Year 10 Solving Linear Equations Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear EquationsYear 10 Solving Linear Equations Worksheet — Level 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.5x + 2 = 3x + 14
Answer: x = 6
- Subtract 3x from both sides: 2x + 2 = 14
- Subtract 2: 2x = 12
- Divide by 2: x = 6
2.3(x − 2) = −18
Answer: x = −4
- Expand: 3x − 6 = −18
- Add 6: 3x = −12
- Divide by 3: x = −4
3.5x − 8 = 4x − 16
Answer: x = −8
- Subtract 4x from both sides: x − 8 = −16
- Add 8: 1x = −8
- Divide by 1: x = −8
4.5(x + 8) = 75
Answer: x = 7
- Expand: 5x + 40 = 75
- Subtract 40: 5x = 35
- Divide by 5: x = 7
5.3x + 2 = 2x − 5
Answer: x = −7
- Subtract 2x from both sides: x + 2 = −5
- Subtract 2: 1x = −7
- Divide by 1: x = −7
6.4(x − 2) = 4
Answer: x = 3
- Expand: 4x − 8 = 4
- Add 8: 4x = 12
- Divide by 4: x = 3
7.6x + 4 = 3x + 25
Answer: x = 7
- Subtract 3x from both sides: 3x + 4 = 25
- Subtract 4: 3x = 21
- Divide by 3: x = 7
8.4x − 5 = 3x + 4
Answer: x = 9
- Subtract 3x from both sides: x − 5 = 4
- Add 5: 1x = 9
- Divide by 1: x = 9
9.9x − 10 = 4x + 40
Answer: x = 10
- Subtract 4x from both sides: 5x − 10 = 40
- Add 10: 5x = 50
- Divide by 5: x = 10
10.4x + 8 = 3x + 16
Answer: x = 8
- Subtract 3x from both sides: x + 8 = 16
- Subtract 8: 1x = 8
- Divide by 1: x = 8
11.6(x − 4) = −66
Answer: x = −7
- Expand: 6x − 24 = −66
- Add 24: 6x = −42
- Divide by 6: x = −7
12.8x − 1 = 4x + 15
Answer: x = 4
- Subtract 4x from both sides: 4x − 1 = 15
- Add 1: 4x = 16
- Divide by 4: x = 4
Marking tips
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