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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 8x + 12 = 28.

    LHS=RHS
    8 · 12 · 28 · Linear equations

  2. 2. Solve 3x + 18 = 21.

    LHS=RHS
    3 · 18 · 21 · Linear equations

  3. 3. Solve 12x + 1 = 121.

    LHS=RHS
    12 · 1 · 121 · Linear equations

  4. 4. Solve 9x + 25 = 70.

    LHS=RHS
    9 · 25 · 70 · Linear equations

  5. 5. Solve 3x + 7 = 22.

    LHS=RHS
    3 · 7 · 22 · Linear equations

  6. 6. Solve 8x + 4 = 124.

    LHS=RHS
    8 · 4 · 124 · Linear equations

  7. 7. Solve 7x + 21 = 133.

    LHS=RHS
    7 · 21 · 133 · Linear equations

  8. 8. Solve 4x + 9 = 29.

    LHS=RHS
    4 · 9 · 29 · Linear equations

  9. 9. Solve 10x + 16 = 116.

    LHS=RHS
    10 · 16 · 116 · Linear equations

  10. 10. Solve 7x + 6 = 104.

    LHS=RHS
    7 · 6 · 104 · Linear equations

  11. 11. Solve 9x + 11 = 92.

    LHS=RHS
    9 · 11 · 92 · Linear equations

  12. 12. Solve 5x + 16 = 31.

    LHS=RHS
    5 · 16 · 31 · Linear equations
12 questions · Seed 104736 · 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 8x + 12 = 28.

    2

    Subtract 12, then divide by 8. x = 2. Check: 8 × 2 + 12 = 28.

  2. 2. Solve 3x + 18 = 21.

    1

    Subtract 18, then divide by 3. x = 1. Check: 3 × 1 + 18 = 21.

  3. 3. Solve 12x + 1 = 121.

    10

    Subtract 1, then divide by 12. x = 10. Check: 12 × 10 + 1 = 121.

  4. 4. Solve 9x + 25 = 70.

    5

    Subtract 25, then divide by 9. x = 5. Check: 9 × 5 + 25 = 70.

  5. 5. Solve 3x + 7 = 22.

    5

    Subtract 7, then divide by 3. x = 5. Check: 3 × 5 + 7 = 22.

  6. 6. Solve 8x + 4 = 124.

    15

    Subtract 4, then divide by 8. x = 15. Check: 8 × 15 + 4 = 124.

  7. 7. Solve 7x + 21 = 133.

    16

    Subtract 21, then divide by 7. x = 16. Check: 7 × 16 + 21 = 133.

  8. 8. Solve 4x + 9 = 29.

    5

    Subtract 9, then divide by 4. x = 5. Check: 4 × 5 + 9 = 29.

  9. 9. Solve 10x + 16 = 116.

    10

    Subtract 16, then divide by 10. x = 10. Check: 10 × 10 + 16 = 116.

  10. 10. Solve 7x + 6 = 104.

    14

    Subtract 6, then divide by 7. x = 14. Check: 7 × 14 + 6 = 104.

  11. 11. Solve 9x + 11 = 92.

    9

    Subtract 11, then divide by 9. x = 9. Check: 9 × 9 + 11 = 92.

  12. 12. Solve 5x + 16 = 31.

    3

    Subtract 16, then divide by 5. x = 3. Check: 5 × 3 + 16 = 31.

12 questions · Seed 104736 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 8x + 12 = 28.

    LHS=RHS
    8 · 12 · 28 · Linear equations

  2. 2. Solve 3x + 18 = 21.

    LHS=RHS
    3 · 18 · 21 · Linear equations

  3. 3. Solve 12x + 1 = 121.

    LHS=RHS
    12 · 1 · 121 · Linear equations

  4. 4. Solve 9x + 25 = 70.

    LHS=RHS
    9 · 25 · 70 · Linear equations

  5. 5. Solve 3x + 7 = 22.

    LHS=RHS
    3 · 7 · 22 · Linear equations

  6. 6. Solve 8x + 4 = 124.

    LHS=RHS
    8 · 4 · 124 · Linear equations

  7. 7. Solve 7x + 21 = 133.

    LHS=RHS
    7 · 21 · 133 · Linear equations

  8. 8. Solve 4x + 9 = 29.

    LHS=RHS
    4 · 9 · 29 · Linear equations

  9. 9. Solve 10x + 16 = 116.

    LHS=RHS
    10 · 16 · 116 · Linear equations

  10. 10. Solve 7x + 6 = 104.

    LHS=RHS
    7 · 6 · 104 · Linear equations

  11. 11. Solve 9x + 11 = 92.

    LHS=RHS
    9 · 11 · 92 · Linear equations

  12. 12. Solve 5x + 16 = 31.

    LHS=RHS
    5 · 16 · 31 · Linear equations
12 questions · Seed 104736 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 8x + 12 = 28.

    2

    Subtract 12, then divide by 8. x = 2. Check: 8 × 2 + 12 = 28.

  2. 2. Solve 3x + 18 = 21.

    1

    Subtract 18, then divide by 3. x = 1. Check: 3 × 1 + 18 = 21.

  3. 3. Solve 12x + 1 = 121.

    10

    Subtract 1, then divide by 12. x = 10. Check: 12 × 10 + 1 = 121.

  4. 4. Solve 9x + 25 = 70.

    5

    Subtract 25, then divide by 9. x = 5. Check: 9 × 5 + 25 = 70.

  5. 5. Solve 3x + 7 = 22.

    5

    Subtract 7, then divide by 3. x = 5. Check: 3 × 5 + 7 = 22.

  6. 6. Solve 8x + 4 = 124.

    15

    Subtract 4, then divide by 8. x = 15. Check: 8 × 15 + 4 = 124.

  7. 7. Solve 7x + 21 = 133.

    16

    Subtract 21, then divide by 7. x = 16. Check: 7 × 16 + 21 = 133.

  8. 8. Solve 4x + 9 = 29.

    5

    Subtract 9, then divide by 4. x = 5. Check: 4 × 5 + 9 = 29.

  9. 9. Solve 10x + 16 = 116.

    10

    Subtract 16, then divide by 10. x = 10. Check: 10 × 10 + 16 = 116.

  10. 10. Solve 7x + 6 = 104.

    14

    Subtract 6, then divide by 7. x = 14. Check: 7 × 14 + 6 = 104.

  11. 11. Solve 9x + 11 = 92.

    9

    Subtract 11, then divide by 9. x = 9. Check: 9 × 9 + 11 = 92.

  12. 12. Solve 5x + 16 = 31.

    3

    Subtract 16, then divide by 5. x = 3. Check: 5 × 3 + 16 = 31.

12 questions · Seed 104736 · Age guidance, not curriculum certification