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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 5x + 19 = 24.

    LHS=RHS
    5 · 19 · 24 · Linear equations

  2. 2. Solve 11x + 21 = 186.

    LHS=RHS
    11 · 21 · 186 · Linear equations

  3. 3. Solve 3x + 9 = 33.

    LHS=RHS
    3 · 9 · 33 · Linear equations

  4. 4. Solve 8x + 5 = 85.

    LHS=RHS
    8 · 5 · 85 · Linear equations

  5. 5. Solve 11x + 23 = 144.

    LHS=RHS
    11 · 23 · 144 · Linear equations

  6. 6. Solve 6x + 18 = 30.

    LHS=RHS
    6 · 18 · 30 · Linear equations

  7. 7. Solve 10x + 12 = 212.

    LHS=RHS
    10 · 12 · 212 · Linear equations

  8. 8. Solve 12x + 16 = 220.

    LHS=RHS
    12 · 16 · 220 · Linear equations

  9. 9. Solve 3x + 9 = 24.

    LHS=RHS
    3 · 9 · 24 · Linear equations

  10. 10. Solve 3x + 12 = 57.

    LHS=RHS
    3 · 12 · 57 · Linear equations

  11. 11. Solve 4x + 18 = 58.

    LHS=RHS
    4 · 18 · 58 · Linear equations

  12. 12. Solve 2x + 3 = 11.

    LHS=RHS
    2 · 3 · 11 · Linear equations
12 questions · Seed 44 · 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 5x + 19 = 24.

    1

    Subtract 19, then divide by 5. x = 1. Check: 5 × 1 + 19 = 24.

  2. 2. Solve 11x + 21 = 186.

    15

    Subtract 21, then divide by 11. x = 15. Check: 11 × 15 + 21 = 186.

  3. 3. Solve 3x + 9 = 33.

    8

    Subtract 9, then divide by 3. x = 8. Check: 3 × 8 + 9 = 33.

  4. 4. Solve 8x + 5 = 85.

    10

    Subtract 5, then divide by 8. x = 10. Check: 8 × 10 + 5 = 85.

  5. 5. Solve 11x + 23 = 144.

    11

    Subtract 23, then divide by 11. x = 11. Check: 11 × 11 + 23 = 144.

  6. 6. Solve 6x + 18 = 30.

    2

    Subtract 18, then divide by 6. x = 2. Check: 6 × 2 + 18 = 30.

  7. 7. Solve 10x + 12 = 212.

    20

    Subtract 12, then divide by 10. x = 20. Check: 10 × 20 + 12 = 212.

  8. 8. Solve 12x + 16 = 220.

    17

    Subtract 16, then divide by 12. x = 17. Check: 12 × 17 + 16 = 220.

  9. 9. Solve 3x + 9 = 24.

    5

    Subtract 9, then divide by 3. x = 5. Check: 3 × 5 + 9 = 24.

  10. 10. Solve 3x + 12 = 57.

    15

    Subtract 12, then divide by 3. x = 15. Check: 3 × 15 + 12 = 57.

  11. 11. Solve 4x + 18 = 58.

    10

    Subtract 18, then divide by 4. x = 10. Check: 4 × 10 + 18 = 58.

  12. 12. Solve 2x + 3 = 11.

    4

    Subtract 3, then divide by 2. x = 4. Check: 2 × 4 + 3 = 11.

12 questions · Seed 44 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 5x + 19 = 24.

    LHS=RHS
    5 · 19 · 24 · Linear equations

  2. 2. Solve 11x + 21 = 186.

    LHS=RHS
    11 · 21 · 186 · Linear equations

  3. 3. Solve 3x + 9 = 33.

    LHS=RHS
    3 · 9 · 33 · Linear equations

  4. 4. Solve 8x + 5 = 85.

    LHS=RHS
    8 · 5 · 85 · Linear equations

  5. 5. Solve 11x + 23 = 144.

    LHS=RHS
    11 · 23 · 144 · Linear equations

  6. 6. Solve 6x + 18 = 30.

    LHS=RHS
    6 · 18 · 30 · Linear equations

  7. 7. Solve 10x + 12 = 212.

    LHS=RHS
    10 · 12 · 212 · Linear equations

  8. 8. Solve 12x + 16 = 220.

    LHS=RHS
    12 · 16 · 220 · Linear equations

  9. 9. Solve 3x + 9 = 24.

    LHS=RHS
    3 · 9 · 24 · Linear equations

  10. 10. Solve 3x + 12 = 57.

    LHS=RHS
    3 · 12 · 57 · Linear equations

  11. 11. Solve 4x + 18 = 58.

    LHS=RHS
    4 · 18 · 58 · Linear equations

  12. 12. Solve 2x + 3 = 11.

    LHS=RHS
    2 · 3 · 11 · Linear equations
12 questions · Seed 44 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 5x + 19 = 24.

    1

    Subtract 19, then divide by 5. x = 1. Check: 5 × 1 + 19 = 24.

  2. 2. Solve 11x + 21 = 186.

    15

    Subtract 21, then divide by 11. x = 15. Check: 11 × 15 + 21 = 186.

  3. 3. Solve 3x + 9 = 33.

    8

    Subtract 9, then divide by 3. x = 8. Check: 3 × 8 + 9 = 33.

  4. 4. Solve 8x + 5 = 85.

    10

    Subtract 5, then divide by 8. x = 10. Check: 8 × 10 + 5 = 85.

  5. 5. Solve 11x + 23 = 144.

    11

    Subtract 23, then divide by 11. x = 11. Check: 11 × 11 + 23 = 144.

  6. 6. Solve 6x + 18 = 30.

    2

    Subtract 18, then divide by 6. x = 2. Check: 6 × 2 + 18 = 30.

  7. 7. Solve 10x + 12 = 212.

    20

    Subtract 12, then divide by 10. x = 20. Check: 10 × 20 + 12 = 212.

  8. 8. Solve 12x + 16 = 220.

    17

    Subtract 16, then divide by 12. x = 17. Check: 12 × 17 + 16 = 220.

  9. 9. Solve 3x + 9 = 24.

    5

    Subtract 9, then divide by 3. x = 5. Check: 3 × 5 + 9 = 24.

  10. 10. Solve 3x + 12 = 57.

    15

    Subtract 12, then divide by 3. x = 15. Check: 3 × 15 + 12 = 57.

  11. 11. Solve 4x + 18 = 58.

    10

    Subtract 18, then divide by 4. x = 10. Check: 4 × 10 + 18 = 58.

  12. 12. Solve 2x + 3 = 11.

    4

    Subtract 3, then divide by 2. x = 4. Check: 2 × 4 + 3 = 11.

12 questions · Seed 44 · Age guidance, not curriculum certification