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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 + 16 = 142.

    LHS=RHS
    7 · 16 · 142 · Linear equations

  2. 2. Solve 12x + 4 = 184.

    LHS=RHS
    12 · 4 · 184 · Linear equations

  3. 3. Solve 10x + 22 = 82.

    LHS=RHS
    10 · 22 · 82 · Linear equations

  4. 4. Solve 8x + 1 = 97.

    LHS=RHS
    8 · 1 · 97 · Linear equations

  5. 5. Solve 4x + 21 = 93.

    LHS=RHS
    4 · 21 · 93 · Linear equations

  6. 6. Solve 10x + 13 = 63.

    LHS=RHS
    10 · 13 · 63 · Linear equations

  7. 7. Solve 12x + 7 = 211.

    LHS=RHS
    12 · 7 · 211 · Linear equations

  8. 8. Solve 11x + 1 = 144.

    LHS=RHS
    11 · 1 · 144 · Linear equations

  9. 9. Solve 4x + 22 = 82.

    LHS=RHS
    4 · 22 · 82 · Linear equations

  10. 10. Solve 5x + 1 = 56.

    LHS=RHS
    5 · 1 · 56 · Linear equations

  11. 11. Solve 10x + 18 = 138.

    LHS=RHS
    10 · 18 · 138 · Linear equations

  12. 12. Solve 5x + 11 = 21.

    LHS=RHS
    5 · 11 · 21 · Linear equations
12 questions · Seed 104733 · 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 + 16 = 142.

    18

    Subtract 16, then divide by 7. x = 18. Check: 7 × 18 + 16 = 142.

  2. 2. Solve 12x + 4 = 184.

    15

    Subtract 4, then divide by 12. x = 15. Check: 12 × 15 + 4 = 184.

  3. 3. Solve 10x + 22 = 82.

    6

    Subtract 22, then divide by 10. x = 6. Check: 10 × 6 + 22 = 82.

  4. 4. Solve 8x + 1 = 97.

    12

    Subtract 1, then divide by 8. x = 12. Check: 8 × 12 + 1 = 97.

  5. 5. Solve 4x + 21 = 93.

    18

    Subtract 21, then divide by 4. x = 18. Check: 4 × 18 + 21 = 93.

  6. 6. Solve 10x + 13 = 63.

    5

    Subtract 13, then divide by 10. x = 5. Check: 10 × 5 + 13 = 63.

  7. 7. Solve 12x + 7 = 211.

    17

    Subtract 7, then divide by 12. x = 17. Check: 12 × 17 + 7 = 211.

  8. 8. Solve 11x + 1 = 144.

    13

    Subtract 1, then divide by 11. x = 13. Check: 11 × 13 + 1 = 144.

  9. 9. Solve 4x + 22 = 82.

    15

    Subtract 22, then divide by 4. x = 15. Check: 4 × 15 + 22 = 82.

  10. 10. Solve 5x + 1 = 56.

    11

    Subtract 1, then divide by 5. x = 11. Check: 5 × 11 + 1 = 56.

  11. 11. Solve 10x + 18 = 138.

    12

    Subtract 18, then divide by 10. x = 12. Check: 10 × 12 + 18 = 138.

  12. 12. Solve 5x + 11 = 21.

    2

    Subtract 11, then divide by 5. x = 2. Check: 5 × 2 + 11 = 21.

12 questions · Seed 104733 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 7x + 16 = 142.

    LHS=RHS
    7 · 16 · 142 · Linear equations

  2. 2. Solve 12x + 4 = 184.

    LHS=RHS
    12 · 4 · 184 · Linear equations

  3. 3. Solve 10x + 22 = 82.

    LHS=RHS
    10 · 22 · 82 · Linear equations

  4. 4. Solve 8x + 1 = 97.

    LHS=RHS
    8 · 1 · 97 · Linear equations

  5. 5. Solve 4x + 21 = 93.

    LHS=RHS
    4 · 21 · 93 · Linear equations

  6. 6. Solve 10x + 13 = 63.

    LHS=RHS
    10 · 13 · 63 · Linear equations

  7. 7. Solve 12x + 7 = 211.

    LHS=RHS
    12 · 7 · 211 · Linear equations

  8. 8. Solve 11x + 1 = 144.

    LHS=RHS
    11 · 1 · 144 · Linear equations

  9. 9. Solve 4x + 22 = 82.

    LHS=RHS
    4 · 22 · 82 · Linear equations

  10. 10. Solve 5x + 1 = 56.

    LHS=RHS
    5 · 1 · 56 · Linear equations

  11. 11. Solve 10x + 18 = 138.

    LHS=RHS
    10 · 18 · 138 · Linear equations

  12. 12. Solve 5x + 11 = 21.

    LHS=RHS
    5 · 11 · 21 · Linear equations
12 questions · Seed 104733 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 7x + 16 = 142.

    18

    Subtract 16, then divide by 7. x = 18. Check: 7 × 18 + 16 = 142.

  2. 2. Solve 12x + 4 = 184.

    15

    Subtract 4, then divide by 12. x = 15. Check: 12 × 15 + 4 = 184.

  3. 3. Solve 10x + 22 = 82.

    6

    Subtract 22, then divide by 10. x = 6. Check: 10 × 6 + 22 = 82.

  4. 4. Solve 8x + 1 = 97.

    12

    Subtract 1, then divide by 8. x = 12. Check: 8 × 12 + 1 = 97.

  5. 5. Solve 4x + 21 = 93.

    18

    Subtract 21, then divide by 4. x = 18. Check: 4 × 18 + 21 = 93.

  6. 6. Solve 10x + 13 = 63.

    5

    Subtract 13, then divide by 10. x = 5. Check: 10 × 5 + 13 = 63.

  7. 7. Solve 12x + 7 = 211.

    17

    Subtract 7, then divide by 12. x = 17. Check: 12 × 17 + 7 = 211.

  8. 8. Solve 11x + 1 = 144.

    13

    Subtract 1, then divide by 11. x = 13. Check: 11 × 13 + 1 = 144.

  9. 9. Solve 4x + 22 = 82.

    15

    Subtract 22, then divide by 4. x = 15. Check: 4 × 15 + 22 = 82.

  10. 10. Solve 5x + 1 = 56.

    11

    Subtract 1, then divide by 5. x = 11. Check: 5 × 11 + 1 = 56.

  11. 11. Solve 10x + 18 = 138.

    12

    Subtract 18, then divide by 10. x = 12. Check: 10 × 12 + 18 = 138.

  12. 12. Solve 5x + 11 = 21.

    2

    Subtract 11, then divide by 5. x = 2. Check: 5 × 2 + 11 = 21.

12 questions · Seed 104733 · Age guidance, not curriculum certification