9th Grade Solving Linear Equations Worksheet — Level 3 — Practice Set 2 — 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 3 — Practice Set 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.6x − 9 = 3x + 6
Answer: x = 5
- Subtract 3x from both sides: 3x − 9 = 6
- Add 9: 3x = 15
- Divide by 3: x = 5
2.3(x − 5) = 12
Answer: x = 9
- Expand: 3x − 15 = 12
- Add 15: 3x = 27
- Divide by 3: x = 9
3.6x − 10 = 5x − 18
Answer: x = −8
- Subtract 5x from both sides: x − 10 = −18
- Add 10: 1x = −8
- Divide by 1: x = −8
4.5(x − 8) = 5
Answer: x = 9
- Expand: 5x − 40 = 5
- Add 40: 5x = 45
- Divide by 5: x = 9
5.5(x + 6) = 90
Answer: x = 12
- Expand: 5x + 30 = 90
- Subtract 30: 5x = 60
- Divide by 5: x = 12
6.4(x − 3) = 32
Answer: x = 11
- Expand: 4x − 12 = 32
- Add 12: 4x = 44
- Divide by 4: x = 11
7.6x − 10 = 3x + 2
Answer: x = 4
- Subtract 3x from both sides: 3x − 10 = 2
- Add 10: 3x = 12
- Divide by 3: x = 4
8.5(x + 8) = 70
Answer: x = 6
- Expand: 5x + 40 = 70
- Subtract 40: 5x = 30
- Divide by 5: x = 6
9.7x − 6 = x − 18
Answer: x = −2
- Subtract 1x from both sides: 6x − 6 = −18
- Add 6: 6x = −12
- Divide by 6: x = −2
10.2(x + 7) = 10
Answer: x = −2
- Expand: 2x + 14 = 10
- Subtract 14: 2x = −4
- Divide by 2: x = −2
11.2(x + 3) = 10
Answer: x = 2
- Expand: 2x + 6 = 10
- Subtract 6: 2x = 4
- Divide by 2: x = 2
12.2(x + 5) = 34
Answer: x = 12
- Expand: 2x + 10 = 34
- Subtract 10: 2x = 24
- Divide by 2: x = 12
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.
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