9th Grade Solving Linear Equations Worksheet — Level 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 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.5x − 4 = x + 24
Answer: x = 7
- Subtract 1x from both sides: 4x − 4 = 24
- Add 4: 4x = 28
- Divide by 4: x = 7
2.3(x + 3) = 12
Answer: x = 1
- Expand: 3x + 9 = 12
- Subtract 9: 3x = 3
- Divide by 3: x = 1
3.6x − 8 = 2x + 8
Answer: x = 4
- Subtract 2x from both sides: 4x − 8 = 8
- Add 8: 4x = 16
- Divide by 4: x = 4
4.5(x + 8) = 0
Answer: x = −8
- Expand: 5x + 40 = 0
- Subtract 40: 5x = −40
- Divide by 5: x = −8
5.3x − 6 = x − 22
Answer: x = −8
- Subtract 1x from both sides: 2x − 6 = −22
- Add 6: 2x = −16
- Divide by 2: x = −8
6.7x + 1 = 5x + 15
Answer: x = 7
- Subtract 5x from both sides: 2x + 1 = 15
- Subtract 1: 2x = 14
- Divide by 2: x = 7
7.9x + 7 = x + 95
Answer: x = 11
- Subtract 1x from both sides: 8x + 7 = 95
- Subtract 7: 8x = 88
- Divide by 8: x = 11
8.5(x + 7) = 85
Answer: x = 10
- Expand: 5x + 35 = 85
- Subtract 35: 5x = 50
- Divide by 5: x = 10
9.6(x + 8) = 12
Answer: x = −6
- Expand: 6x + 48 = 12
- Subtract 48: 6x = −36
- Divide by 6: x = −6
10.3(x − 7) = 6
Answer: x = 9
- Expand: 3x − 21 = 6
- Add 21: 3x = 27
- Divide by 3: x = 9
11.6x + 3 = 5x + 1
Answer: x = −2
- Subtract 5x from both sides: x + 3 = 1
- Subtract 3: 1x = −2
- Divide by 1: x = −2
12.8x + 3 = 6x − 1
Answer: x = −2
- Subtract 6x from both sides: 2x + 3 = −1
- Subtract 3: 2x = −4
- Divide by 2: x = −2
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.