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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 + 19 = 129.

    LHS=RHS
    11 · 19 · 129 · Linear equations

  2. 2. Solve 9x + 28 = 91.

    LHS=RHS
    9 · 28 · 91 · Linear equations

  3. 3. Solve 8x + 15 = 47.

    LHS=RHS
    8 · 15 · 47 · Linear equations

  4. 4. Solve 10x + 18 = 78.

    LHS=RHS
    10 · 18 · 78 · Linear equations

  5. 5. Solve 11x + 11 = 220.

    LHS=RHS
    11 · 11 · 220 · Linear equations

  6. 6. Solve 4x + 9 = 21.

    LHS=RHS
    4 · 9 · 21 · Linear equations

  7. 7. Solve 11x + 7 = 73.

    LHS=RHS
    11 · 7 · 73 · Linear equations

  8. 8. Solve 4x + 11 = 91.

    LHS=RHS
    4 · 11 · 91 · Linear equations

  9. 9. Solve 4x + 17 = 89.

    LHS=RHS
    4 · 17 · 89 · Linear equations

  10. 10. Solve 5x + 12 = 27.

    LHS=RHS
    5 · 12 · 27 · Linear equations

  11. 11. Solve 9x + 3 = 57.

    LHS=RHS
    9 · 3 · 57 · Linear equations

  12. 12. Solve 4x + 27 = 95.

    LHS=RHS
    4 · 27 · 95 · Linear equations
12 questions · Seed 42 · 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 + 19 = 129.

    10

    Subtract 19, then divide by 11. x = 10. Check: 11 × 10 + 19 = 129.

  2. 2. Solve 9x + 28 = 91.

    7

    Subtract 28, then divide by 9. x = 7. Check: 9 × 7 + 28 = 91.

  3. 3. Solve 8x + 15 = 47.

    4

    Subtract 15, then divide by 8. x = 4. Check: 8 × 4 + 15 = 47.

  4. 4. Solve 10x + 18 = 78.

    6

    Subtract 18, then divide by 10. x = 6. Check: 10 × 6 + 18 = 78.

  5. 5. Solve 11x + 11 = 220.

    19

    Subtract 11, then divide by 11. x = 19. Check: 11 × 19 + 11 = 220.

  6. 6. Solve 4x + 9 = 21.

    3

    Subtract 9, then divide by 4. x = 3. Check: 4 × 3 + 9 = 21.

  7. 7. Solve 11x + 7 = 73.

    6

    Subtract 7, then divide by 11. x = 6. Check: 11 × 6 + 7 = 73.

  8. 8. Solve 4x + 11 = 91.

    20

    Subtract 11, then divide by 4. x = 20. Check: 4 × 20 + 11 = 91.

  9. 9. Solve 4x + 17 = 89.

    18

    Subtract 17, then divide by 4. x = 18. Check: 4 × 18 + 17 = 89.

  10. 10. Solve 5x + 12 = 27.

    3

    Subtract 12, then divide by 5. x = 3. Check: 5 × 3 + 12 = 27.

  11. 11. Solve 9x + 3 = 57.

    6

    Subtract 3, then divide by 9. x = 6. Check: 9 × 6 + 3 = 57.

  12. 12. Solve 4x + 27 = 95.

    17

    Subtract 27, then divide by 4. x = 17. Check: 4 × 17 + 27 = 95.

12 questions · Seed 42 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 11x + 19 = 129.

    LHS=RHS
    11 · 19 · 129 · Linear equations

  2. 2. Solve 9x + 28 = 91.

    LHS=RHS
    9 · 28 · 91 · Linear equations

  3. 3. Solve 8x + 15 = 47.

    LHS=RHS
    8 · 15 · 47 · Linear equations

  4. 4. Solve 10x + 18 = 78.

    LHS=RHS
    10 · 18 · 78 · Linear equations

  5. 5. Solve 11x + 11 = 220.

    LHS=RHS
    11 · 11 · 220 · Linear equations

  6. 6. Solve 4x + 9 = 21.

    LHS=RHS
    4 · 9 · 21 · Linear equations

  7. 7. Solve 11x + 7 = 73.

    LHS=RHS
    11 · 7 · 73 · Linear equations

  8. 8. Solve 4x + 11 = 91.

    LHS=RHS
    4 · 11 · 91 · Linear equations

  9. 9. Solve 4x + 17 = 89.

    LHS=RHS
    4 · 17 · 89 · Linear equations

  10. 10. Solve 5x + 12 = 27.

    LHS=RHS
    5 · 12 · 27 · Linear equations

  11. 11. Solve 9x + 3 = 57.

    LHS=RHS
    9 · 3 · 57 · Linear equations

  12. 12. Solve 4x + 27 = 95.

    LHS=RHS
    4 · 27 · 95 · Linear equations
12 questions · Seed 42 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 11x + 19 = 129.

    10

    Subtract 19, then divide by 11. x = 10. Check: 11 × 10 + 19 = 129.

  2. 2. Solve 9x + 28 = 91.

    7

    Subtract 28, then divide by 9. x = 7. Check: 9 × 7 + 28 = 91.

  3. 3. Solve 8x + 15 = 47.

    4

    Subtract 15, then divide by 8. x = 4. Check: 8 × 4 + 15 = 47.

  4. 4. Solve 10x + 18 = 78.

    6

    Subtract 18, then divide by 10. x = 6. Check: 10 × 6 + 18 = 78.

  5. 5. Solve 11x + 11 = 220.

    19

    Subtract 11, then divide by 11. x = 19. Check: 11 × 19 + 11 = 220.

  6. 6. Solve 4x + 9 = 21.

    3

    Subtract 9, then divide by 4. x = 3. Check: 4 × 3 + 9 = 21.

  7. 7. Solve 11x + 7 = 73.

    6

    Subtract 7, then divide by 11. x = 6. Check: 11 × 6 + 7 = 73.

  8. 8. Solve 4x + 11 = 91.

    20

    Subtract 11, then divide by 4. x = 20. Check: 4 × 20 + 11 = 91.

  9. 9. Solve 4x + 17 = 89.

    18

    Subtract 17, then divide by 4. x = 18. Check: 4 × 18 + 17 = 89.

  10. 10. Solve 5x + 12 = 27.

    3

    Subtract 12, then divide by 5. x = 3. Check: 5 × 3 + 12 = 27.

  11. 11. Solve 9x + 3 = 57.

    6

    Subtract 3, then divide by 9. x = 6. Check: 9 × 6 + 3 = 57.

  12. 12. Solve 4x + 27 = 95.

    17

    Subtract 27, then divide by 4. x = 17. Check: 4 × 17 + 27 = 95.

12 questions · Seed 42 · Age guidance, not curriculum certification