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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 9x + 11 = 101.

    LHS=RHS
    9 · 11 · 101 · Linear equations

  2. 2. Solve 3x + 2 = 17.

    LHS=RHS
    3 · 2 · 17 · Linear equations

  3. 3. Solve 4x + 30 = 82.

    LHS=RHS
    4 · 30 · 82 · Linear equations

  4. 4. Solve 2x + 3 = 9.

    LHS=RHS
    2 · 3 · 9 · Linear equations

  5. 5. Solve 12x + 4 = 196.

    LHS=RHS
    12 · 4 · 196 · Linear equations

  6. 6. Solve 7x + 22 = 92.

    LHS=RHS
    7 · 22 · 92 · Linear equations

  7. 7. Solve 3x + 11 = 47.

    LHS=RHS
    3 · 11 · 47 · Linear equations

  8. 8. Solve 12x + 18 = 138.

    LHS=RHS
    12 · 18 · 138 · Linear equations

  9. 9. Solve 3x + 1 = 16.

    LHS=RHS
    3 · 1 · 16 · Linear equations

  10. 10. Solve 2x + 10 = 28.

    LHS=RHS
    2 · 10 · 28 · Linear equations

  11. 11. Solve 11x + 29 = 227.

    LHS=RHS
    11 · 29 · 227 · Linear equations

  12. 12. Solve 9x + 5 = 77.

    LHS=RHS
    9 · 5 · 77 · Linear equations
12 questions · Seed 57 · 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 9x + 11 = 101.

    10

    Subtract 11, then divide by 9. x = 10. Check: 9 × 10 + 11 = 101.

  2. 2. Solve 3x + 2 = 17.

    5

    Subtract 2, then divide by 3. x = 5. Check: 3 × 5 + 2 = 17.

  3. 3. Solve 4x + 30 = 82.

    13

    Subtract 30, then divide by 4. x = 13. Check: 4 × 13 + 30 = 82.

  4. 4. Solve 2x + 3 = 9.

    3

    Subtract 3, then divide by 2. x = 3. Check: 2 × 3 + 3 = 9.

  5. 5. Solve 12x + 4 = 196.

    16

    Subtract 4, then divide by 12. x = 16. Check: 12 × 16 + 4 = 196.

  6. 6. Solve 7x + 22 = 92.

    10

    Subtract 22, then divide by 7. x = 10. Check: 7 × 10 + 22 = 92.

  7. 7. Solve 3x + 11 = 47.

    12

    Subtract 11, then divide by 3. x = 12. Check: 3 × 12 + 11 = 47.

  8. 8. Solve 12x + 18 = 138.

    10

    Subtract 18, then divide by 12. x = 10. Check: 12 × 10 + 18 = 138.

  9. 9. Solve 3x + 1 = 16.

    5

    Subtract 1, then divide by 3. x = 5. Check: 3 × 5 + 1 = 16.

  10. 10. Solve 2x + 10 = 28.

    9

    Subtract 10, then divide by 2. x = 9. Check: 2 × 9 + 10 = 28.

  11. 11. Solve 11x + 29 = 227.

    18

    Subtract 29, then divide by 11. x = 18. Check: 11 × 18 + 29 = 227.

  12. 12. Solve 9x + 5 = 77.

    8

    Subtract 5, then divide by 9. x = 8. Check: 9 × 8 + 5 = 77.

12 questions · Seed 57 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 16-18

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 9x + 11 = 101.

    LHS=RHS
    9 · 11 · 101 · Linear equations

  2. 2. Solve 3x + 2 = 17.

    LHS=RHS
    3 · 2 · 17 · Linear equations

  3. 3. Solve 4x + 30 = 82.

    LHS=RHS
    4 · 30 · 82 · Linear equations

  4. 4. Solve 2x + 3 = 9.

    LHS=RHS
    2 · 3 · 9 · Linear equations

  5. 5. Solve 12x + 4 = 196.

    LHS=RHS
    12 · 4 · 196 · Linear equations

  6. 6. Solve 7x + 22 = 92.

    LHS=RHS
    7 · 22 · 92 · Linear equations

  7. 7. Solve 3x + 11 = 47.

    LHS=RHS
    3 · 11 · 47 · Linear equations

  8. 8. Solve 12x + 18 = 138.

    LHS=RHS
    12 · 18 · 138 · Linear equations

  9. 9. Solve 3x + 1 = 16.

    LHS=RHS
    3 · 1 · 16 · Linear equations

  10. 10. Solve 2x + 10 = 28.

    LHS=RHS
    2 · 10 · 28 · Linear equations

  11. 11. Solve 11x + 29 = 227.

    LHS=RHS
    11 · 29 · 227 · Linear equations

  12. 12. Solve 9x + 5 = 77.

    LHS=RHS
    9 · 5 · 77 · Linear equations
12 questions · Seed 57 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 16-18

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 9x + 11 = 101.

    10

    Subtract 11, then divide by 9. x = 10. Check: 9 × 10 + 11 = 101.

  2. 2. Solve 3x + 2 = 17.

    5

    Subtract 2, then divide by 3. x = 5. Check: 3 × 5 + 2 = 17.

  3. 3. Solve 4x + 30 = 82.

    13

    Subtract 30, then divide by 4. x = 13. Check: 4 × 13 + 30 = 82.

  4. 4. Solve 2x + 3 = 9.

    3

    Subtract 3, then divide by 2. x = 3. Check: 2 × 3 + 3 = 9.

  5. 5. Solve 12x + 4 = 196.

    16

    Subtract 4, then divide by 12. x = 16. Check: 12 × 16 + 4 = 196.

  6. 6. Solve 7x + 22 = 92.

    10

    Subtract 22, then divide by 7. x = 10. Check: 7 × 10 + 22 = 92.

  7. 7. Solve 3x + 11 = 47.

    12

    Subtract 11, then divide by 3. x = 12. Check: 3 × 12 + 11 = 47.

  8. 8. Solve 12x + 18 = 138.

    10

    Subtract 18, then divide by 12. x = 10. Check: 12 × 10 + 18 = 138.

  9. 9. Solve 3x + 1 = 16.

    5

    Subtract 1, then divide by 3. x = 5. Check: 3 × 5 + 1 = 16.

  10. 10. Solve 2x + 10 = 28.

    9

    Subtract 10, then divide by 2. x = 9. Check: 2 × 9 + 10 = 28.

  11. 11. Solve 11x + 29 = 227.

    18

    Subtract 29, then divide by 11. x = 18. Check: 11 × 18 + 29 = 227.

  12. 12. Solve 9x + 5 = 77.

    8

    Subtract 5, then divide by 9. x = 8. Check: 9 × 8 + 5 = 77.

12 questions · Seed 57 · Age guidance, not curriculum certification