8th Grade Solving Linear Inequalities Worksheet — Level 1 — 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 1 — Answers
Solve each inequality the same way you would solve an equation.
1.5x ≥ −45
Answer: x ≥ −9
- Divide both sides by 5 (positive, so the sign stays): x ≥ −9
2.x + 7 ≥ 16
Answer: x ≥ 9
- Subtract 7 on both sides: x ≥ 16 − 7 = 9
3.x + 8 > 3
Answer: x > −5
- Subtract 8 on both sides: x > 3 − 8 = −5
4.x − 7 ≥ −13
Answer: x ≥ −6
- Add 7 on both sides: x ≥ −13 + 7 = −6
5.x + 7 ≥ 9
Answer: x ≥ 2
- Subtract 7 on both sides: x ≥ 9 − 7 = 2
6.3x ≥ −18
Answer: x ≥ −6
- Divide both sides by 3 (positive, so the sign stays): x ≥ −6
7.x − 2 ≤ 8
Answer: x ≤ 10
- Add 2 on both sides: x ≤ 8 + 2 = 10
8.7x > −63
Answer: x > −9
- Divide both sides by 7 (positive, so the sign stays): x > −9
9.5x > 25
Answer: x > 5
- Divide both sides by 5 (positive, so the sign stays): x > 5
10.x − 3 > 6
Answer: x > 9
- Add 3 on both sides: x > 6 + 3 = 9
11.4x > 24
Answer: x > 6
- Divide both sides by 4 (positive, so the sign stays): x > 6
12.3x < 0
Answer: x < 0
- Divide both sides by 3 (positive, so the sign stays): x < 0
Marking tips
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