9th Grade Solving Linear Equations Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the 9th Grade linear equations worksheet.
9th Grade Solving Linear Equations Worksheet — Level 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.7x − 12 = 51
Answer: x = 9
- Add 12 to both sides: 7x = 63
- Divide both sides by 7: x = 9
2.4x − 5 = −1
Answer: x = 1
- Add 5 to both sides: 4x = 4
- Divide both sides by 4: x = 1
3.8x + 2 = 34
Answer: x = 4
- Subtract 2 from both sides: 8x = 32
- Divide both sides by 8: x = 4
4.8x − 10 = −18
Answer: x = −1
- Add 10 to both sides: 8x = −8
- Divide both sides by 8: x = −1
5.9x + 15 = 87
Answer: x = 8
- Subtract 15 from both sides: 9x = 72
- Divide both sides by 9: x = 8
6.4x − 5 = 35
Answer: x = 10
- Add 5 to both sides: 4x = 40
- Divide both sides by 4: x = 10
7.8x + 5 = 101
Answer: x = 12
- Subtract 5 from both sides: 8x = 96
- Divide both sides by 8: x = 12
8.8x − 2 = 86
Answer: x = 11
- Add 2 to both sides: 8x = 88
- Divide both sides by 8: x = 11
9.2x + 13 = 37
Answer: x = 12
- Subtract 13 from both sides: 2x = 24
- Divide both sides by 2: x = 12
10.2x + 7 = 19
Answer: x = 6
- Subtract 7 from both sides: 2x = 12
- Divide both sides by 2: x = 6
11.3x − 10 = 11
Answer: x = 7
- Add 10 to both sides: 3x = 21
- Divide both sides by 3: x = 7
12.3x + 9 = 42
Answer: x = 11
- Subtract 9 from both sides: 3x = 33
- Divide both sides by 3: 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.