9th Grade Solving Linear Equations Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 9th Grade linear equations worksheet.
9th 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.
1.4x + 5 = −11
Answer: x = −4
- Subtract 5 from both sides: 4x = −16
- Divide both sides by 4: x = −4
2.2x − 5 = 7
Answer: x = 6
- Add 5 to both sides: 2x = 12
- Divide both sides by 2: x = 6
3.2x − 2 = 0
Answer: x = 1
- Add 2 to both sides: 2x = 2
- Divide both sides by 2: x = 1
4.7x − 8 = 62
Answer: x = 10
- Add 8 to both sides: 7x = 70
- Divide both sides by 7: x = 10
5.3x − 11 = 19
Answer: x = 10
- Add 11 to both sides: 3x = 30
- Divide both sides by 3: x = 10
6.7x − 3 = −24
Answer: x = −3
- Add 3 to both sides: 7x = −21
- Divide both sides by 7: x = −3
7.6x + 12 = 54
Answer: x = 7
- Subtract 12 from both sides: 6x = 42
- Divide both sides by 6: x = 7
8.5x + 14 = 74
Answer: x = 12
- Subtract 14 from both sides: 5x = 60
- Divide both sides by 5: x = 12
9.6x + 1 = 49
Answer: x = 8
- Subtract 1 from both sides: 6x = 48
- Divide both sides by 6: x = 8
10.3x − 7 = 5
Answer: x = 4
- Add 7 to both sides: 3x = 12
- Divide both sides by 3: x = 4
11.7x + 12 = 68
Answer: x = 8
- Subtract 12 from both sides: 7x = 56
- Divide both sides by 7: x = 8
12.6x + 6 = 72
Answer: x = 11
- Subtract 6 from both sides: 6x = 66
- Divide both sides by 6: 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.