9th Grade Solving Linear Equations Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 9th Grade linear equations worksheet.
9th Grade Solving Linear Equations Worksheet — Level 2 — Practice Set 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.9x + 10 = 82
Answer: x = 8
- Subtract 10 from both sides: 9x = 72
- Divide both sides by 9: x = 8
2.8x + 9 = −23
Answer: x = −4
- Subtract 9 from both sides: 8x = −32
- Divide both sides by 8: x = −4
3.6x + 11 = −43
Answer: x = −9
- Subtract 11 from both sides: 6x = −54
- Divide both sides by 6: x = −9
4.2x + 1 = −15
Answer: x = −8
- Subtract 1 from both sides: 2x = −16
- Divide both sides by 2: x = −8
5.9x − 11 = −74
Answer: x = −7
- Add 11 to both sides: 9x = −63
- Divide both sides by 9: x = −7
6.2x + 2 = 12
Answer: x = 5
- Subtract 2 from both sides: 2x = 10
- Divide both sides by 2: x = 5
7.7x − 8 = −29
Answer: x = −3
- Add 8 to both sides: 7x = −21
- Divide both sides by 7: x = −3
8.6x + 15 = 51
Answer: x = 6
- Subtract 15 from both sides: 6x = 36
- Divide both sides by 6: x = 6
9.2x + 15 = 11
Answer: x = −2
- Subtract 15 from both sides: 2x = −4
- Divide both sides by 2: x = −2
10.3x + 8 = −4
Answer: x = −4
- Subtract 8 from both sides: 3x = −12
- Divide both sides by 3: x = −4
11.5x + 7 = 57
Answer: x = 10
- Subtract 7 from both sides: 5x = 50
- Divide both sides by 5: x = 10
12.7x − 7 = 56
Answer: x = 9
- Add 7 to both sides: 7x = 63
- Divide both sides by 7: x = 9
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.