7th Grade Solving Linear Inequalities Worksheet — Level 1 — Practice Set 2 — 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 1 — Practice Set 2 — Answers
Solve each inequality the same way you would solve an equation.
1.6x ≤ 0
Answer: x ≤ 0
- Divide both sides by 6 (positive, so the sign stays): x ≤ 0
2.x + 6 > 7
Answer: x > 1
- Subtract 6 on both sides: x > 7 − 6 = 1
3.9x > 63
Answer: x > 7
- Divide both sides by 9 (positive, so the sign stays): x > 7
4.x − 5 ≤ −2
Answer: x ≤ 3
- Add 5 on both sides: x ≤ −2 + 5 = 3
5.4x < 44
Answer: x < 11
- Divide both sides by 4 (positive, so the sign stays): x < 11
6.8x ≥ 56
Answer: x ≥ 7
- Divide both sides by 8 (positive, so the sign stays): x ≥ 7
7.3x > −18
Answer: x > −6
- Divide both sides by 3 (positive, so the sign stays): x > −6
8.4x ≤ 16
Answer: x ≤ 4
- Divide both sides by 4 (positive, so the sign stays): x ≤ 4
9.x − 2 ≤ −2
Answer: x ≤ 0
- Add 2 on both sides: x ≤ −2 + 2 = 0
10.8x < 88
Answer: x < 11
- Divide both sides by 8 (positive, so the sign stays): x < 11
11.x − 8 < −10
Answer: x < −2
- Add 8 on both sides: x < −10 + 8 = −2
12.x + 9 ≤ 1
Answer: x ≤ −8
- Subtract 9 on both sides: x ≤ 1 − 9 = −8
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
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