Year 7 Solving Linear Equations Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 7 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Linear EquationsYear 7 Solving Linear Equations Worksheet — Level 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.2(x − 1) = 18
Answer: x = 10
- Expand: 2x − 2 = 18
- Add 2: 2x = 20
- Divide by 2: x = 10
2.4(x − 6) = 8
Answer: x = 8
- Expand: 4x − 24 = 8
- Add 24: 4x = 32
- Divide by 4: x = 8
3.5(x + 7) = −10
Answer: x = −9
- Expand: 5x + 35 = −10
- Subtract 35: 5x = −45
- Divide by 5: x = −9
4.3x + 2 = x + 18
Answer: x = 8
- Subtract 1x from both sides: 2x + 2 = 18
- Subtract 2: 2x = 16
- Divide by 2: x = 8
5.8x + 4 = 2x − 32
Answer: x = −6
- Subtract 2x from both sides: 6x + 4 = −32
- Subtract 4: 6x = −36
- Divide by 6: x = −6
6.6(x + 5) = 90
Answer: x = 10
- Expand: 6x + 30 = 90
- Subtract 30: 6x = 60
- Divide by 6: x = 10
7.8x − 8 = 3x − 43
Answer: x = −7
- Subtract 3x from both sides: 5x − 8 = −43
- Add 8: 5x = −35
- Divide by 5: x = −7
8.5(x + 7) = 5
Answer: x = −6
- Expand: 5x + 35 = 5
- Subtract 35: 5x = −30
- Divide by 5: x = −6
9.6x + 6 = 2x − 30
Answer: x = −9
- Subtract 2x from both sides: 4x + 6 = −30
- Subtract 6: 4x = −36
- Divide by 4: x = −9
10.4(x + 3) = 48
Answer: x = 9
- Expand: 4x + 12 = 48
- Subtract 12: 4x = 36
- Divide by 4: x = 9
11.9x − 2 = 3x + 34
Answer: x = 6
- Subtract 3x from both sides: 6x − 2 = 34
- Add 2: 6x = 36
- Divide by 6: x = 6
12.5x − 7 = 2x + 17
Answer: x = 8
- Subtract 2x from both sides: 3x − 7 = 17
- Add 7: 3x = 24
- Divide by 3: x = 8
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