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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 9x + 14 = 50.

    LHS=RHS
    9 · 14 · 50 · Linear equations

  2. 2. Solve 8x + 29 = 77.

    LHS=RHS
    8 · 29 · 77 · Linear equations

  3. 3. Solve 3x + 8 = 20.

    LHS=RHS
    3 · 8 · 20 · Linear equations

  4. 4. Solve 5x + 27 = 42.

    LHS=RHS
    5 · 27 · 42 · Linear equations

  5. 5. Solve 12x + 29 = 65.

    LHS=RHS
    12 · 29 · 65 · Linear equations

  6. 6. Solve 4x + 30 = 82.

    LHS=RHS
    4 · 30 · 82 · Linear equations

  7. 7. Solve 10x + 18 = 68.

    LHS=RHS
    10 · 18 · 68 · Linear equations

  8. 8. Solve 4x + 26 = 74.

    LHS=RHS
    4 · 26 · 74 · Linear equations

  9. 9. Solve 6x + 9 = 105.

    LHS=RHS
    6 · 9 · 105 · Linear equations

  10. 10. Solve 2x + 21 = 39.

    LHS=RHS
    2 · 21 · 39 · Linear equations

  11. 11. Solve 6x + 16 = 52.

    LHS=RHS
    6 · 16 · 52 · Linear equations

  12. 12. Solve 8x + 16 = 88.

    LHS=RHS
    8 · 16 · 88 · Linear equations
12 questions · Seed 104730 · 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 9x + 14 = 50.

    4

    Subtract 14, then divide by 9. x = 4. Check: 9 × 4 + 14 = 50.

  2. 2. Solve 8x + 29 = 77.

    6

    Subtract 29, then divide by 8. x = 6. Check: 8 × 6 + 29 = 77.

  3. 3. Solve 3x + 8 = 20.

    4

    Subtract 8, then divide by 3. x = 4. Check: 3 × 4 + 8 = 20.

  4. 4. Solve 5x + 27 = 42.

    3

    Subtract 27, then divide by 5. x = 3. Check: 5 × 3 + 27 = 42.

  5. 5. Solve 12x + 29 = 65.

    3

    Subtract 29, then divide by 12. x = 3. Check: 12 × 3 + 29 = 65.

  6. 6. Solve 4x + 30 = 82.

    13

    Subtract 30, then divide by 4. x = 13. Check: 4 × 13 + 30 = 82.

  7. 7. Solve 10x + 18 = 68.

    5

    Subtract 18, then divide by 10. x = 5. Check: 10 × 5 + 18 = 68.

  8. 8. Solve 4x + 26 = 74.

    12

    Subtract 26, then divide by 4. x = 12. Check: 4 × 12 + 26 = 74.

  9. 9. Solve 6x + 9 = 105.

    16

    Subtract 9, then divide by 6. x = 16. Check: 6 × 16 + 9 = 105.

  10. 10. Solve 2x + 21 = 39.

    9

    Subtract 21, then divide by 2. x = 9. Check: 2 × 9 + 21 = 39.

  11. 11. Solve 6x + 16 = 52.

    6

    Subtract 16, then divide by 6. x = 6. Check: 6 × 6 + 16 = 52.

  12. 12. Solve 8x + 16 = 88.

    9

    Subtract 16, then divide by 8. x = 9. Check: 8 × 9 + 16 = 88.

12 questions · Seed 104730 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 16-18

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 9x + 14 = 50.

    LHS=RHS
    9 · 14 · 50 · Linear equations

  2. 2. Solve 8x + 29 = 77.

    LHS=RHS
    8 · 29 · 77 · Linear equations

  3. 3. Solve 3x + 8 = 20.

    LHS=RHS
    3 · 8 · 20 · Linear equations

  4. 4. Solve 5x + 27 = 42.

    LHS=RHS
    5 · 27 · 42 · Linear equations

  5. 5. Solve 12x + 29 = 65.

    LHS=RHS
    12 · 29 · 65 · Linear equations

  6. 6. Solve 4x + 30 = 82.

    LHS=RHS
    4 · 30 · 82 · Linear equations

  7. 7. Solve 10x + 18 = 68.

    LHS=RHS
    10 · 18 · 68 · Linear equations

  8. 8. Solve 4x + 26 = 74.

    LHS=RHS
    4 · 26 · 74 · Linear equations

  9. 9. Solve 6x + 9 = 105.

    LHS=RHS
    6 · 9 · 105 · Linear equations

  10. 10. Solve 2x + 21 = 39.

    LHS=RHS
    2 · 21 · 39 · Linear equations

  11. 11. Solve 6x + 16 = 52.

    LHS=RHS
    6 · 16 · 52 · Linear equations

  12. 12. Solve 8x + 16 = 88.

    LHS=RHS
    8 · 16 · 88 · Linear equations
12 questions · Seed 104730 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 16-18

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 9x + 14 = 50.

    4

    Subtract 14, then divide by 9. x = 4. Check: 9 × 4 + 14 = 50.

  2. 2. Solve 8x + 29 = 77.

    6

    Subtract 29, then divide by 8. x = 6. Check: 8 × 6 + 29 = 77.

  3. 3. Solve 3x + 8 = 20.

    4

    Subtract 8, then divide by 3. x = 4. Check: 3 × 4 + 8 = 20.

  4. 4. Solve 5x + 27 = 42.

    3

    Subtract 27, then divide by 5. x = 3. Check: 5 × 3 + 27 = 42.

  5. 5. Solve 12x + 29 = 65.

    3

    Subtract 29, then divide by 12. x = 3. Check: 12 × 3 + 29 = 65.

  6. 6. Solve 4x + 30 = 82.

    13

    Subtract 30, then divide by 4. x = 13. Check: 4 × 13 + 30 = 82.

  7. 7. Solve 10x + 18 = 68.

    5

    Subtract 18, then divide by 10. x = 5. Check: 10 × 5 + 18 = 68.

  8. 8. Solve 4x + 26 = 74.

    12

    Subtract 26, then divide by 4. x = 12. Check: 4 × 12 + 26 = 74.

  9. 9. Solve 6x + 9 = 105.

    16

    Subtract 9, then divide by 6. x = 16. Check: 6 × 16 + 9 = 105.

  10. 10. Solve 2x + 21 = 39.

    9

    Subtract 21, then divide by 2. x = 9. Check: 2 × 9 + 21 = 39.

  11. 11. Solve 6x + 16 = 52.

    6

    Subtract 16, then divide by 6. x = 6. Check: 6 × 6 + 16 = 52.

  12. 12. Solve 8x + 16 = 88.

    9

    Subtract 16, then divide by 8. x = 9. Check: 8 × 9 + 16 = 88.

12 questions · Seed 104730 · Age guidance, not curriculum certification