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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 7x + 25 = 74.

    LHS=RHS
    7 · 25 · 74 · Linear equations

  2. 2. Solve 7x + 28 = 126.

    LHS=RHS
    7 · 28 · 126 · Linear equations

  3. 3. Solve 8x + 18 = 34.

    LHS=RHS
    8 · 18 · 34 · Linear equations

  4. 4. Solve 8x + 21 = 45.

    LHS=RHS
    8 · 21 · 45 · Linear equations

  5. 5. Solve 6x + 19 = 115.

    LHS=RHS
    6 · 19 · 115 · Linear equations

  6. 6. Solve 3x + 16 = 55.

    LHS=RHS
    3 · 16 · 55 · Linear equations

  7. 7. Solve 5x + 5 = 20.

    LHS=RHS
    5 · 5 · 20 · Linear equations

  8. 8. Solve 9x + 9 = 36.

    LHS=RHS
    9 · 9 · 36 · Linear equations

  9. 9. Solve 6x + 27 = 33.

    LHS=RHS
    6 · 27 · 33 · Linear equations

  10. 10. Solve 9x + 25 = 133.

    LHS=RHS
    9 · 25 · 133 · Linear equations

  11. 11. Solve 9x + 14 = 131.

    LHS=RHS
    9 · 14 · 131 · Linear equations

  12. 12. Solve 4x + 13 = 29.

    LHS=RHS
    4 · 13 · 29 · Linear equations
12 questions · Seed 104732 · 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 7x + 25 = 74.

    7

    Subtract 25, then divide by 7. x = 7. Check: 7 × 7 + 25 = 74.

  2. 2. Solve 7x + 28 = 126.

    14

    Subtract 28, then divide by 7. x = 14. Check: 7 × 14 + 28 = 126.

  3. 3. Solve 8x + 18 = 34.

    2

    Subtract 18, then divide by 8. x = 2. Check: 8 × 2 + 18 = 34.

  4. 4. Solve 8x + 21 = 45.

    3

    Subtract 21, then divide by 8. x = 3. Check: 8 × 3 + 21 = 45.

  5. 5. Solve 6x + 19 = 115.

    16

    Subtract 19, then divide by 6. x = 16. Check: 6 × 16 + 19 = 115.

  6. 6. Solve 3x + 16 = 55.

    13

    Subtract 16, then divide by 3. x = 13. Check: 3 × 13 + 16 = 55.

  7. 7. Solve 5x + 5 = 20.

    3

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

  8. 8. Solve 9x + 9 = 36.

    3

    Subtract 9, then divide by 9. x = 3. Check: 9 × 3 + 9 = 36.

  9. 9. Solve 6x + 27 = 33.

    1

    Subtract 27, then divide by 6. x = 1. Check: 6 × 1 + 27 = 33.

  10. 10. Solve 9x + 25 = 133.

    12

    Subtract 25, then divide by 9. x = 12. Check: 9 × 12 + 25 = 133.

  11. 11. Solve 9x + 14 = 131.

    13

    Subtract 14, then divide by 9. x = 13. Check: 9 × 13 + 14 = 131.

  12. 12. Solve 4x + 13 = 29.

    4

    Subtract 13, then divide by 4. x = 4. Check: 4 × 4 + 13 = 29.

12 questions · Seed 104732 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 7x + 25 = 74.

    LHS=RHS
    7 · 25 · 74 · Linear equations

  2. 2. Solve 7x + 28 = 126.

    LHS=RHS
    7 · 28 · 126 · Linear equations

  3. 3. Solve 8x + 18 = 34.

    LHS=RHS
    8 · 18 · 34 · Linear equations

  4. 4. Solve 8x + 21 = 45.

    LHS=RHS
    8 · 21 · 45 · Linear equations

  5. 5. Solve 6x + 19 = 115.

    LHS=RHS
    6 · 19 · 115 · Linear equations

  6. 6. Solve 3x + 16 = 55.

    LHS=RHS
    3 · 16 · 55 · Linear equations

  7. 7. Solve 5x + 5 = 20.

    LHS=RHS
    5 · 5 · 20 · Linear equations

  8. 8. Solve 9x + 9 = 36.

    LHS=RHS
    9 · 9 · 36 · Linear equations

  9. 9. Solve 6x + 27 = 33.

    LHS=RHS
    6 · 27 · 33 · Linear equations

  10. 10. Solve 9x + 25 = 133.

    LHS=RHS
    9 · 25 · 133 · Linear equations

  11. 11. Solve 9x + 14 = 131.

    LHS=RHS
    9 · 14 · 131 · Linear equations

  12. 12. Solve 4x + 13 = 29.

    LHS=RHS
    4 · 13 · 29 · Linear equations
12 questions · Seed 104732 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 7x + 25 = 74.

    7

    Subtract 25, then divide by 7. x = 7. Check: 7 × 7 + 25 = 74.

  2. 2. Solve 7x + 28 = 126.

    14

    Subtract 28, then divide by 7. x = 14. Check: 7 × 14 + 28 = 126.

  3. 3. Solve 8x + 18 = 34.

    2

    Subtract 18, then divide by 8. x = 2. Check: 8 × 2 + 18 = 34.

  4. 4. Solve 8x + 21 = 45.

    3

    Subtract 21, then divide by 8. x = 3. Check: 8 × 3 + 21 = 45.

  5. 5. Solve 6x + 19 = 115.

    16

    Subtract 19, then divide by 6. x = 16. Check: 6 × 16 + 19 = 115.

  6. 6. Solve 3x + 16 = 55.

    13

    Subtract 16, then divide by 3. x = 13. Check: 3 × 13 + 16 = 55.

  7. 7. Solve 5x + 5 = 20.

    3

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

  8. 8. Solve 9x + 9 = 36.

    3

    Subtract 9, then divide by 9. x = 3. Check: 9 × 3 + 9 = 36.

  9. 9. Solve 6x + 27 = 33.

    1

    Subtract 27, then divide by 6. x = 1. Check: 6 × 1 + 27 = 33.

  10. 10. Solve 9x + 25 = 133.

    12

    Subtract 25, then divide by 9. x = 12. Check: 9 × 12 + 25 = 133.

  11. 11. Solve 9x + 14 = 131.

    13

    Subtract 14, then divide by 9. x = 13. Check: 9 × 13 + 14 = 131.

  12. 12. Solve 4x + 13 = 29.

    4

    Subtract 13, then divide by 4. x = 4. Check: 4 × 4 + 13 = 29.

12 questions · Seed 104732 · Age guidance, not curriculum certification