10th Grade Solving Linear Inequalities Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 10th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Linear Equations10th Grade Solving Linear Inequalities Worksheet — Level 2 — Practice Set 2 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 5x − 6 > 9
Answer: x > 3
- Add 6: 5x > 15
- Divide by 5: x > 3
2.Solve: 7x + 10 ≤ −18
Answer: x ≤ −4
- Subtract 10: 7x ≤ −28
- Divide by 7: x ≤ −4
3.Solve: 7x + 3 > 52
Answer: x > 7
- Subtract 3: 7x > 49
- Divide by 7: x > 7
4.Solve: 2x − 3 > 15
Answer: x > 9
- Add 3: 2x > 18
- Divide by 2: x > 9
5.Solve: 7x + 11 ≥ −17
Answer: x ≥ −4
- Subtract 11: 7x ≥ −28
- Divide by 7: x ≥ −4
6.Solve: 3x + 7 ≥ 31
Answer: x ≥ 8
- Subtract 7: 3x ≥ 24
- Divide by 3: x ≥ 8
7.Solve: 7x + 5 ≤ −2
Answer: x ≤ −1
- Subtract 5: 7x ≤ −7
- Divide by 7: x ≤ −1
8.Solve: 3x − 12 ≤ −39
Answer: x ≤ −9
- Add 12: 3x ≤ −27
- Divide by 3: x ≤ −9
9.Solve: 2x + 1 < −17
Answer: x < −9
- Subtract 1: 2x < −18
- Divide by 2: x < −9
10.Solve: 5x − 9 > −9
Answer: x > 0
- Add 9: 5x > 0
- Divide by 5: x > 0
11.Solve: 5x − 4 ≥ −39
Answer: x ≥ −7
- Add 4: 5x ≥ −35
- Divide by 5: x ≥ −7
12.Solve: 4x − 11 ≤ −31
Answer: x ≤ −5
- Add 11: 4x ≤ −20
- Divide by 4: 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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