8th Grade Solving Linear Equations Worksheet — Level 2 (Set 2) — Answers
Answer sheet with worked solutions for the 8th Grade linear equations worksheet.
8th Grade Solving Linear Equations Worksheet — Level 2 (Set 2) — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.2x − 8 = −24
Answer: x = −8
- Add 8 to both sides: 2x = −16
- Divide both sides by 2: x = −8
2.5x − 15 = 15
Answer: x = 6
- Add 15 to both sides: 5x = 30
- Divide both sides by 5: x = 6
3.7x + 15 = −20
Answer: x = −5
- Subtract 15 from both sides: 7x = −35
- Divide both sides by 7: x = −5
4.7x + 15 = 29
Answer: x = 2
- Subtract 15 from both sides: 7x = 14
- Divide both sides by 7: x = 2
5.4x − 12 = 24
Answer: x = 9
- Add 12 to both sides: 4x = 36
- Divide both sides by 4: x = 9
6.9x + 3 = 75
Answer: x = 8
- Subtract 3 from both sides: 9x = 72
- Divide both sides by 9: x = 8
7.3x + 9 = −6
Answer: x = −5
- Subtract 9 from both sides: 3x = −15
- Divide both sides by 3: x = −5
8.5x + 13 = 33
Answer: x = 4
- Subtract 13 from both sides: 5x = 20
- Divide both sides by 5: x = 4
9.6x − 15 = −33
Answer: x = −3
- Add 15 to both sides: 6x = −18
- Divide both sides by 6: x = −3
10.5x + 15 = 55
Answer: x = 8
- Subtract 15 from both sides: 5x = 40
- Divide both sides by 5: x = 8
11.5x + 12 = 57
Answer: x = 9
- Subtract 12 from both sides: 5x = 45
- Divide both sides by 5: x = 9
12.8x + 10 = 50
Answer: x = 5
- Subtract 10 from both sides: 8x = 40
- Divide both sides by 8: x = 5
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.