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MathsAges 13-15

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 13-15

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 11x + 28 = 182.

    LHS=RHS
    11 · 28 · 182 · Linear equations

  2. 2. Solve 2x + 13 = 53.

    LHS=RHS
    2 · 13 · 53 · Linear equations

  3. 3. Solve 11x + 24 = 112.

    LHS=RHS
    11 · 24 · 112 · Linear equations

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

    LHS=RHS
    3 · 8 · 20 · Linear equations

  5. 5. Solve 9x + 13 = 157.

    LHS=RHS
    9 · 13 · 157 · Linear equations

  6. 6. Solve 2x + 13 = 39.

    LHS=RHS
    2 · 13 · 39 · Linear equations

  7. 7. Solve 6x + 28 = 136.

    LHS=RHS
    6 · 28 · 136 · Linear equations

  8. 8. Solve 6x + 30 = 60.

    LHS=RHS
    6 · 30 · 60 · Linear equations

  9. 9. Solve 2x + 25 = 63.

    LHS=RHS
    2 · 25 · 63 · Linear equations

  10. 10. Solve 6x + 8 = 20.

    LHS=RHS
    6 · 8 · 20 · Linear equations

  11. 11. Solve 3x + 18 = 33.

    LHS=RHS
    3 · 18 · 33 · Linear equations

  12. 12. Solve 10x + 13 = 123.

    LHS=RHS
    10 · 13 · 123 · Linear equations
12 questions · Seed 104735 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 13-15

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 11x + 28 = 182.

    14

    Subtract 28, then divide by 11. x = 14. Check: 11 × 14 + 28 = 182.

  2. 2. Solve 2x + 13 = 53.

    20

    Subtract 13, then divide by 2. x = 20. Check: 2 × 20 + 13 = 53.

  3. 3. Solve 11x + 24 = 112.

    8

    Subtract 24, then divide by 11. x = 8. Check: 11 × 8 + 24 = 112.

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

    4

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

  5. 5. Solve 9x + 13 = 157.

    16

    Subtract 13, then divide by 9. x = 16. Check: 9 × 16 + 13 = 157.

  6. 6. Solve 2x + 13 = 39.

    13

    Subtract 13, then divide by 2. x = 13. Check: 2 × 13 + 13 = 39.

  7. 7. Solve 6x + 28 = 136.

    18

    Subtract 28, then divide by 6. x = 18. Check: 6 × 18 + 28 = 136.

  8. 8. Solve 6x + 30 = 60.

    5

    Subtract 30, then divide by 6. x = 5. Check: 6 × 5 + 30 = 60.

  9. 9. Solve 2x + 25 = 63.

    19

    Subtract 25, then divide by 2. x = 19. Check: 2 × 19 + 25 = 63.

  10. 10. Solve 6x + 8 = 20.

    2

    Subtract 8, then divide by 6. x = 2. Check: 6 × 2 + 8 = 20.

  11. 11. Solve 3x + 18 = 33.

    5

    Subtract 18, then divide by 3. x = 5. Check: 3 × 5 + 18 = 33.

  12. 12. Solve 10x + 13 = 123.

    11

    Subtract 13, then divide by 10. x = 11. Check: 10 × 11 + 13 = 123.

12 questions · Seed 104735 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Linear equations

Take your time. Show your thinking.

  1. 1. Solve 11x + 28 = 182.

    LHS=RHS
    11 · 28 · 182 · Linear equations

  2. 2. Solve 2x + 13 = 53.

    LHS=RHS
    2 · 13 · 53 · Linear equations

  3. 3. Solve 11x + 24 = 112.

    LHS=RHS
    11 · 24 · 112 · Linear equations

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

    LHS=RHS
    3 · 8 · 20 · Linear equations

  5. 5. Solve 9x + 13 = 157.

    LHS=RHS
    9 · 13 · 157 · Linear equations

  6. 6. Solve 2x + 13 = 39.

    LHS=RHS
    2 · 13 · 39 · Linear equations

  7. 7. Solve 6x + 28 = 136.

    LHS=RHS
    6 · 28 · 136 · Linear equations

  8. 8. Solve 6x + 30 = 60.

    LHS=RHS
    6 · 30 · 60 · Linear equations

  9. 9. Solve 2x + 25 = 63.

    LHS=RHS
    2 · 25 · 63 · Linear equations

  10. 10. Solve 6x + 8 = 20.

    LHS=RHS
    6 · 8 · 20 · Linear equations

  11. 11. Solve 3x + 18 = 33.

    LHS=RHS
    3 · 18 · 33 · Linear equations

  12. 12. Solve 10x + 13 = 123.

    LHS=RHS
    10 · 13 · 123 · Linear equations
12 questions · Seed 104735 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Linear equations

Answers and reasoning. Review before teaching.

  1. 1. Solve 11x + 28 = 182.

    14

    Subtract 28, then divide by 11. x = 14. Check: 11 × 14 + 28 = 182.

  2. 2. Solve 2x + 13 = 53.

    20

    Subtract 13, then divide by 2. x = 20. Check: 2 × 20 + 13 = 53.

  3. 3. Solve 11x + 24 = 112.

    8

    Subtract 24, then divide by 11. x = 8. Check: 11 × 8 + 24 = 112.

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

    4

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

  5. 5. Solve 9x + 13 = 157.

    16

    Subtract 13, then divide by 9. x = 16. Check: 9 × 16 + 13 = 157.

  6. 6. Solve 2x + 13 = 39.

    13

    Subtract 13, then divide by 2. x = 13. Check: 2 × 13 + 13 = 39.

  7. 7. Solve 6x + 28 = 136.

    18

    Subtract 28, then divide by 6. x = 18. Check: 6 × 18 + 28 = 136.

  8. 8. Solve 6x + 30 = 60.

    5

    Subtract 30, then divide by 6. x = 5. Check: 6 × 5 + 30 = 60.

  9. 9. Solve 2x + 25 = 63.

    19

    Subtract 25, then divide by 2. x = 19. Check: 2 × 19 + 25 = 63.

  10. 10. Solve 6x + 8 = 20.

    2

    Subtract 8, then divide by 6. x = 2. Check: 6 × 2 + 8 = 20.

  11. 11. Solve 3x + 18 = 33.

    5

    Subtract 18, then divide by 3. x = 5. Check: 3 × 5 + 18 = 33.

  12. 12. Solve 10x + 13 = 123.

    11

    Subtract 13, then divide by 10. x = 11. Check: 10 × 11 + 13 = 123.

12 questions · Seed 104735 · Age guidance, not curriculum certification