2.Solve: −x + 8 > 6
Answer: x < 2
- Subtract 8: −x > −2
- Divide by −1 (negative, so reverse the sign): x < 2
3.Solve: 5x − 11 ≥ 39
Answer: x ≥ 10
- Add 11: 5x ≥ 50
- Divide by 5: x ≥ 10
4.Solve: 4x − 8 < 36
Answer: x < 11
- Add 8: 4x < 44
- Divide by 4: x < 11
5.Solve: −6x + 9 < 39
Answer: x > −5
- Subtract 9: −6x < 30
- Divide by −6 (negative, so reverse the sign): x > −5
6.Solve: 3x + 6 ≥ 9
Answer: x ≥ 1
- Subtract 6: 3x ≥ 3
- Divide by 3: x ≥ 1
7.Solve: −6x + 7 ≤ −29
Answer: x ≥ 6
- Subtract 7: −6x ≤ −36
- Divide by −6 (negative, so reverse the sign): x ≥ 6
8.Solve: 4x − 3 ≤ −27
Answer: x ≤ −6
- Add 3: 4x ≤ −24
- Divide by 4: x ≤ −6
9.Solve: −x + 9 ≤ 16
Answer: x ≥ −7
- Subtract 9: −x ≤ 7
- Divide by −1 (negative, so reverse the sign): x ≥ −7
10.Solve: 6x − 6 ≤ −60
Answer: x ≤ −9
- Add 6: 6x ≤ −54
- Divide by 6: x ≤ −9
11.Solve: 2x − 8 > −4
Answer: x > 2
- Add 8: 2x > 4
- Divide by 2: x > 2
12.Solve: −4x − 7 < −3
Answer: x > −1
- Add 7: −4x < 4
- Divide by −4 (negative, so reverse the sign): x > −1
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