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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 6x + 18 = 24.

    LHS=RHS
    6 · 18 · 24 · Linear equations

  2. 2. Solve 2x + 9 = 11.

    LHS=RHS
    2 · 9 · 11 · Linear equations

  3. 3. Solve 8x + 5 = 77.

    LHS=RHS
    8 · 5 · 77 · Linear equations

  4. 4. Solve 10x + 17 = 137.

    LHS=RHS
    10 · 17 · 137 · Linear equations

  5. 5. Solve 11x + 19 = 184.

    LHS=RHS
    11 · 19 · 184 · Linear equations

  6. 6. Solve 6x + 10 = 76.

    LHS=RHS
    6 · 10 · 76 · Linear equations

  7. 7. Solve 9x + 14 = 23.

    LHS=RHS
    9 · 14 · 23 · Linear equations

  8. 8. Solve 3x + 9 = 24.

    LHS=RHS
    3 · 9 · 24 · Linear equations

  9. 9. Solve 11x + 25 = 168.

    LHS=RHS
    11 · 25 · 168 · Linear equations

  10. 10. Solve 10x + 12 = 162.

    LHS=RHS
    10 · 12 · 162 · Linear equations

  11. 11. Solve 3x + 27 = 45.

    LHS=RHS
    3 · 27 · 45 · Linear equations

  12. 12. Solve 3x + 6 = 54.

    LHS=RHS
    3 · 6 · 54 · Linear equations
12 questions · Seed 54 · 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 6x + 18 = 24.

    1

    Subtract 18, then divide by 6. x = 1. Check: 6 × 1 + 18 = 24.

  2. 2. Solve 2x + 9 = 11.

    1

    Subtract 9, then divide by 2. x = 1. Check: 2 × 1 + 9 = 11.

  3. 3. Solve 8x + 5 = 77.

    9

    Subtract 5, then divide by 8. x = 9. Check: 8 × 9 + 5 = 77.

  4. 4. Solve 10x + 17 = 137.

    12

    Subtract 17, then divide by 10. x = 12. Check: 10 × 12 + 17 = 137.

  5. 5. Solve 11x + 19 = 184.

    15

    Subtract 19, then divide by 11. x = 15. Check: 11 × 15 + 19 = 184.

  6. 6. Solve 6x + 10 = 76.

    11

    Subtract 10, then divide by 6. x = 11. Check: 6 × 11 + 10 = 76.

  7. 7. Solve 9x + 14 = 23.

    1

    Subtract 14, then divide by 9. x = 1. Check: 9 × 1 + 14 = 23.

  8. 8. Solve 3x + 9 = 24.

    5

    Subtract 9, then divide by 3. x = 5. Check: 3 × 5 + 9 = 24.

  9. 9. Solve 11x + 25 = 168.

    13

    Subtract 25, then divide by 11. x = 13. Check: 11 × 13 + 25 = 168.

  10. 10. Solve 10x + 12 = 162.

    15

    Subtract 12, then divide by 10. x = 15. Check: 10 × 15 + 12 = 162.

  11. 11. Solve 3x + 27 = 45.

    6

    Subtract 27, then divide by 3. x = 6. Check: 3 × 6 + 27 = 45.

  12. 12. Solve 3x + 6 = 54.

    16

    Subtract 6, then divide by 3. x = 16. Check: 3 × 16 + 6 = 54.

12 questions · Seed 54 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 16-18

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 6x + 18 = 24.

    LHS=RHS
    6 · 18 · 24 · Linear equations

  2. 2. Solve 2x + 9 = 11.

    LHS=RHS
    2 · 9 · 11 · Linear equations

  3. 3. Solve 8x + 5 = 77.

    LHS=RHS
    8 · 5 · 77 · Linear equations

  4. 4. Solve 10x + 17 = 137.

    LHS=RHS
    10 · 17 · 137 · Linear equations

  5. 5. Solve 11x + 19 = 184.

    LHS=RHS
    11 · 19 · 184 · Linear equations

  6. 6. Solve 6x + 10 = 76.

    LHS=RHS
    6 · 10 · 76 · Linear equations

  7. 7. Solve 9x + 14 = 23.

    LHS=RHS
    9 · 14 · 23 · Linear equations

  8. 8. Solve 3x + 9 = 24.

    LHS=RHS
    3 · 9 · 24 · Linear equations

  9. 9. Solve 11x + 25 = 168.

    LHS=RHS
    11 · 25 · 168 · Linear equations

  10. 10. Solve 10x + 12 = 162.

    LHS=RHS
    10 · 12 · 162 · Linear equations

  11. 11. Solve 3x + 27 = 45.

    LHS=RHS
    3 · 27 · 45 · Linear equations

  12. 12. Solve 3x + 6 = 54.

    LHS=RHS
    3 · 6 · 54 · Linear equations
12 questions · Seed 54 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 16-18

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 6x + 18 = 24.

    1

    Subtract 18, then divide by 6. x = 1. Check: 6 × 1 + 18 = 24.

  2. 2. Solve 2x + 9 = 11.

    1

    Subtract 9, then divide by 2. x = 1. Check: 2 × 1 + 9 = 11.

  3. 3. Solve 8x + 5 = 77.

    9

    Subtract 5, then divide by 8. x = 9. Check: 8 × 9 + 5 = 77.

  4. 4. Solve 10x + 17 = 137.

    12

    Subtract 17, then divide by 10. x = 12. Check: 10 × 12 + 17 = 137.

  5. 5. Solve 11x + 19 = 184.

    15

    Subtract 19, then divide by 11. x = 15. Check: 11 × 15 + 19 = 184.

  6. 6. Solve 6x + 10 = 76.

    11

    Subtract 10, then divide by 6. x = 11. Check: 6 × 11 + 10 = 76.

  7. 7. Solve 9x + 14 = 23.

    1

    Subtract 14, then divide by 9. x = 1. Check: 9 × 1 + 14 = 23.

  8. 8. Solve 3x + 9 = 24.

    5

    Subtract 9, then divide by 3. x = 5. Check: 3 × 5 + 9 = 24.

  9. 9. Solve 11x + 25 = 168.

    13

    Subtract 25, then divide by 11. x = 13. Check: 11 × 13 + 25 = 168.

  10. 10. Solve 10x + 12 = 162.

    15

    Subtract 12, then divide by 10. x = 15. Check: 10 × 15 + 12 = 162.

  11. 11. Solve 3x + 27 = 45.

    6

    Subtract 27, then divide by 3. x = 6. Check: 3 × 6 + 27 = 45.

  12. 12. Solve 3x + 6 = 54.

    16

    Subtract 6, then divide by 3. x = 16. Check: 3 × 16 + 6 = 54.

12 questions · Seed 54 · Age guidance, not curriculum certification