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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 2x + 24 = 36.

    LHS=RHS
    2 · 24 · 36 · Linear equations

  2. 2. Solve 6x + 17 = 35.

    LHS=RHS
    6 · 17 · 35 · Linear equations

  3. 3. Solve 6x + 30 = 108.

    LHS=RHS
    6 · 30 · 108 · Linear equations

  4. 4. Solve 6x + 8 = 92.

    LHS=RHS
    6 · 8 · 92 · Linear equations

  5. 5. Solve 3x + 10 = 61.

    LHS=RHS
    3 · 10 · 61 · Linear equations

  6. 6. Solve 8x + 14 = 134.

    LHS=RHS
    8 · 14 · 134 · Linear equations

  7. 7. Solve 12x + 20 = 68.

    LHS=RHS
    12 · 20 · 68 · Linear equations

  8. 8. Solve 4x + 29 = 37.

    LHS=RHS
    4 · 29 · 37 · Linear equations

  9. 9. Solve 6x + 4 = 70.

    LHS=RHS
    6 · 4 · 70 · Linear equations

  10. 10. Solve 11x + 30 = 96.

    LHS=RHS
    11 · 30 · 96 · Linear equations

  11. 11. Solve 5x + 4 = 24.

    LHS=RHS
    5 · 4 · 24 · Linear equations

  12. 12. Solve 12x + 28 = 184.

    LHS=RHS
    12 · 28 · 184 · Linear equations
12 questions · Seed 46 · 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 2x + 24 = 36.

    6

    Subtract 24, then divide by 2. x = 6. Check: 2 × 6 + 24 = 36.

  2. 2. Solve 6x + 17 = 35.

    3

    Subtract 17, then divide by 6. x = 3. Check: 6 × 3 + 17 = 35.

  3. 3. Solve 6x + 30 = 108.

    13

    Subtract 30, then divide by 6. x = 13. Check: 6 × 13 + 30 = 108.

  4. 4. Solve 6x + 8 = 92.

    14

    Subtract 8, then divide by 6. x = 14. Check: 6 × 14 + 8 = 92.

  5. 5. Solve 3x + 10 = 61.

    17

    Subtract 10, then divide by 3. x = 17. Check: 3 × 17 + 10 = 61.

  6. 6. Solve 8x + 14 = 134.

    15

    Subtract 14, then divide by 8. x = 15. Check: 8 × 15 + 14 = 134.

  7. 7. Solve 12x + 20 = 68.

    4

    Subtract 20, then divide by 12. x = 4. Check: 12 × 4 + 20 = 68.

  8. 8. Solve 4x + 29 = 37.

    2

    Subtract 29, then divide by 4. x = 2. Check: 4 × 2 + 29 = 37.

  9. 9. Solve 6x + 4 = 70.

    11

    Subtract 4, then divide by 6. x = 11. Check: 6 × 11 + 4 = 70.

  10. 10. Solve 11x + 30 = 96.

    6

    Subtract 30, then divide by 11. x = 6. Check: 11 × 6 + 30 = 96.

  11. 11. Solve 5x + 4 = 24.

    4

    Subtract 4, then divide by 5. x = 4. Check: 5 × 4 + 4 = 24.

  12. 12. Solve 12x + 28 = 184.

    13

    Subtract 28, then divide by 12. x = 13. Check: 12 × 13 + 28 = 184.

12 questions · Seed 46 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 16-18

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 2x + 24 = 36.

    LHS=RHS
    2 · 24 · 36 · Linear equations

  2. 2. Solve 6x + 17 = 35.

    LHS=RHS
    6 · 17 · 35 · Linear equations

  3. 3. Solve 6x + 30 = 108.

    LHS=RHS
    6 · 30 · 108 · Linear equations

  4. 4. Solve 6x + 8 = 92.

    LHS=RHS
    6 · 8 · 92 · Linear equations

  5. 5. Solve 3x + 10 = 61.

    LHS=RHS
    3 · 10 · 61 · Linear equations

  6. 6. Solve 8x + 14 = 134.

    LHS=RHS
    8 · 14 · 134 · Linear equations

  7. 7. Solve 12x + 20 = 68.

    LHS=RHS
    12 · 20 · 68 · Linear equations

  8. 8. Solve 4x + 29 = 37.

    LHS=RHS
    4 · 29 · 37 · Linear equations

  9. 9. Solve 6x + 4 = 70.

    LHS=RHS
    6 · 4 · 70 · Linear equations

  10. 10. Solve 11x + 30 = 96.

    LHS=RHS
    11 · 30 · 96 · Linear equations

  11. 11. Solve 5x + 4 = 24.

    LHS=RHS
    5 · 4 · 24 · Linear equations

  12. 12. Solve 12x + 28 = 184.

    LHS=RHS
    12 · 28 · 184 · Linear equations
12 questions · Seed 46 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 16-18

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 2x + 24 = 36.

    6

    Subtract 24, then divide by 2. x = 6. Check: 2 × 6 + 24 = 36.

  2. 2. Solve 6x + 17 = 35.

    3

    Subtract 17, then divide by 6. x = 3. Check: 6 × 3 + 17 = 35.

  3. 3. Solve 6x + 30 = 108.

    13

    Subtract 30, then divide by 6. x = 13. Check: 6 × 13 + 30 = 108.

  4. 4. Solve 6x + 8 = 92.

    14

    Subtract 8, then divide by 6. x = 14. Check: 6 × 14 + 8 = 92.

  5. 5. Solve 3x + 10 = 61.

    17

    Subtract 10, then divide by 3. x = 17. Check: 3 × 17 + 10 = 61.

  6. 6. Solve 8x + 14 = 134.

    15

    Subtract 14, then divide by 8. x = 15. Check: 8 × 15 + 14 = 134.

  7. 7. Solve 12x + 20 = 68.

    4

    Subtract 20, then divide by 12. x = 4. Check: 12 × 4 + 20 = 68.

  8. 8. Solve 4x + 29 = 37.

    2

    Subtract 29, then divide by 4. x = 2. Check: 4 × 2 + 29 = 37.

  9. 9. Solve 6x + 4 = 70.

    11

    Subtract 4, then divide by 6. x = 11. Check: 6 × 11 + 4 = 70.

  10. 10. Solve 11x + 30 = 96.

    6

    Subtract 30, then divide by 11. x = 6. Check: 11 × 6 + 30 = 96.

  11. 11. Solve 5x + 4 = 24.

    4

    Subtract 4, then divide by 5. x = 4. Check: 5 × 4 + 4 = 24.

  12. 12. Solve 12x + 28 = 184.

    13

    Subtract 28, then divide by 12. x = 13. Check: 12 × 13 + 28 = 184.

12 questions · Seed 46 · Age guidance, not curriculum certification