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Two-step function machines

5th grade (Year 6 in England) · 16 questions · Common Core: 5.OA.B.3 · England: Y6 Algebra

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  1. Question 1

    A function machine does: × 8, then + 8. The output is 80. What was the input?

    Answer

  2. Question 2

    Inputs 3, 9, 10 give outputs 22, 58, 64. The machine multiplies by 6 and then adds a number. What number is added?

    Answer

  3. Question 3

    A function machine does: × 9, then − 1. What is the output when the input is 9?

    Answer

  4. Question 4

    A function machine does: × 7, then + 5. The output is 75. What was the input?

    Answer

  5. Question 5

    Inputs 10, 2, 8 give outputs 27, 11, 23. The machine multiplies by 2 and then adds a number. What number is added?

    Answer

  6. Question 6

    A function machine does: × 5, then + 8. What is the output when the input is 4?

    Answer

  7. Question 7

    A function machine does: × 3, then + 15. The output is 48. What was the input?

    Answer

  8. Question 8

    Inputs 6, 10, 5 give outputs 28, 44, 24. The machine multiplies by 4 and then adds a number. What number is added?

    Answer

  9. Question 9

    A function machine does: × 8, then + 15. What is the output when the input is 12?

    Answer

  10. Question 10

    A function machine does: × 3, then + 12. The output is 42. What was the input?

    Answer

  11. Question 11

    Inputs 6, 3, 5 give outputs 20, 14, 18. The machine multiplies by 2 and then adds a number. What number is added?

    Answer

  12. Question 12

    A function machine does: × 8, then − 8. What is the output when the input is 13?

    Answer

  13. Question 13

    A function machine does: × 2, then + 19. The output is 29. What was the input?

    Answer

  14. Question 14

    Inputs 10, 3, 2 give outputs 66, 24, 18. The machine multiplies by 6 and then adds a number. What number is added?

    Answer

  15. Question 15

    A function machine does: × 5, then + 12. What is the output when the input is 12?

    Answer

  16. Question 16

    A function machine does: × 9, then + 13. The output is 85. What was the input?

    Answer

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Answer key: Two-step function machines

  1. 1. 9

  2. 2. 4

  3. 3. 80

  4. 4. 10

  5. 5. 7

  6. 6. 28

  7. 7. 11

  8. 8. 4

  9. 9. 111

  10. 10. 10

  11. 11. 8

  12. 12. 96

  13. 13. 5

  14. 14. 6

  15. 15. 72

  16. 16. 8