9th Grade Solving Linear Equations Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 9th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Linear Equations9th 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.
1.9x + 15 = 105
Answer: x = 10
- Subtract 15 from both sides: 9x = 90
- Divide both sides by 9: x = 10
2.4x − 4 = 40
Answer: x = 11
- Add 4 to both sides: 4x = 44
- Divide both sides by 4: x = 11
3.8x + 14 = 62
Answer: x = 6
- Subtract 14 from both sides: 8x = 48
- Divide both sides by 8: x = 6
4.6x + 11 = 59
Answer: x = 8
- Subtract 11 from both sides: 6x = 48
- Divide both sides by 6: x = 8
5.5x − 9 = 51
Answer: x = 12
- Add 9 to both sides: 5x = 60
- Divide both sides by 5: x = 12
6.9x + 8 = 44
Answer: x = 4
- Subtract 8 from both sides: 9x = 36
- Divide both sides by 9: x = 4
7.2x + 12 = 20
Answer: x = 4
- Subtract 12 from both sides: 2x = 8
- Divide both sides by 2: x = 4
8.7x + 3 = 31
Answer: x = 4
- Subtract 3 from both sides: 7x = 28
- Divide both sides by 7: x = 4
9.6x − 5 = −59
Answer: x = −9
- Add 5 to both sides: 6x = −54
- Divide both sides by 6: x = −9
10.4x + 2 = −18
Answer: x = −5
- Subtract 2 from both sides: 4x = −20
- Divide both sides by 4: x = −5
11.8x − 13 = −69
Answer: x = −7
- Add 13 to both sides: 8x = −56
- Divide both sides by 8: x = −7
12.9x + 8 = −73
Answer: x = −9
- Subtract 8 from both sides: 9x = −81
- Divide both sides by 9: 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.