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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 3x + 20 = 47.

    LHS=RHS
    3 · 20 · 47 · Linear equations

  2. 2. Solve 3x + 5 = 26.

    LHS=RHS
    3 · 5 · 26 · Linear equations

  3. 3. Solve 12x + 1 = 121.

    LHS=RHS
    12 · 1 · 121 · Linear equations

  4. 4. Solve 5x + 7 = 22.

    LHS=RHS
    5 · 7 · 22 · Linear equations

  5. 5. Solve 7x + 18 = 109.

    LHS=RHS
    7 · 18 · 109 · Linear equations

  6. 6. Solve 6x + 13 = 85.

    LHS=RHS
    6 · 13 · 85 · Linear equations

  7. 7. Solve 3x + 1 = 55.

    LHS=RHS
    3 · 1 · 55 · Linear equations

  8. 8. Solve 7x + 5 = 26.

    LHS=RHS
    7 · 5 · 26 · Linear equations

  9. 9. Solve 6x + 15 = 111.

    LHS=RHS
    6 · 15 · 111 · Linear equations

  10. 10. Solve 6x + 9 = 45.

    LHS=RHS
    6 · 9 · 45 · Linear equations

  11. 11. Solve 11x + 27 = 49.

    LHS=RHS
    11 · 27 · 49 · Linear equations

  12. 12. Solve 9x + 1 = 91.

    LHS=RHS
    9 · 1 · 91 · Linear equations
12 questions · Seed 51 · 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 3x + 20 = 47.

    9

    Subtract 20, then divide by 3. x = 9. Check: 3 × 9 + 20 = 47.

  2. 2. Solve 3x + 5 = 26.

    7

    Subtract 5, then divide by 3. x = 7. Check: 3 × 7 + 5 = 26.

  3. 3. Solve 12x + 1 = 121.

    10

    Subtract 1, then divide by 12. x = 10. Check: 12 × 10 + 1 = 121.

  4. 4. Solve 5x + 7 = 22.

    3

    Subtract 7, then divide by 5. x = 3. Check: 5 × 3 + 7 = 22.

  5. 5. Solve 7x + 18 = 109.

    13

    Subtract 18, then divide by 7. x = 13. Check: 7 × 13 + 18 = 109.

  6. 6. Solve 6x + 13 = 85.

    12

    Subtract 13, then divide by 6. x = 12. Check: 6 × 12 + 13 = 85.

  7. 7. Solve 3x + 1 = 55.

    18

    Subtract 1, then divide by 3. x = 18. Check: 3 × 18 + 1 = 55.

  8. 8. Solve 7x + 5 = 26.

    3

    Subtract 5, then divide by 7. x = 3. Check: 7 × 3 + 5 = 26.

  9. 9. Solve 6x + 15 = 111.

    16

    Subtract 15, then divide by 6. x = 16. Check: 6 × 16 + 15 = 111.

  10. 10. Solve 6x + 9 = 45.

    6

    Subtract 9, then divide by 6. x = 6. Check: 6 × 6 + 9 = 45.

  11. 11. Solve 11x + 27 = 49.

    2

    Subtract 27, then divide by 11. x = 2. Check: 11 × 2 + 27 = 49.

  12. 12. Solve 9x + 1 = 91.

    10

    Subtract 1, then divide by 9. x = 10. Check: 9 × 10 + 1 = 91.

12 questions · Seed 51 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 3x + 20 = 47.

    LHS=RHS
    3 · 20 · 47 · Linear equations

  2. 2. Solve 3x + 5 = 26.

    LHS=RHS
    3 · 5 · 26 · Linear equations

  3. 3. Solve 12x + 1 = 121.

    LHS=RHS
    12 · 1 · 121 · Linear equations

  4. 4. Solve 5x + 7 = 22.

    LHS=RHS
    5 · 7 · 22 · Linear equations

  5. 5. Solve 7x + 18 = 109.

    LHS=RHS
    7 · 18 · 109 · Linear equations

  6. 6. Solve 6x + 13 = 85.

    LHS=RHS
    6 · 13 · 85 · Linear equations

  7. 7. Solve 3x + 1 = 55.

    LHS=RHS
    3 · 1 · 55 · Linear equations

  8. 8. Solve 7x + 5 = 26.

    LHS=RHS
    7 · 5 · 26 · Linear equations

  9. 9. Solve 6x + 15 = 111.

    LHS=RHS
    6 · 15 · 111 · Linear equations

  10. 10. Solve 6x + 9 = 45.

    LHS=RHS
    6 · 9 · 45 · Linear equations

  11. 11. Solve 11x + 27 = 49.

    LHS=RHS
    11 · 27 · 49 · Linear equations

  12. 12. Solve 9x + 1 = 91.

    LHS=RHS
    9 · 1 · 91 · Linear equations
12 questions · Seed 51 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 3x + 20 = 47.

    9

    Subtract 20, then divide by 3. x = 9. Check: 3 × 9 + 20 = 47.

  2. 2. Solve 3x + 5 = 26.

    7

    Subtract 5, then divide by 3. x = 7. Check: 3 × 7 + 5 = 26.

  3. 3. Solve 12x + 1 = 121.

    10

    Subtract 1, then divide by 12. x = 10. Check: 12 × 10 + 1 = 121.

  4. 4. Solve 5x + 7 = 22.

    3

    Subtract 7, then divide by 5. x = 3. Check: 5 × 3 + 7 = 22.

  5. 5. Solve 7x + 18 = 109.

    13

    Subtract 18, then divide by 7. x = 13. Check: 7 × 13 + 18 = 109.

  6. 6. Solve 6x + 13 = 85.

    12

    Subtract 13, then divide by 6. x = 12. Check: 6 × 12 + 13 = 85.

  7. 7. Solve 3x + 1 = 55.

    18

    Subtract 1, then divide by 3. x = 18. Check: 3 × 18 + 1 = 55.

  8. 8. Solve 7x + 5 = 26.

    3

    Subtract 5, then divide by 7. x = 3. Check: 7 × 3 + 5 = 26.

  9. 9. Solve 6x + 15 = 111.

    16

    Subtract 15, then divide by 6. x = 16. Check: 6 × 16 + 15 = 111.

  10. 10. Solve 6x + 9 = 45.

    6

    Subtract 9, then divide by 6. x = 6. Check: 6 × 6 + 9 = 45.

  11. 11. Solve 11x + 27 = 49.

    2

    Subtract 27, then divide by 11. x = 2. Check: 11 × 2 + 27 = 49.

  12. 12. Solve 9x + 1 = 91.

    10

    Subtract 1, then divide by 9. x = 10. Check: 9 × 10 + 1 = 91.

12 questions · Seed 51 · Age guidance, not curriculum certification