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MathsAges 16-18

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 16-18

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 2x + 6 = 34.

    LHS=RHS
    2 · 6 · 34 · Linear equations

  2. 2. Solve 2x + 13 = 19.

    LHS=RHS
    2 · 13 · 19 · Linear equations

  3. 3. Solve 4x + 16 = 80.

    LHS=RHS
    4 · 16 · 80 · Linear equations

  4. 4. Solve 4x + 4 = 24.

    LHS=RHS
    4 · 4 · 24 · Linear equations

  5. 5. Solve 2x + 5 = 9.

    LHS=RHS
    2 · 5 · 9 · Linear equations

  6. 6. Solve 6x + 26 = 104.

    LHS=RHS
    6 · 26 · 104 · Linear equations

  7. 7. Solve 4x + 27 = 47.

    LHS=RHS
    4 · 27 · 47 · Linear equations

  8. 8. Solve 3x + 15 = 36.

    LHS=RHS
    3 · 15 · 36 · Linear equations

  9. 9. Solve 9x + 18 = 54.

    LHS=RHS
    9 · 18 · 54 · Linear equations

  10. 10. Solve 3x + 19 = 43.

    LHS=RHS
    3 · 19 · 43 · Linear equations

  11. 11. Solve 6x + 19 = 31.

    LHS=RHS
    6 · 19 · 31 · Linear equations

  12. 12. Solve 9x + 23 = 167.

    LHS=RHS
    9 · 23 · 167 · Linear equations
12 questions · Seed 104737 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 16-18

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 2x + 6 = 34.

    14

    Subtract 6, then divide by 2. x = 14. Check: 2 × 14 + 6 = 34.

  2. 2. Solve 2x + 13 = 19.

    3

    Subtract 13, then divide by 2. x = 3. Check: 2 × 3 + 13 = 19.

  3. 3. Solve 4x + 16 = 80.

    16

    Subtract 16, then divide by 4. x = 16. Check: 4 × 16 + 16 = 80.

  4. 4. Solve 4x + 4 = 24.

    5

    Subtract 4, then divide by 4. x = 5. Check: 4 × 5 + 4 = 24.

  5. 5. Solve 2x + 5 = 9.

    2

    Subtract 5, then divide by 2. x = 2. Check: 2 × 2 + 5 = 9.

  6. 6. Solve 6x + 26 = 104.

    13

    Subtract 26, then divide by 6. x = 13. Check: 6 × 13 + 26 = 104.

  7. 7. Solve 4x + 27 = 47.

    5

    Subtract 27, then divide by 4. x = 5. Check: 4 × 5 + 27 = 47.

  8. 8. Solve 3x + 15 = 36.

    7

    Subtract 15, then divide by 3. x = 7. Check: 3 × 7 + 15 = 36.

  9. 9. Solve 9x + 18 = 54.

    4

    Subtract 18, then divide by 9. x = 4. Check: 9 × 4 + 18 = 54.

  10. 10. Solve 3x + 19 = 43.

    8

    Subtract 19, then divide by 3. x = 8. Check: 3 × 8 + 19 = 43.

  11. 11. Solve 6x + 19 = 31.

    2

    Subtract 19, then divide by 6. x = 2. Check: 6 × 2 + 19 = 31.

  12. 12. Solve 9x + 23 = 167.

    16

    Subtract 23, then divide by 9. x = 16. Check: 9 × 16 + 23 = 167.

12 questions · Seed 104737 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 16-18

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 2x + 6 = 34.

    LHS=RHS
    2 · 6 · 34 · Linear equations

  2. 2. Solve 2x + 13 = 19.

    LHS=RHS
    2 · 13 · 19 · Linear equations

  3. 3. Solve 4x + 16 = 80.

    LHS=RHS
    4 · 16 · 80 · Linear equations

  4. 4. Solve 4x + 4 = 24.

    LHS=RHS
    4 · 4 · 24 · Linear equations

  5. 5. Solve 2x + 5 = 9.

    LHS=RHS
    2 · 5 · 9 · Linear equations

  6. 6. Solve 6x + 26 = 104.

    LHS=RHS
    6 · 26 · 104 · Linear equations

  7. 7. Solve 4x + 27 = 47.

    LHS=RHS
    4 · 27 · 47 · Linear equations

  8. 8. Solve 3x + 15 = 36.

    LHS=RHS
    3 · 15 · 36 · Linear equations

  9. 9. Solve 9x + 18 = 54.

    LHS=RHS
    9 · 18 · 54 · Linear equations

  10. 10. Solve 3x + 19 = 43.

    LHS=RHS
    3 · 19 · 43 · Linear equations

  11. 11. Solve 6x + 19 = 31.

    LHS=RHS
    6 · 19 · 31 · Linear equations

  12. 12. Solve 9x + 23 = 167.

    LHS=RHS
    9 · 23 · 167 · Linear equations
12 questions · Seed 104737 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 16-18

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 2x + 6 = 34.

    14

    Subtract 6, then divide by 2. x = 14. Check: 2 × 14 + 6 = 34.

  2. 2. Solve 2x + 13 = 19.

    3

    Subtract 13, then divide by 2. x = 3. Check: 2 × 3 + 13 = 19.

  3. 3. Solve 4x + 16 = 80.

    16

    Subtract 16, then divide by 4. x = 16. Check: 4 × 16 + 16 = 80.

  4. 4. Solve 4x + 4 = 24.

    5

    Subtract 4, then divide by 4. x = 5. Check: 4 × 5 + 4 = 24.

  5. 5. Solve 2x + 5 = 9.

    2

    Subtract 5, then divide by 2. x = 2. Check: 2 × 2 + 5 = 9.

  6. 6. Solve 6x + 26 = 104.

    13

    Subtract 26, then divide by 6. x = 13. Check: 6 × 13 + 26 = 104.

  7. 7. Solve 4x + 27 = 47.

    5

    Subtract 27, then divide by 4. x = 5. Check: 4 × 5 + 27 = 47.

  8. 8. Solve 3x + 15 = 36.

    7

    Subtract 15, then divide by 3. x = 7. Check: 3 × 7 + 15 = 36.

  9. 9. Solve 9x + 18 = 54.

    4

    Subtract 18, then divide by 9. x = 4. Check: 9 × 4 + 18 = 54.

  10. 10. Solve 3x + 19 = 43.

    8

    Subtract 19, then divide by 3. x = 8. Check: 3 × 8 + 19 = 43.

  11. 11. Solve 6x + 19 = 31.

    2

    Subtract 19, then divide by 6. x = 2. Check: 6 × 2 + 19 = 31.

  12. 12. Solve 9x + 23 = 167.

    16

    Subtract 23, then divide by 9. x = 16. Check: 9 × 16 + 23 = 167.

12 questions · Seed 104737 · Age guidance, not curriculum certification