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MathsAges 13-15

Linear equations

Solve a linear equation by reversing addition and multiplication, then substitute your answer to check it. Review suitability for your learners before teaching.

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Age band:Ages 13-15Ages 16-18

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Worksheet StudioPractice pack · Ages 13-15

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 5x + 27 = 52.

    LHS=RHS
    5 · 27 · 52 · Linear equations

  2. 2. Solve 9x + 13 = 121.

    LHS=RHS
    9 · 13 · 121 · Linear equations

  3. 3. Solve 6x + 10 = 40.

    LHS=RHS
    6 · 10 · 40 · Linear equations

  4. 4. Solve 9x + 9 = 18.

    LHS=RHS
    9 · 9 · 18 · Linear equations

  5. 5. Solve 4x + 6 = 34.

    LHS=RHS
    4 · 6 · 34 · Linear equations

  6. 6. Solve 2x + 26 = 64.

    LHS=RHS
    2 · 26 · 64 · Linear equations

  7. 7. Solve 12x + 14 = 242.

    LHS=RHS
    12 · 14 · 242 · Linear equations

  8. 8. Solve 10x + 10 = 60.

    LHS=RHS
    10 · 10 · 60 · Linear equations

  9. 9. Solve 3x + 5 = 17.

    LHS=RHS
    3 · 5 · 17 · Linear equations

  10. 10. Solve 12x + 28 = 88.

    LHS=RHS
    12 · 28 · 88 · Linear equations

  11. 11. Solve 5x + 20 = 95.

    LHS=RHS
    5 · 20 · 95 · Linear equations

  12. 12. Solve 12x + 12 = 204.

    LHS=RHS
    12 · 12 · 204 · Linear equations
12 questions · Seed 50 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 13-15

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 5x + 27 = 52.

    5

    Subtract 27, then divide by 5. x = 5. Check: 5 × 5 + 27 = 52.

  2. 2. Solve 9x + 13 = 121.

    12

    Subtract 13, then divide by 9. x = 12. Check: 9 × 12 + 13 = 121.

  3. 3. Solve 6x + 10 = 40.

    5

    Subtract 10, then divide by 6. x = 5. Check: 6 × 5 + 10 = 40.

  4. 4. Solve 9x + 9 = 18.

    1

    Subtract 9, then divide by 9. x = 1. Check: 9 × 1 + 9 = 18.

  5. 5. Solve 4x + 6 = 34.

    7

    Subtract 6, then divide by 4. x = 7. Check: 4 × 7 + 6 = 34.

  6. 6. Solve 2x + 26 = 64.

    19

    Subtract 26, then divide by 2. x = 19. Check: 2 × 19 + 26 = 64.

  7. 7. Solve 12x + 14 = 242.

    19

    Subtract 14, then divide by 12. x = 19. Check: 12 × 19 + 14 = 242.

  8. 8. Solve 10x + 10 = 60.

    5

    Subtract 10, then divide by 10. x = 5. Check: 10 × 5 + 10 = 60.

  9. 9. Solve 3x + 5 = 17.

    4

    Subtract 5, then divide by 3. x = 4. Check: 3 × 4 + 5 = 17.

  10. 10. Solve 12x + 28 = 88.

    5

    Subtract 28, then divide by 12. x = 5. Check: 12 × 5 + 28 = 88.

  11. 11. Solve 5x + 20 = 95.

    15

    Subtract 20, then divide by 5. x = 15. Check: 5 × 15 + 20 = 95.

  12. 12. Solve 12x + 12 = 204.

    16

    Subtract 12, then divide by 12. x = 16. Check: 12 × 16 + 12 = 204.

12 questions · Seed 50 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 5x + 27 = 52.

    LHS=RHS
    5 · 27 · 52 · Linear equations

  2. 2. Solve 9x + 13 = 121.

    LHS=RHS
    9 · 13 · 121 · Linear equations

  3. 3. Solve 6x + 10 = 40.

    LHS=RHS
    6 · 10 · 40 · Linear equations

  4. 4. Solve 9x + 9 = 18.

    LHS=RHS
    9 · 9 · 18 · Linear equations

  5. 5. Solve 4x + 6 = 34.

    LHS=RHS
    4 · 6 · 34 · Linear equations

  6. 6. Solve 2x + 26 = 64.

    LHS=RHS
    2 · 26 · 64 · Linear equations

  7. 7. Solve 12x + 14 = 242.

    LHS=RHS
    12 · 14 · 242 · Linear equations

  8. 8. Solve 10x + 10 = 60.

    LHS=RHS
    10 · 10 · 60 · Linear equations

  9. 9. Solve 3x + 5 = 17.

    LHS=RHS
    3 · 5 · 17 · Linear equations

  10. 10. Solve 12x + 28 = 88.

    LHS=RHS
    12 · 28 · 88 · Linear equations

  11. 11. Solve 5x + 20 = 95.

    LHS=RHS
    5 · 20 · 95 · Linear equations

  12. 12. Solve 12x + 12 = 204.

    LHS=RHS
    12 · 12 · 204 · Linear equations
12 questions · Seed 50 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 5x + 27 = 52.

    5

    Subtract 27, then divide by 5. x = 5. Check: 5 × 5 + 27 = 52.

  2. 2. Solve 9x + 13 = 121.

    12

    Subtract 13, then divide by 9. x = 12. Check: 9 × 12 + 13 = 121.

  3. 3. Solve 6x + 10 = 40.

    5

    Subtract 10, then divide by 6. x = 5. Check: 6 × 5 + 10 = 40.

  4. 4. Solve 9x + 9 = 18.

    1

    Subtract 9, then divide by 9. x = 1. Check: 9 × 1 + 9 = 18.

  5. 5. Solve 4x + 6 = 34.

    7

    Subtract 6, then divide by 4. x = 7. Check: 4 × 7 + 6 = 34.

  6. 6. Solve 2x + 26 = 64.

    19

    Subtract 26, then divide by 2. x = 19. Check: 2 × 19 + 26 = 64.

  7. 7. Solve 12x + 14 = 242.

    19

    Subtract 14, then divide by 12. x = 19. Check: 12 × 19 + 14 = 242.

  8. 8. Solve 10x + 10 = 60.

    5

    Subtract 10, then divide by 10. x = 5. Check: 10 × 5 + 10 = 60.

  9. 9. Solve 3x + 5 = 17.

    4

    Subtract 5, then divide by 3. x = 4. Check: 3 × 4 + 5 = 17.

  10. 10. Solve 12x + 28 = 88.

    5

    Subtract 28, then divide by 12. x = 5. Check: 12 × 5 + 28 = 88.

  11. 11. Solve 5x + 20 = 95.

    15

    Subtract 20, then divide by 5. x = 15. Check: 5 × 15 + 20 = 95.

  12. 12. Solve 12x + 12 = 204.

    16

    Subtract 12, then divide by 12. x = 16. Check: 12 × 16 + 12 = 204.

12 questions · Seed 50 · Age guidance, not curriculum certification