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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 3x + 23 = 47.

    LHS=RHS
    3 · 23 · 47 · Linear equations

  2. 2. Solve 4x + 11 = 27.

    LHS=RHS
    4 · 11 · 27 · Linear equations

  3. 3. Solve 12x + 26 = 206.

    LHS=RHS
    12 · 26 · 206 · Linear equations

  4. 4. Solve 5x + 27 = 52.

    LHS=RHS
    5 · 27 · 52 · Linear equations

  5. 5. Solve 8x + 18 = 58.

    LHS=RHS
    8 · 18 · 58 · Linear equations

  6. 6. Solve 3x + 26 = 32.

    LHS=RHS
    3 · 26 · 32 · Linear equations

  7. 7. Solve 8x + 18 = 42.

    LHS=RHS
    8 · 18 · 42 · Linear equations

  8. 8. Solve 7x + 3 = 24.

    LHS=RHS
    7 · 3 · 24 · Linear equations

  9. 9. Solve 4x + 1 = 25.

    LHS=RHS
    4 · 1 · 25 · Linear equations

  10. 10. Solve 9x + 12 = 183.

    LHS=RHS
    9 · 12 · 183 · Linear equations

  11. 11. Solve 7x + 16 = 107.

    LHS=RHS
    7 · 16 · 107 · Linear equations

  12. 12. Solve 10x + 22 = 92.

    LHS=RHS
    10 · 22 · 92 · Linear equations
12 questions · Seed 104740 · 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 3x + 23 = 47.

    8

    Subtract 23, then divide by 3. x = 8. Check: 3 × 8 + 23 = 47.

  2. 2. Solve 4x + 11 = 27.

    4

    Subtract 11, then divide by 4. x = 4. Check: 4 × 4 + 11 = 27.

  3. 3. Solve 12x + 26 = 206.

    15

    Subtract 26, then divide by 12. x = 15. Check: 12 × 15 + 26 = 206.

  4. 4. Solve 5x + 27 = 52.

    5

    Subtract 27, then divide by 5. x = 5. Check: 5 × 5 + 27 = 52.

  5. 5. Solve 8x + 18 = 58.

    5

    Subtract 18, then divide by 8. x = 5. Check: 8 × 5 + 18 = 58.

  6. 6. Solve 3x + 26 = 32.

    2

    Subtract 26, then divide by 3. x = 2. Check: 3 × 2 + 26 = 32.

  7. 7. Solve 8x + 18 = 42.

    3

    Subtract 18, then divide by 8. x = 3. Check: 8 × 3 + 18 = 42.

  8. 8. Solve 7x + 3 = 24.

    3

    Subtract 3, then divide by 7. x = 3. Check: 7 × 3 + 3 = 24.

  9. 9. Solve 4x + 1 = 25.

    6

    Subtract 1, then divide by 4. x = 6. Check: 4 × 6 + 1 = 25.

  10. 10. Solve 9x + 12 = 183.

    19

    Subtract 12, then divide by 9. x = 19. Check: 9 × 19 + 12 = 183.

  11. 11. Solve 7x + 16 = 107.

    13

    Subtract 16, then divide by 7. x = 13. Check: 7 × 13 + 16 = 107.

  12. 12. Solve 10x + 22 = 92.

    7

    Subtract 22, then divide by 10. x = 7. Check: 10 × 7 + 22 = 92.

12 questions · Seed 104740 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 16-18

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 3x + 23 = 47.

    LHS=RHS
    3 · 23 · 47 · Linear equations

  2. 2. Solve 4x + 11 = 27.

    LHS=RHS
    4 · 11 · 27 · Linear equations

  3. 3. Solve 12x + 26 = 206.

    LHS=RHS
    12 · 26 · 206 · Linear equations

  4. 4. Solve 5x + 27 = 52.

    LHS=RHS
    5 · 27 · 52 · Linear equations

  5. 5. Solve 8x + 18 = 58.

    LHS=RHS
    8 · 18 · 58 · Linear equations

  6. 6. Solve 3x + 26 = 32.

    LHS=RHS
    3 · 26 · 32 · Linear equations

  7. 7. Solve 8x + 18 = 42.

    LHS=RHS
    8 · 18 · 42 · Linear equations

  8. 8. Solve 7x + 3 = 24.

    LHS=RHS
    7 · 3 · 24 · Linear equations

  9. 9. Solve 4x + 1 = 25.

    LHS=RHS
    4 · 1 · 25 · Linear equations

  10. 10. Solve 9x + 12 = 183.

    LHS=RHS
    9 · 12 · 183 · Linear equations

  11. 11. Solve 7x + 16 = 107.

    LHS=RHS
    7 · 16 · 107 · Linear equations

  12. 12. Solve 10x + 22 = 92.

    LHS=RHS
    10 · 22 · 92 · Linear equations
12 questions · Seed 104740 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 16-18

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 3x + 23 = 47.

    8

    Subtract 23, then divide by 3. x = 8. Check: 3 × 8 + 23 = 47.

  2. 2. Solve 4x + 11 = 27.

    4

    Subtract 11, then divide by 4. x = 4. Check: 4 × 4 + 11 = 27.

  3. 3. Solve 12x + 26 = 206.

    15

    Subtract 26, then divide by 12. x = 15. Check: 12 × 15 + 26 = 206.

  4. 4. Solve 5x + 27 = 52.

    5

    Subtract 27, then divide by 5. x = 5. Check: 5 × 5 + 27 = 52.

  5. 5. Solve 8x + 18 = 58.

    5

    Subtract 18, then divide by 8. x = 5. Check: 8 × 5 + 18 = 58.

  6. 6. Solve 3x + 26 = 32.

    2

    Subtract 26, then divide by 3. x = 2. Check: 3 × 2 + 26 = 32.

  7. 7. Solve 8x + 18 = 42.

    3

    Subtract 18, then divide by 8. x = 3. Check: 8 × 3 + 18 = 42.

  8. 8. Solve 7x + 3 = 24.

    3

    Subtract 3, then divide by 7. x = 3. Check: 7 × 3 + 3 = 24.

  9. 9. Solve 4x + 1 = 25.

    6

    Subtract 1, then divide by 4. x = 6. Check: 4 × 6 + 1 = 25.

  10. 10. Solve 9x + 12 = 183.

    19

    Subtract 12, then divide by 9. x = 19. Check: 9 × 19 + 12 = 183.

  11. 11. Solve 7x + 16 = 107.

    13

    Subtract 16, then divide by 7. x = 13. Check: 7 × 13 + 16 = 107.

  12. 12. Solve 10x + 22 = 92.

    7

    Subtract 22, then divide by 10. x = 7. Check: 10 × 7 + 22 = 92.

12 questions · Seed 104740 · Age guidance, not curriculum certification