8th Grade Solving Linear Inequalities Worksheet — Level 1 — 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 1 — Practice Set 4 — Answers
Solve each inequality the same way you would solve an equation.
1.9x ≤ −63
Answer: x ≤ −7
- Divide both sides by 9 (positive, so the sign stays): x ≤ −7
2.x − 9 ≥ −7
Answer: x ≥ 2
- Add 9 on both sides: x ≥ −7 + 9 = 2
3.x − 4 < 4
Answer: x < 8
- Add 4 on both sides: x < 4 + 4 = 8
4.x − 1 ≥ −5
Answer: x ≥ −4
- Add 1 on both sides: x ≥ −5 + 1 = −4
5.x + 6 ≤ 11
Answer: x ≤ 5
- Subtract 6 on both sides: x ≤ 11 − 6 = 5
6.x + 5 > 9
Answer: x > 4
- Subtract 5 on both sides: x > 9 − 5 = 4
7.2x ≤ −4
Answer: x ≤ −2
- Divide both sides by 2 (positive, so the sign stays): x ≤ −2
8.x − 6 > −6
Answer: x > 0
- Add 6 on both sides: x > −6 + 6 = 0
9.x + 9 < 15
Answer: x < 6
- Subtract 9 on both sides: x < 15 − 9 = 6
10.2x > −2
Answer: x > −1
- Divide both sides by 2 (positive, so the sign stays): x > −1
11.2x < 8
Answer: x < 4
- Divide both sides by 2 (positive, so the sign stays): x < 4
12.7x ≤ −35
Answer: x ≤ −5
- Divide both sides by 7 (positive, so the sign stays): x ≤ −5
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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