9th Grade Solving Linear Equations Worksheet — Level 3 (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 (Set 2) — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.5(x − 5) = −50
Answer: x = −5
- Expand: 5x − 25 = −50
- Add 25: 5x = −25
- Divide by 5: x = −5
2.4(x + 2) = −4
Answer: x = −3
- Expand: 4x + 8 = −4
- Subtract 8: 4x = −12
- Divide by 4: x = −3
3.6(x − 5) = −72
Answer: x = −7
- Expand: 6x − 30 = −72
- Add 30: 6x = −42
- Divide by 6: x = −7
4.6x − 4 = 2x + 24
Answer: x = 7
- Subtract 2x from both sides: 4x − 4 = 24
- Add 4: 4x = 28
- Divide by 4: x = 7
5.5(x + 2) = 35
Answer: x = 5
- Expand: 5x + 10 = 35
- Subtract 10: 5x = 25
- Divide by 5: x = 5
6.6(x − 8) = 6
Answer: x = 9
- Expand: 6x − 48 = 6
- Add 48: 6x = 54
- Divide by 6: x = 9
7.5x − 8 = x + 40
Answer: x = 12
- Subtract 1x from both sides: 4x − 8 = 40
- Add 8: 4x = 48
- Divide by 4: x = 12
8.9x + 10 = 4x + 45
Answer: x = 7
- Subtract 4x from both sides: 5x + 10 = 45
- Subtract 10: 5x = 35
- Divide by 5: x = 7
9.7x + 6 = 3x + 22
Answer: x = 4
- Subtract 3x from both sides: 4x + 6 = 22
- Subtract 6: 4x = 16
- Divide by 4: x = 4
10.6x + 2 = 3x + 35
Answer: x = 11
- Subtract 3x from both sides: 3x + 2 = 35
- Subtract 2: 3x = 33
- Divide by 3: x = 11
11.2(x − 3) = −20
Answer: x = −7
- Expand: 2x − 6 = −20
- Add 6: 2x = −14
- Divide by 2: x = −7
12.3x + 2 = 2x − 3
Answer: x = −5
- Subtract 2x from both sides: x + 2 = −3
- Subtract 2: 1x = −5
- Divide by 1: x = −5
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
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