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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 9x + 24 = 87.

    LHS=RHS
    9 · 24 · 87 · Linear equations

  2. 2. Solve 7x + 26 = 124.

    LHS=RHS
    7 · 26 · 124 · Linear equations

  3. 3. Solve 4x + 9 = 53.

    LHS=RHS
    4 · 9 · 53 · Linear equations

  4. 4. Solve 9x + 4 = 157.

    LHS=RHS
    9 · 4 · 157 · Linear equations

  5. 5. Solve 2x + 3 = 27.

    LHS=RHS
    2 · 3 · 27 · Linear equations

  6. 6. Solve 5x + 14 = 39.

    LHS=RHS
    5 · 14 · 39 · Linear equations

  7. 7. Solve 5x + 6 = 81.

    LHS=RHS
    5 · 6 · 81 · Linear equations

  8. 8. Solve 3x + 20 = 35.

    LHS=RHS
    3 · 20 · 35 · Linear equations

  9. 9. Solve 7x + 2 = 135.

    LHS=RHS
    7 · 2 · 135 · Linear equations

  10. 10. Solve 10x + 18 = 68.

    LHS=RHS
    10 · 18 · 68 · Linear equations

  11. 11. Solve 10x + 17 = 137.

    LHS=RHS
    10 · 17 · 137 · Linear equations

  12. 12. Solve 12x + 3 = 15.

    LHS=RHS
    12 · 3 · 15 · Linear equations
12 questions · Seed 104739 · 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 9x + 24 = 87.

    7

    Subtract 24, then divide by 9. x = 7. Check: 9 × 7 + 24 = 87.

  2. 2. Solve 7x + 26 = 124.

    14

    Subtract 26, then divide by 7. x = 14. Check: 7 × 14 + 26 = 124.

  3. 3. Solve 4x + 9 = 53.

    11

    Subtract 9, then divide by 4. x = 11. Check: 4 × 11 + 9 = 53.

  4. 4. Solve 9x + 4 = 157.

    17

    Subtract 4, then divide by 9. x = 17. Check: 9 × 17 + 4 = 157.

  5. 5. Solve 2x + 3 = 27.

    12

    Subtract 3, then divide by 2. x = 12. Check: 2 × 12 + 3 = 27.

  6. 6. Solve 5x + 14 = 39.

    5

    Subtract 14, then divide by 5. x = 5. Check: 5 × 5 + 14 = 39.

  7. 7. Solve 5x + 6 = 81.

    15

    Subtract 6, then divide by 5. x = 15. Check: 5 × 15 + 6 = 81.

  8. 8. Solve 3x + 20 = 35.

    5

    Subtract 20, then divide by 3. x = 5. Check: 3 × 5 + 20 = 35.

  9. 9. Solve 7x + 2 = 135.

    19

    Subtract 2, then divide by 7. x = 19. Check: 7 × 19 + 2 = 135.

  10. 10. Solve 10x + 18 = 68.

    5

    Subtract 18, then divide by 10. x = 5. Check: 10 × 5 + 18 = 68.

  11. 11. Solve 10x + 17 = 137.

    12

    Subtract 17, then divide by 10. x = 12. Check: 10 × 12 + 17 = 137.

  12. 12. Solve 12x + 3 = 15.

    1

    Subtract 3, then divide by 12. x = 1. Check: 12 × 1 + 3 = 15.

12 questions · Seed 104739 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 9x + 24 = 87.

    LHS=RHS
    9 · 24 · 87 · Linear equations

  2. 2. Solve 7x + 26 = 124.

    LHS=RHS
    7 · 26 · 124 · Linear equations

  3. 3. Solve 4x + 9 = 53.

    LHS=RHS
    4 · 9 · 53 · Linear equations

  4. 4. Solve 9x + 4 = 157.

    LHS=RHS
    9 · 4 · 157 · Linear equations

  5. 5. Solve 2x + 3 = 27.

    LHS=RHS
    2 · 3 · 27 · Linear equations

  6. 6. Solve 5x + 14 = 39.

    LHS=RHS
    5 · 14 · 39 · Linear equations

  7. 7. Solve 5x + 6 = 81.

    LHS=RHS
    5 · 6 · 81 · Linear equations

  8. 8. Solve 3x + 20 = 35.

    LHS=RHS
    3 · 20 · 35 · Linear equations

  9. 9. Solve 7x + 2 = 135.

    LHS=RHS
    7 · 2 · 135 · Linear equations

  10. 10. Solve 10x + 18 = 68.

    LHS=RHS
    10 · 18 · 68 · Linear equations

  11. 11. Solve 10x + 17 = 137.

    LHS=RHS
    10 · 17 · 137 · Linear equations

  12. 12. Solve 12x + 3 = 15.

    LHS=RHS
    12 · 3 · 15 · Linear equations
12 questions · Seed 104739 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 9x + 24 = 87.

    7

    Subtract 24, then divide by 9. x = 7. Check: 9 × 7 + 24 = 87.

  2. 2. Solve 7x + 26 = 124.

    14

    Subtract 26, then divide by 7. x = 14. Check: 7 × 14 + 26 = 124.

  3. 3. Solve 4x + 9 = 53.

    11

    Subtract 9, then divide by 4. x = 11. Check: 4 × 11 + 9 = 53.

  4. 4. Solve 9x + 4 = 157.

    17

    Subtract 4, then divide by 9. x = 17. Check: 9 × 17 + 4 = 157.

  5. 5. Solve 2x + 3 = 27.

    12

    Subtract 3, then divide by 2. x = 12. Check: 2 × 12 + 3 = 27.

  6. 6. Solve 5x + 14 = 39.

    5

    Subtract 14, then divide by 5. x = 5. Check: 5 × 5 + 14 = 39.

  7. 7. Solve 5x + 6 = 81.

    15

    Subtract 6, then divide by 5. x = 15. Check: 5 × 15 + 6 = 81.

  8. 8. Solve 3x + 20 = 35.

    5

    Subtract 20, then divide by 3. x = 5. Check: 3 × 5 + 20 = 35.

  9. 9. Solve 7x + 2 = 135.

    19

    Subtract 2, then divide by 7. x = 19. Check: 7 × 19 + 2 = 135.

  10. 10. Solve 10x + 18 = 68.

    5

    Subtract 18, then divide by 10. x = 5. Check: 10 × 5 + 18 = 68.

  11. 11. Solve 10x + 17 = 137.

    12

    Subtract 17, then divide by 10. x = 12. Check: 10 × 12 + 17 = 137.

  12. 12. Solve 12x + 3 = 15.

    1

    Subtract 3, then divide by 12. x = 1. Check: 12 × 1 + 3 = 15.

12 questions · Seed 104739 · Age guidance, not curriculum certification