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Year 9 Solving Linear Equations Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 9 linear equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear Equations

Year 9 Solving Linear Equations Worksheet — Level 3 — Answers

Solve each equation. Show every step and check your answer by substituting it back in.

1.4(x + 8) = 24

Answer: x = −2

  1. Expand: 4x + 32 = 24
  2. Subtract 32: 4x = −8
  3. Divide by 4: x = −2
2.2(x + 7) = 36

Answer: x = 11

  1. Expand: 2x + 14 = 36
  2. Subtract 14: 2x = 22
  3. Divide by 2: x = 11
3.5(x − 4) = −40

Answer: x = −4

  1. Expand: 5x − 20 = −40
  2. Add 20: 5x = −20
  3. Divide by 5: x = −4
4.2(x + 8) = 30

Answer: x = 7

  1. Expand: 2x + 16 = 30
  2. Subtract 16: 2x = 14
  3. Divide by 2: x = 7
5.5(x + 3) = −30

Answer: x = −9

  1. Expand: 5x + 15 = −30
  2. Subtract 15: 5x = −45
  3. Divide by 5: x = −9
6.2(x + 6) = 22

Answer: x = 5

  1. Expand: 2x + 12 = 22
  2. Subtract 12: 2x = 10
  3. Divide by 2: x = 5
7.7x − 4 = x + 2

Answer: x = 1

  1. Subtract 1x from both sides: 6x − 4 = 2
  2. Add 4: 6x = 6
  3. Divide by 6: x = 1
8.5x + 7 = x − 5

Answer: x = −3

  1. Subtract 1x from both sides: 4x + 7 = −5
  2. Subtract 7: 4x = −12
  3. Divide by 4: x = −3
9.4x + 1 = 3x − 3

Answer: x = −4

  1. Subtract 3x from both sides: x + 1 = −3
  2. Subtract 1: 1x = −4
  3. Divide by 1: x = −4
10.3(x − 6) = 9

Answer: x = 9

  1. Expand: 3x − 18 = 9
  2. Add 18: 3x = 27
  3. Divide by 3: x = 9
11.7x + 9 = 3x + 25

Answer: x = 4

  1. Subtract 3x from both sides: 4x + 9 = 25
  2. Subtract 9: 4x = 16
  3. Divide by 4: x = 4
12.5x − 4 = x + 32

Answer: x = 9

  1. Subtract 1x from both sides: 4x − 4 = 32
  2. Add 4: 4x = 36
  3. Divide by 4: x = 9
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