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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 11x + 11 = 231.

    LHS=RHS
    11 · 11 · 231 · Linear equations

  2. 2. Solve 5x + 22 = 92.

    LHS=RHS
    5 · 22 · 92 · Linear equations

  3. 3. Solve 3x + 2 = 29.

    LHS=RHS
    3 · 2 · 29 · Linear equations

  4. 4. Solve 3x + 17 = 62.

    LHS=RHS
    3 · 17 · 62 · Linear equations

  5. 5. Solve 7x + 9 = 30.

    LHS=RHS
    7 · 9 · 30 · Linear equations

  6. 6. Solve 10x + 23 = 53.

    LHS=RHS
    10 · 23 · 53 · Linear equations

  7. 7. Solve 4x + 13 = 81.

    LHS=RHS
    4 · 13 · 81 · Linear equations

  8. 8. Solve 5x + 11 = 36.

    LHS=RHS
    5 · 11 · 36 · Linear equations

  9. 9. Solve 11x + 11 = 88.

    LHS=RHS
    11 · 11 · 88 · Linear equations

  10. 10. Solve 9x + 20 = 146.

    LHS=RHS
    9 · 20 · 146 · Linear equations

  11. 11. Solve 4x + 23 = 55.

    LHS=RHS
    4 · 23 · 55 · Linear equations

  12. 12. Solve 6x + 30 = 90.

    LHS=RHS
    6 · 30 · 90 · Linear equations
12 questions · Seed 104738 · 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 11x + 11 = 231.

    20

    Subtract 11, then divide by 11. x = 20. Check: 11 × 20 + 11 = 231.

  2. 2. Solve 5x + 22 = 92.

    14

    Subtract 22, then divide by 5. x = 14. Check: 5 × 14 + 22 = 92.

  3. 3. Solve 3x + 2 = 29.

    9

    Subtract 2, then divide by 3. x = 9. Check: 3 × 9 + 2 = 29.

  4. 4. Solve 3x + 17 = 62.

    15

    Subtract 17, then divide by 3. x = 15. Check: 3 × 15 + 17 = 62.

  5. 5. Solve 7x + 9 = 30.

    3

    Subtract 9, then divide by 7. x = 3. Check: 7 × 3 + 9 = 30.

  6. 6. Solve 10x + 23 = 53.

    3

    Subtract 23, then divide by 10. x = 3. Check: 10 × 3 + 23 = 53.

  7. 7. Solve 4x + 13 = 81.

    17

    Subtract 13, then divide by 4. x = 17. Check: 4 × 17 + 13 = 81.

  8. 8. Solve 5x + 11 = 36.

    5

    Subtract 11, then divide by 5. x = 5. Check: 5 × 5 + 11 = 36.

  9. 9. Solve 11x + 11 = 88.

    7

    Subtract 11, then divide by 11. x = 7. Check: 11 × 7 + 11 = 88.

  10. 10. Solve 9x + 20 = 146.

    14

    Subtract 20, then divide by 9. x = 14. Check: 9 × 14 + 20 = 146.

  11. 11. Solve 4x + 23 = 55.

    8

    Subtract 23, then divide by 4. x = 8. Check: 4 × 8 + 23 = 55.

  12. 12. Solve 6x + 30 = 90.

    10

    Subtract 30, then divide by 6. x = 10. Check: 6 × 10 + 30 = 90.

12 questions · Seed 104738 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 11x + 11 = 231.

    LHS=RHS
    11 · 11 · 231 · Linear equations

  2. 2. Solve 5x + 22 = 92.

    LHS=RHS
    5 · 22 · 92 · Linear equations

  3. 3. Solve 3x + 2 = 29.

    LHS=RHS
    3 · 2 · 29 · Linear equations

  4. 4. Solve 3x + 17 = 62.

    LHS=RHS
    3 · 17 · 62 · Linear equations

  5. 5. Solve 7x + 9 = 30.

    LHS=RHS
    7 · 9 · 30 · Linear equations

  6. 6. Solve 10x + 23 = 53.

    LHS=RHS
    10 · 23 · 53 · Linear equations

  7. 7. Solve 4x + 13 = 81.

    LHS=RHS
    4 · 13 · 81 · Linear equations

  8. 8. Solve 5x + 11 = 36.

    LHS=RHS
    5 · 11 · 36 · Linear equations

  9. 9. Solve 11x + 11 = 88.

    LHS=RHS
    11 · 11 · 88 · Linear equations

  10. 10. Solve 9x + 20 = 146.

    LHS=RHS
    9 · 20 · 146 · Linear equations

  11. 11. Solve 4x + 23 = 55.

    LHS=RHS
    4 · 23 · 55 · Linear equations

  12. 12. Solve 6x + 30 = 90.

    LHS=RHS
    6 · 30 · 90 · Linear equations
12 questions · Seed 104738 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 11x + 11 = 231.

    20

    Subtract 11, then divide by 11. x = 20. Check: 11 × 20 + 11 = 231.

  2. 2. Solve 5x + 22 = 92.

    14

    Subtract 22, then divide by 5. x = 14. Check: 5 × 14 + 22 = 92.

  3. 3. Solve 3x + 2 = 29.

    9

    Subtract 2, then divide by 3. x = 9. Check: 3 × 9 + 2 = 29.

  4. 4. Solve 3x + 17 = 62.

    15

    Subtract 17, then divide by 3. x = 15. Check: 3 × 15 + 17 = 62.

  5. 5. Solve 7x + 9 = 30.

    3

    Subtract 9, then divide by 7. x = 3. Check: 7 × 3 + 9 = 30.

  6. 6. Solve 10x + 23 = 53.

    3

    Subtract 23, then divide by 10. x = 3. Check: 10 × 3 + 23 = 53.

  7. 7. Solve 4x + 13 = 81.

    17

    Subtract 13, then divide by 4. x = 17. Check: 4 × 17 + 13 = 81.

  8. 8. Solve 5x + 11 = 36.

    5

    Subtract 11, then divide by 5. x = 5. Check: 5 × 5 + 11 = 36.

  9. 9. Solve 11x + 11 = 88.

    7

    Subtract 11, then divide by 11. x = 7. Check: 11 × 7 + 11 = 88.

  10. 10. Solve 9x + 20 = 146.

    14

    Subtract 20, then divide by 9. x = 14. Check: 9 × 14 + 20 = 146.

  11. 11. Solve 4x + 23 = 55.

    8

    Subtract 23, then divide by 4. x = 8. Check: 4 × 8 + 23 = 55.

  12. 12. Solve 6x + 30 = 90.

    10

    Subtract 30, then divide by 6. x = 10. Check: 6 × 10 + 30 = 90.

12 questions · Seed 104738 · Age guidance, not curriculum certification