8th Grade Solving Linear Equations Worksheet — Level 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 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.4x + 5 = 29
Answer: x = 6
- Subtract 5 from both sides: 4x = 24
- Divide both sides by 4: x = 6
2.7x + 12 = −51
Answer: x = −9
- Subtract 12 from both sides: 7x = −63
- Divide both sides by 7: x = −9
3.9x − 5 = −14
Answer: x = −1
- Add 5 to both sides: 9x = −9
- Divide both sides by 9: x = −1
4.6x + 7 = 13
Answer: x = 1
- Subtract 7 from both sides: 6x = 6
- Divide both sides by 6: x = 1
5.8x − 15 = −23
Answer: x = −1
- Add 15 to both sides: 8x = −8
- Divide both sides by 8: x = −1
6.9x + 12 = 120
Answer: x = 12
- Subtract 12 from both sides: 9x = 108
- Divide both sides by 9: x = 12
7.8x − 1 = 31
Answer: x = 4
- Add 1 to both sides: 8x = 32
- Divide both sides by 8: x = 4
8.6x − 7 = 47
Answer: x = 9
- Add 7 to both sides: 6x = 54
- Divide both sides by 6: x = 9
9.5x − 13 = 7
Answer: x = 4
- Add 13 to both sides: 5x = 20
- Divide both sides by 5: x = 4
10.4x + 8 = −8
Answer: x = −4
- Subtract 8 from both sides: 4x = −16
- Divide both sides by 4: x = −4
11.2x − 13 = −17
Answer: x = −2
- Add 13 to both sides: 2x = −4
- Divide both sides by 2: x = −2
12.8x + 6 = 30
Answer: x = 3
- Subtract 6 from both sides: 8x = 24
- Divide both sides by 8: x = 3
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.