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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 + 5 = 20.

    LHS=RHS
    3 · 5 · 20 · Linear equations

  2. 2. Solve 11x + 30 = 217.

    LHS=RHS
    11 · 30 · 217 · Linear equations

  3. 3. Solve 6x + 3 = 45.

    LHS=RHS
    6 · 3 · 45 · Linear equations

  4. 4. Solve 4x + 9 = 13.

    LHS=RHS
    4 · 9 · 13 · Linear equations

  5. 5. Solve 6x + 27 = 123.

    LHS=RHS
    6 · 27 · 123 · Linear equations

  6. 6. Solve 3x + 10 = 22.

    LHS=RHS
    3 · 10 · 22 · Linear equations

  7. 7. Solve 5x + 24 = 124.

    LHS=RHS
    5 · 24 · 124 · Linear equations

  8. 8. Solve 8x + 10 = 114.

    LHS=RHS
    8 · 10 · 114 · Linear equations

  9. 9. Solve 2x + 22 = 38.

    LHS=RHS
    2 · 22 · 38 · Linear equations

  10. 10. Solve 10x + 4 = 34.

    LHS=RHS
    10 · 4 · 34 · Linear equations

  11. 11. Solve 11x + 27 = 170.

    LHS=RHS
    11 · 27 · 170 · Linear equations

  12. 12. Solve 10x + 4 = 74.

    LHS=RHS
    10 · 4 · 74 · Linear equations
12 questions · Seed 52 · 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 + 5 = 20.

    5

    Subtract 5, then divide by 3. x = 5. Check: 3 × 5 + 5 = 20.

  2. 2. Solve 11x + 30 = 217.

    17

    Subtract 30, then divide by 11. x = 17. Check: 11 × 17 + 30 = 217.

  3. 3. Solve 6x + 3 = 45.

    7

    Subtract 3, then divide by 6. x = 7. Check: 6 × 7 + 3 = 45.

  4. 4. Solve 4x + 9 = 13.

    1

    Subtract 9, then divide by 4. x = 1. Check: 4 × 1 + 9 = 13.

  5. 5. Solve 6x + 27 = 123.

    16

    Subtract 27, then divide by 6. x = 16. Check: 6 × 16 + 27 = 123.

  6. 6. Solve 3x + 10 = 22.

    4

    Subtract 10, then divide by 3. x = 4. Check: 3 × 4 + 10 = 22.

  7. 7. Solve 5x + 24 = 124.

    20

    Subtract 24, then divide by 5. x = 20. Check: 5 × 20 + 24 = 124.

  8. 8. Solve 8x + 10 = 114.

    13

    Subtract 10, then divide by 8. x = 13. Check: 8 × 13 + 10 = 114.

  9. 9. Solve 2x + 22 = 38.

    8

    Subtract 22, then divide by 2. x = 8. Check: 2 × 8 + 22 = 38.

  10. 10. Solve 10x + 4 = 34.

    3

    Subtract 4, then divide by 10. x = 3. Check: 10 × 3 + 4 = 34.

  11. 11. Solve 11x + 27 = 170.

    13

    Subtract 27, then divide by 11. x = 13. Check: 11 × 13 + 27 = 170.

  12. 12. Solve 10x + 4 = 74.

    7

    Subtract 4, then divide by 10. x = 7. Check: 10 × 7 + 4 = 74.

12 questions · Seed 52 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 3x + 5 = 20.

    LHS=RHS
    3 · 5 · 20 · Linear equations

  2. 2. Solve 11x + 30 = 217.

    LHS=RHS
    11 · 30 · 217 · Linear equations

  3. 3. Solve 6x + 3 = 45.

    LHS=RHS
    6 · 3 · 45 · Linear equations

  4. 4. Solve 4x + 9 = 13.

    LHS=RHS
    4 · 9 · 13 · Linear equations

  5. 5. Solve 6x + 27 = 123.

    LHS=RHS
    6 · 27 · 123 · Linear equations

  6. 6. Solve 3x + 10 = 22.

    LHS=RHS
    3 · 10 · 22 · Linear equations

  7. 7. Solve 5x + 24 = 124.

    LHS=RHS
    5 · 24 · 124 · Linear equations

  8. 8. Solve 8x + 10 = 114.

    LHS=RHS
    8 · 10 · 114 · Linear equations

  9. 9. Solve 2x + 22 = 38.

    LHS=RHS
    2 · 22 · 38 · Linear equations

  10. 10. Solve 10x + 4 = 34.

    LHS=RHS
    10 · 4 · 34 · Linear equations

  11. 11. Solve 11x + 27 = 170.

    LHS=RHS
    11 · 27 · 170 · Linear equations

  12. 12. Solve 10x + 4 = 74.

    LHS=RHS
    10 · 4 · 74 · Linear equations
12 questions · Seed 52 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 3x + 5 = 20.

    5

    Subtract 5, then divide by 3. x = 5. Check: 3 × 5 + 5 = 20.

  2. 2. Solve 11x + 30 = 217.

    17

    Subtract 30, then divide by 11. x = 17. Check: 11 × 17 + 30 = 217.

  3. 3. Solve 6x + 3 = 45.

    7

    Subtract 3, then divide by 6. x = 7. Check: 6 × 7 + 3 = 45.

  4. 4. Solve 4x + 9 = 13.

    1

    Subtract 9, then divide by 4. x = 1. Check: 4 × 1 + 9 = 13.

  5. 5. Solve 6x + 27 = 123.

    16

    Subtract 27, then divide by 6. x = 16. Check: 6 × 16 + 27 = 123.

  6. 6. Solve 3x + 10 = 22.

    4

    Subtract 10, then divide by 3. x = 4. Check: 3 × 4 + 10 = 22.

  7. 7. Solve 5x + 24 = 124.

    20

    Subtract 24, then divide by 5. x = 20. Check: 5 × 20 + 24 = 124.

  8. 8. Solve 8x + 10 = 114.

    13

    Subtract 10, then divide by 8. x = 13. Check: 8 × 13 + 10 = 114.

  9. 9. Solve 2x + 22 = 38.

    8

    Subtract 22, then divide by 2. x = 8. Check: 2 × 8 + 22 = 38.

  10. 10. Solve 10x + 4 = 34.

    3

    Subtract 4, then divide by 10. x = 3. Check: 10 × 3 + 4 = 34.

  11. 11. Solve 11x + 27 = 170.

    13

    Subtract 27, then divide by 11. x = 13. Check: 11 × 13 + 27 = 170.

  12. 12. Solve 10x + 4 = 74.

    7

    Subtract 4, then divide by 10. x = 7. Check: 10 × 7 + 4 = 74.

12 questions · Seed 52 · Age guidance, not curriculum certification