8th Grade Solving Linear Inequalities Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 8th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Linear Equations8th Grade Solving Linear Inequalities Worksheet — Level 2 — Practice Set 4 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 4x − 1 > 7
Answer: x > 2
- Add 1: 4x > 8
- Divide by 4: x > 2
2.Solve: 4x + 12 > −16
Answer: x > −7
- Subtract 12: 4x > −28
- Divide by 4: x > −7
3.Solve: 6x − 5 ≥ −35
Answer: x ≥ −5
- Add 5: 6x ≥ −30
- Divide by 6: x ≥ −5
4.Solve: 2x − 6 < −20
Answer: x < −7
- Add 6: 2x < −14
- Divide by 2: x < −7
5.Solve: 5x + 7 ≥ 12
Answer: x ≥ 1
- Subtract 7: 5x ≥ 5
- Divide by 5: x ≥ 1
6.Solve: 3x + 10 < 40
Answer: x < 10
- Subtract 10: 3x < 30
- Divide by 3: x < 10
7.Solve: 5x − 2 ≥ −32
Answer: x ≥ −6
- Add 2: 5x ≥ −30
- Divide by 5: x ≥ −6
8.Solve: 3x − 7 ≤ −34
Answer: x ≤ −9
- Add 7: 3x ≤ −27
- Divide by 3: x ≤ −9
9.Solve: 2x + 9 ≥ 11
Answer: x ≥ 1
- Subtract 9: 2x ≥ 2
- Divide by 2: x ≥ 1
10.Solve: 6x + 3 ≤ 9
Answer: x ≤ 1
- Subtract 3: 6x ≤ 6
- Divide by 6: x ≤ 1
11.Solve: 5x + 8 < −27
Answer: x < −7
- Subtract 8: 5x < −35
- Divide by 5: x < −7
12.Solve: 4x + 5 < 45
Answer: x < 10
- Subtract 5: 4x < 40
- Divide by 4: x < 10
Marking tips
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