8th Grade Solving Linear Equations Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 8th Grade linear equations worksheet.
8th Grade Solving Linear Equations Worksheet — Level 2 — Practice Set 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.6x + 3 = 69
Answer: x = 11
- Subtract 3 from both sides: 6x = 66
- Divide both sides by 6: x = 11
2.6x + 1 = 55
Answer: x = 9
- Subtract 1 from both sides: 6x = 54
- Divide both sides by 6: x = 9
3.3x − 6 = −30
Answer: x = −8
- Add 6 to both sides: 3x = −24
- Divide both sides by 3: x = −8
4.7x − 15 = 13
Answer: x = 4
- Add 15 to both sides: 7x = 28
- Divide both sides by 7: x = 4
5.5x + 3 = 53
Answer: x = 10
- Subtract 3 from both sides: 5x = 50
- Divide both sides by 5: x = 10
6.3x + 11 = 29
Answer: x = 6
- Subtract 11 from both sides: 3x = 18
- Divide both sides by 3: x = 6
7.7x − 10 = 4
Answer: x = 2
- Add 10 to both sides: 7x = 14
- Divide both sides by 7: x = 2
8.4x + 8 = 52
Answer: x = 11
- Subtract 8 from both sides: 4x = 44
- Divide both sides by 4: x = 11
9.3x + 11 = −7
Answer: x = −6
- Subtract 11 from both sides: 3x = −18
- Divide both sides by 3: x = −6
10.9x + 1 = 19
Answer: x = 2
- Subtract 1 from both sides: 9x = 18
- Divide both sides by 9: x = 2
11.9x + 15 = 96
Answer: x = 9
- Subtract 15 from both sides: 9x = 81
- Divide both sides by 9: x = 9
12.3x + 14 = 5
Answer: x = −3
- Subtract 14 from both sides: 3x = −9
- Divide both sides by 3: 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.