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MathsAges 16-18

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 16-18

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 4x + 11 = 35.

    LHS=RHS
    4 · 11 · 35 · Linear equations

  2. 2. Solve 3x + 28 = 61.

    LHS=RHS
    3 · 28 · 61 · Linear equations

  3. 3. Solve 11x + 13 = 68.

    LHS=RHS
    11 · 13 · 68 · Linear equations

  4. 4. Solve 8x + 14 = 22.

    LHS=RHS
    8 · 14 · 22 · Linear equations

  5. 5. Solve 4x + 5 = 9.

    LHS=RHS
    4 · 5 · 9 · Linear equations

  6. 6. Solve 4x + 9 = 85.

    LHS=RHS
    4 · 9 · 85 · Linear equations

  7. 7. Solve 4x + 21 = 69.

    LHS=RHS
    4 · 21 · 69 · Linear equations

  8. 8. Solve 7x + 20 = 62.

    LHS=RHS
    7 · 20 · 62 · Linear equations

  9. 9. Solve 9x + 22 = 49.

    LHS=RHS
    9 · 22 · 49 · Linear equations

  10. 10. Solve 4x + 25 = 41.

    LHS=RHS
    4 · 25 · 41 · Linear equations

  11. 11. Solve 6x + 20 = 38.

    LHS=RHS
    6 · 20 · 38 · Linear equations

  12. 12. Solve 11x + 9 = 163.

    LHS=RHS
    11 · 9 · 163 · Linear equations
12 questions · Seed 55 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 16-18

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 4x + 11 = 35.

    6

    Subtract 11, then divide by 4. x = 6. Check: 4 × 6 + 11 = 35.

  2. 2. Solve 3x + 28 = 61.

    11

    Subtract 28, then divide by 3. x = 11. Check: 3 × 11 + 28 = 61.

  3. 3. Solve 11x + 13 = 68.

    5

    Subtract 13, then divide by 11. x = 5. Check: 11 × 5 + 13 = 68.

  4. 4. Solve 8x + 14 = 22.

    1

    Subtract 14, then divide by 8. x = 1. Check: 8 × 1 + 14 = 22.

  5. 5. Solve 4x + 5 = 9.

    1

    Subtract 5, then divide by 4. x = 1. Check: 4 × 1 + 5 = 9.

  6. 6. Solve 4x + 9 = 85.

    19

    Subtract 9, then divide by 4. x = 19. Check: 4 × 19 + 9 = 85.

  7. 7. Solve 4x + 21 = 69.

    12

    Subtract 21, then divide by 4. x = 12. Check: 4 × 12 + 21 = 69.

  8. 8. Solve 7x + 20 = 62.

    6

    Subtract 20, then divide by 7. x = 6. Check: 7 × 6 + 20 = 62.

  9. 9. Solve 9x + 22 = 49.

    3

    Subtract 22, then divide by 9. x = 3. Check: 9 × 3 + 22 = 49.

  10. 10. Solve 4x + 25 = 41.

    4

    Subtract 25, then divide by 4. x = 4. Check: 4 × 4 + 25 = 41.

  11. 11. Solve 6x + 20 = 38.

    3

    Subtract 20, then divide by 6. x = 3. Check: 6 × 3 + 20 = 38.

  12. 12. Solve 11x + 9 = 163.

    14

    Subtract 9, then divide by 11. x = 14. Check: 11 × 14 + 9 = 163.

12 questions · Seed 55 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 16-18

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 4x + 11 = 35.

    LHS=RHS
    4 · 11 · 35 · Linear equations

  2. 2. Solve 3x + 28 = 61.

    LHS=RHS
    3 · 28 · 61 · Linear equations

  3. 3. Solve 11x + 13 = 68.

    LHS=RHS
    11 · 13 · 68 · Linear equations

  4. 4. Solve 8x + 14 = 22.

    LHS=RHS
    8 · 14 · 22 · Linear equations

  5. 5. Solve 4x + 5 = 9.

    LHS=RHS
    4 · 5 · 9 · Linear equations

  6. 6. Solve 4x + 9 = 85.

    LHS=RHS
    4 · 9 · 85 · Linear equations

  7. 7. Solve 4x + 21 = 69.

    LHS=RHS
    4 · 21 · 69 · Linear equations

  8. 8. Solve 7x + 20 = 62.

    LHS=RHS
    7 · 20 · 62 · Linear equations

  9. 9. Solve 9x + 22 = 49.

    LHS=RHS
    9 · 22 · 49 · Linear equations

  10. 10. Solve 4x + 25 = 41.

    LHS=RHS
    4 · 25 · 41 · Linear equations

  11. 11. Solve 6x + 20 = 38.

    LHS=RHS
    6 · 20 · 38 · Linear equations

  12. 12. Solve 11x + 9 = 163.

    LHS=RHS
    11 · 9 · 163 · Linear equations
12 questions · Seed 55 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 16-18

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 4x + 11 = 35.

    6

    Subtract 11, then divide by 4. x = 6. Check: 4 × 6 + 11 = 35.

  2. 2. Solve 3x + 28 = 61.

    11

    Subtract 28, then divide by 3. x = 11. Check: 3 × 11 + 28 = 61.

  3. 3. Solve 11x + 13 = 68.

    5

    Subtract 13, then divide by 11. x = 5. Check: 11 × 5 + 13 = 68.

  4. 4. Solve 8x + 14 = 22.

    1

    Subtract 14, then divide by 8. x = 1. Check: 8 × 1 + 14 = 22.

  5. 5. Solve 4x + 5 = 9.

    1

    Subtract 5, then divide by 4. x = 1. Check: 4 × 1 + 5 = 9.

  6. 6. Solve 4x + 9 = 85.

    19

    Subtract 9, then divide by 4. x = 19. Check: 4 × 19 + 9 = 85.

  7. 7. Solve 4x + 21 = 69.

    12

    Subtract 21, then divide by 4. x = 12. Check: 4 × 12 + 21 = 69.

  8. 8. Solve 7x + 20 = 62.

    6

    Subtract 20, then divide by 7. x = 6. Check: 7 × 6 + 20 = 62.

  9. 9. Solve 9x + 22 = 49.

    3

    Subtract 22, then divide by 9. x = 3. Check: 9 × 3 + 22 = 49.

  10. 10. Solve 4x + 25 = 41.

    4

    Subtract 25, then divide by 4. x = 4. Check: 4 × 4 + 25 = 41.

  11. 11. Solve 6x + 20 = 38.

    3

    Subtract 20, then divide by 6. x = 3. Check: 6 × 3 + 20 = 38.

  12. 12. Solve 11x + 9 = 163.

    14

    Subtract 9, then divide by 11. x = 14. Check: 11 × 14 + 9 = 163.

12 questions · Seed 55 · Age guidance, not curriculum certification