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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 2x + 23 = 63.

    LHS=RHS
    2 · 23 · 63 · Linear equations

  2. 2. Solve 8x + 22 = 46.

    LHS=RHS
    8 · 22 · 46 · Linear equations

  3. 3. Solve 4x + 25 = 49.

    LHS=RHS
    4 · 25 · 49 · Linear equations

  4. 4. Solve 4x + 1 = 37.

    LHS=RHS
    4 · 1 · 37 · Linear equations

  5. 5. Solve 8x + 2 = 82.

    LHS=RHS
    8 · 2 · 82 · Linear equations

  6. 6. Solve 6x + 30 = 114.

    LHS=RHS
    6 · 30 · 114 · Linear equations

  7. 7. Solve 7x + 8 = 15.

    LHS=RHS
    7 · 8 · 15 · Linear equations

  8. 8. Solve 9x + 28 = 154.

    LHS=RHS
    9 · 28 · 154 · Linear equations

  9. 9. Solve 4x + 6 = 86.

    LHS=RHS
    4 · 6 · 86 · Linear equations

  10. 10. Solve 7x + 22 = 99.

    LHS=RHS
    7 · 22 · 99 · Linear equations

  11. 11. Solve 9x + 22 = 103.

    LHS=RHS
    9 · 22 · 103 · Linear equations

  12. 12. Solve 2x + 18 = 34.

    LHS=RHS
    2 · 18 · 34 · Linear equations
12 questions · Seed 49 · 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 2x + 23 = 63.

    20

    Subtract 23, then divide by 2. x = 20. Check: 2 × 20 + 23 = 63.

  2. 2. Solve 8x + 22 = 46.

    3

    Subtract 22, then divide by 8. x = 3. Check: 8 × 3 + 22 = 46.

  3. 3. Solve 4x + 25 = 49.

    6

    Subtract 25, then divide by 4. x = 6. Check: 4 × 6 + 25 = 49.

  4. 4. Solve 4x + 1 = 37.

    9

    Subtract 1, then divide by 4. x = 9. Check: 4 × 9 + 1 = 37.

  5. 5. Solve 8x + 2 = 82.

    10

    Subtract 2, then divide by 8. x = 10. Check: 8 × 10 + 2 = 82.

  6. 6. Solve 6x + 30 = 114.

    14

    Subtract 30, then divide by 6. x = 14. Check: 6 × 14 + 30 = 114.

  7. 7. Solve 7x + 8 = 15.

    1

    Subtract 8, then divide by 7. x = 1. Check: 7 × 1 + 8 = 15.

  8. 8. Solve 9x + 28 = 154.

    14

    Subtract 28, then divide by 9. x = 14. Check: 9 × 14 + 28 = 154.

  9. 9. Solve 4x + 6 = 86.

    20

    Subtract 6, then divide by 4. x = 20. Check: 4 × 20 + 6 = 86.

  10. 10. Solve 7x + 22 = 99.

    11

    Subtract 22, then divide by 7. x = 11. Check: 7 × 11 + 22 = 99.

  11. 11. Solve 9x + 22 = 103.

    9

    Subtract 22, then divide by 9. x = 9. Check: 9 × 9 + 22 = 103.

  12. 12. Solve 2x + 18 = 34.

    8

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

12 questions · Seed 49 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 2x + 23 = 63.

    LHS=RHS
    2 · 23 · 63 · Linear equations

  2. 2. Solve 8x + 22 = 46.

    LHS=RHS
    8 · 22 · 46 · Linear equations

  3. 3. Solve 4x + 25 = 49.

    LHS=RHS
    4 · 25 · 49 · Linear equations

  4. 4. Solve 4x + 1 = 37.

    LHS=RHS
    4 · 1 · 37 · Linear equations

  5. 5. Solve 8x + 2 = 82.

    LHS=RHS
    8 · 2 · 82 · Linear equations

  6. 6. Solve 6x + 30 = 114.

    LHS=RHS
    6 · 30 · 114 · Linear equations

  7. 7. Solve 7x + 8 = 15.

    LHS=RHS
    7 · 8 · 15 · Linear equations

  8. 8. Solve 9x + 28 = 154.

    LHS=RHS
    9 · 28 · 154 · Linear equations

  9. 9. Solve 4x + 6 = 86.

    LHS=RHS
    4 · 6 · 86 · Linear equations

  10. 10. Solve 7x + 22 = 99.

    LHS=RHS
    7 · 22 · 99 · Linear equations

  11. 11. Solve 9x + 22 = 103.

    LHS=RHS
    9 · 22 · 103 · Linear equations

  12. 12. Solve 2x + 18 = 34.

    LHS=RHS
    2 · 18 · 34 · Linear equations
12 questions · Seed 49 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 2x + 23 = 63.

    20

    Subtract 23, then divide by 2. x = 20. Check: 2 × 20 + 23 = 63.

  2. 2. Solve 8x + 22 = 46.

    3

    Subtract 22, then divide by 8. x = 3. Check: 8 × 3 + 22 = 46.

  3. 3. Solve 4x + 25 = 49.

    6

    Subtract 25, then divide by 4. x = 6. Check: 4 × 6 + 25 = 49.

  4. 4. Solve 4x + 1 = 37.

    9

    Subtract 1, then divide by 4. x = 9. Check: 4 × 9 + 1 = 37.

  5. 5. Solve 8x + 2 = 82.

    10

    Subtract 2, then divide by 8. x = 10. Check: 8 × 10 + 2 = 82.

  6. 6. Solve 6x + 30 = 114.

    14

    Subtract 30, then divide by 6. x = 14. Check: 6 × 14 + 30 = 114.

  7. 7. Solve 7x + 8 = 15.

    1

    Subtract 8, then divide by 7. x = 1. Check: 7 × 1 + 8 = 15.

  8. 8. Solve 9x + 28 = 154.

    14

    Subtract 28, then divide by 9. x = 14. Check: 9 × 14 + 28 = 154.

  9. 9. Solve 4x + 6 = 86.

    20

    Subtract 6, then divide by 4. x = 20. Check: 4 × 20 + 6 = 86.

  10. 10. Solve 7x + 22 = 99.

    11

    Subtract 22, then divide by 7. x = 11. Check: 7 × 11 + 22 = 99.

  11. 11. Solve 9x + 22 = 103.

    9

    Subtract 22, then divide by 9. x = 9. Check: 9 × 9 + 22 = 103.

  12. 12. Solve 2x + 18 = 34.

    8

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

12 questions · Seed 49 · Age guidance, not curriculum certification