8th Grade Solving Linear Equations Worksheet — Level 2 — 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 Equations Worksheet — Level 2 — Practice Set 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.3x + 8 = 35
Answer: x = 9
- Subtract 8 from both sides: 3x = 27
- Divide both sides by 3: x = 9
2.3x − 5 = 10
Answer: x = 5
- Add 5 to both sides: 3x = 15
- Divide both sides by 3: x = 5
3.7x − 14 = 70
Answer: x = 12
- Add 14 to both sides: 7x = 84
- Divide both sides by 7: x = 12
4.2x + 5 = −11
Answer: x = −8
- Subtract 5 from both sides: 2x = −16
- Divide both sides by 2: x = −8
5.5x − 5 = 10
Answer: x = 3
- Add 5 to both sides: 5x = 15
- Divide both sides by 5: x = 3
6.9x + 8 = −37
Answer: x = −5
- Subtract 8 from both sides: 9x = −45
- Divide both sides by 9: x = −5
7.5x − 11 = −36
Answer: x = −5
- Add 11 to both sides: 5x = −25
- Divide both sides by 5: x = −5
8.7x − 6 = 36
Answer: x = 6
- Add 6 to both sides: 7x = 42
- Divide both sides by 7: x = 6
9.6x + 1 = 67
Answer: x = 11
- Subtract 1 from both sides: 6x = 66
- Divide both sides by 6: x = 11
10.5x + 7 = −28
Answer: x = −7
- Subtract 7 from both sides: 5x = −35
- Divide both sides by 5: x = −7
11.7x + 2 = −47
Answer: x = −7
- Subtract 2 from both sides: 7x = −49
- Divide both sides by 7: x = −7
12.8x − 15 = 73
Answer: x = 11
- Add 15 to both sides: 8x = 88
- Divide both sides by 8: x = 11
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.
- Celebrate what went well first, then pick one thing to work on next.