8th Grade Solving Linear Inequalities Worksheet — Level 1 — Practice Set 2 — 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 — Practice Set 2 — Answers
Solve each inequality the same way you would solve an equation.
1.8x > 80
Answer: x > 10
- Divide both sides by 8 (positive, so the sign stays): x > 10
2.x − 6 > −13
Answer: x > −7
- Add 6 on both sides: x > −13 + 6 = −7
3.4x ≤ −4
Answer: x ≤ −1
- Divide both sides by 4 (positive, so the sign stays): x ≤ −1
4.8x < −16
Answer: x < −2
- Divide both sides by 8 (positive, so the sign stays): x < −2
5.x − 1 ≥ −5
Answer: x ≥ −4
- Add 1 on both sides: x ≥ −5 + 1 = −4
6.x − 1 ≥ −10
Answer: x ≥ −9
- Add 1 on both sides: x ≥ −10 + 1 = −9
7.9x ≤ −54
Answer: x ≤ −6
- Divide both sides by 9 (positive, so the sign stays): x ≤ −6
8.x − 6 ≤ −11
Answer: x ≤ −5
- Add 6 on both sides: x ≤ −11 + 6 = −5
9.8x ≥ 72
Answer: x ≥ 9
- Divide both sides by 8 (positive, so the sign stays): x ≥ 9
10.x − 5 ≤ −13
Answer: x ≤ −8
- Add 5 on both sides: x ≤ −13 + 5 = −8
11.9x > 18
Answer: x > 2
- Divide both sides by 9 (positive, so the sign stays): x > 2
12.9x ≤ −27
Answer: x ≤ −3
- Divide both sides by 9 (positive, so the sign stays): x ≤ −3
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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