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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 + 14 = 35.

    LHS=RHS
    3 · 14 · 35 · Linear equations

  2. 2. Solve 9x + 15 = 69.

    LHS=RHS
    9 · 15 · 69 · Linear equations

  3. 3. Solve 3x + 18 = 42.

    LHS=RHS
    3 · 18 · 42 · Linear equations

  4. 4. Solve 2x + 29 = 51.

    LHS=RHS
    2 · 29 · 51 · Linear equations

  5. 5. Solve 6x + 21 = 93.

    LHS=RHS
    6 · 21 · 93 · Linear equations

  6. 6. Solve 9x + 16 = 25.

    LHS=RHS
    9 · 16 · 25 · Linear equations

  7. 7. Solve 6x + 1 = 91.

    LHS=RHS
    6 · 1 · 91 · Linear equations

  8. 8. Solve 12x + 3 = 75.

    LHS=RHS
    12 · 3 · 75 · Linear equations

  9. 9. Solve 11x + 30 = 217.

    LHS=RHS
    11 · 30 · 217 · Linear equations

  10. 10. Solve 9x + 14 = 167.

    LHS=RHS
    9 · 14 · 167 · Linear equations

  11. 11. Solve 12x + 3 = 27.

    LHS=RHS
    12 · 3 · 27 · Linear equations

  12. 12. Solve 12x + 25 = 229.

    LHS=RHS
    12 · 25 · 229 · Linear equations
12 questions · Seed 58 · 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 + 14 = 35.

    7

    Subtract 14, then divide by 3. x = 7. Check: 3 × 7 + 14 = 35.

  2. 2. Solve 9x + 15 = 69.

    6

    Subtract 15, then divide by 9. x = 6. Check: 9 × 6 + 15 = 69.

  3. 3. Solve 3x + 18 = 42.

    8

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

  4. 4. Solve 2x + 29 = 51.

    11

    Subtract 29, then divide by 2. x = 11. Check: 2 × 11 + 29 = 51.

  5. 5. Solve 6x + 21 = 93.

    12

    Subtract 21, then divide by 6. x = 12. Check: 6 × 12 + 21 = 93.

  6. 6. Solve 9x + 16 = 25.

    1

    Subtract 16, then divide by 9. x = 1. Check: 9 × 1 + 16 = 25.

  7. 7. Solve 6x + 1 = 91.

    15

    Subtract 1, then divide by 6. x = 15. Check: 6 × 15 + 1 = 91.

  8. 8. Solve 12x + 3 = 75.

    6

    Subtract 3, then divide by 12. x = 6. Check: 12 × 6 + 3 = 75.

  9. 9. Solve 11x + 30 = 217.

    17

    Subtract 30, then divide by 11. x = 17. Check: 11 × 17 + 30 = 217.

  10. 10. Solve 9x + 14 = 167.

    17

    Subtract 14, then divide by 9. x = 17. Check: 9 × 17 + 14 = 167.

  11. 11. Solve 12x + 3 = 27.

    2

    Subtract 3, then divide by 12. x = 2. Check: 12 × 2 + 3 = 27.

  12. 12. Solve 12x + 25 = 229.

    17

    Subtract 25, then divide by 12. x = 17. Check: 12 × 17 + 25 = 229.

12 questions · Seed 58 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 16-18

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 3x + 14 = 35.

    LHS=RHS
    3 · 14 · 35 · Linear equations

  2. 2. Solve 9x + 15 = 69.

    LHS=RHS
    9 · 15 · 69 · Linear equations

  3. 3. Solve 3x + 18 = 42.

    LHS=RHS
    3 · 18 · 42 · Linear equations

  4. 4. Solve 2x + 29 = 51.

    LHS=RHS
    2 · 29 · 51 · Linear equations

  5. 5. Solve 6x + 21 = 93.

    LHS=RHS
    6 · 21 · 93 · Linear equations

  6. 6. Solve 9x + 16 = 25.

    LHS=RHS
    9 · 16 · 25 · Linear equations

  7. 7. Solve 6x + 1 = 91.

    LHS=RHS
    6 · 1 · 91 · Linear equations

  8. 8. Solve 12x + 3 = 75.

    LHS=RHS
    12 · 3 · 75 · Linear equations

  9. 9. Solve 11x + 30 = 217.

    LHS=RHS
    11 · 30 · 217 · Linear equations

  10. 10. Solve 9x + 14 = 167.

    LHS=RHS
    9 · 14 · 167 · Linear equations

  11. 11. Solve 12x + 3 = 27.

    LHS=RHS
    12 · 3 · 27 · Linear equations

  12. 12. Solve 12x + 25 = 229.

    LHS=RHS
    12 · 25 · 229 · Linear equations
12 questions · Seed 58 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 16-18

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 3x + 14 = 35.

    7

    Subtract 14, then divide by 3. x = 7. Check: 3 × 7 + 14 = 35.

  2. 2. Solve 9x + 15 = 69.

    6

    Subtract 15, then divide by 9. x = 6. Check: 9 × 6 + 15 = 69.

  3. 3. Solve 3x + 18 = 42.

    8

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

  4. 4. Solve 2x + 29 = 51.

    11

    Subtract 29, then divide by 2. x = 11. Check: 2 × 11 + 29 = 51.

  5. 5. Solve 6x + 21 = 93.

    12

    Subtract 21, then divide by 6. x = 12. Check: 6 × 12 + 21 = 93.

  6. 6. Solve 9x + 16 = 25.

    1

    Subtract 16, then divide by 9. x = 1. Check: 9 × 1 + 16 = 25.

  7. 7. Solve 6x + 1 = 91.

    15

    Subtract 1, then divide by 6. x = 15. Check: 6 × 15 + 1 = 91.

  8. 8. Solve 12x + 3 = 75.

    6

    Subtract 3, then divide by 12. x = 6. Check: 12 × 6 + 3 = 75.

  9. 9. Solve 11x + 30 = 217.

    17

    Subtract 30, then divide by 11. x = 17. Check: 11 × 17 + 30 = 217.

  10. 10. Solve 9x + 14 = 167.

    17

    Subtract 14, then divide by 9. x = 17. Check: 9 × 17 + 14 = 167.

  11. 11. Solve 12x + 3 = 27.

    2

    Subtract 3, then divide by 12. x = 2. Check: 12 × 2 + 3 = 27.

  12. 12. Solve 12x + 25 = 229.

    17

    Subtract 25, then divide by 12. x = 17. Check: 12 × 17 + 25 = 229.

12 questions · Seed 58 · Age guidance, not curriculum certification