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ReasoningAges 7-9

Function machine rules

Apply a two-step function machine rule (multiply then add) to an input number. Review suitability for your learners before teaching.

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Worksheet StudioPractice pack · Ages 7-9

Function machine rules

Take your time. Show your thinking.

  1. 1. A number machine multiplies the input by 4 and then adds 12. When the input is 9, what is the output?

    4+812+89+8?

  2. 2. A number machine multiplies the input by 9 and then adds 1. When the input is 9, what is the output?

    9-81-89-8?

  3. 3. A number machine multiplies the input by 5 and then adds 8. When the input is 7, what is the output?

    5+38+37+3?

  4. 4. A number machine multiplies the input by 9 and then adds 9. When the input is 13, what is the output?

    9+09+013+0?

  5. 5. A number machine multiplies the input by 9 and then adds 11. When the input is 9, what is the output?

    9+211+29+2?

  6. 6. A number machine multiplies the input by 7 and then adds 5. When the input is 13, what is the output?

    7-25-213-2?

  7. 7. A number machine multiplies the input by 9 and then adds 7. When the input is 2, what is the output?

    9-27-22-2?

  8. 8. A number machine multiplies the input by 4 and then adds 11. When the input is 8, what is the output?

    4+711+78+7?

  9. 9. A number machine multiplies the input by 4 and then adds 6. When the input is 15, what is the output?

    4+26+215+2?

  10. 10. A number machine multiplies the input by 9 and then adds 4. When the input is 9, what is the output?

    9-54-59-5?

  11. 11. A number machine multiplies the input by 3 and then adds 9. When the input is 11, what is the output?

    3+69+611+6?

  12. 12. A number machine multiplies the input by 2 and then adds 6. When the input is 4, what is the output?

    2+46+44+4?
12 questions · Seed 45 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 7-9

Function machine rules

Answers and reasoning. Review before teaching.

  1. 1. A number machine multiplies the input by 4 and then adds 12. When the input is 9, what is the output?

    48

    First multiply: 9 × 4 = 36. Then add 12: 36 + 12 = 48.

  2. 2. A number machine multiplies the input by 9 and then adds 1. When the input is 9, what is the output?

    82

    First multiply: 9 × 9 = 81. Then add 1: 81 + 1 = 82.

  3. 3. A number machine multiplies the input by 5 and then adds 8. When the input is 7, what is the output?

    43

    First multiply: 7 × 5 = 35. Then add 8: 35 + 8 = 43.

  4. 4. A number machine multiplies the input by 9 and then adds 9. When the input is 13, what is the output?

    126

    First multiply: 13 × 9 = 117. Then add 9: 117 + 9 = 126.

  5. 5. A number machine multiplies the input by 9 and then adds 11. When the input is 9, what is the output?

    92

    First multiply: 9 × 9 = 81. Then add 11: 81 + 11 = 92.

  6. 6. A number machine multiplies the input by 7 and then adds 5. When the input is 13, what is the output?

    96

    First multiply: 13 × 7 = 91. Then add 5: 91 + 5 = 96.

  7. 7. A number machine multiplies the input by 9 and then adds 7. When the input is 2, what is the output?

    25

    First multiply: 2 × 9 = 18. Then add 7: 18 + 7 = 25.

  8. 8. A number machine multiplies the input by 4 and then adds 11. When the input is 8, what is the output?

    43

    First multiply: 8 × 4 = 32. Then add 11: 32 + 11 = 43.

  9. 9. A number machine multiplies the input by 4 and then adds 6. When the input is 15, what is the output?

    66

    First multiply: 15 × 4 = 60. Then add 6: 60 + 6 = 66.

  10. 10. A number machine multiplies the input by 9 and then adds 4. When the input is 9, what is the output?

    85

    First multiply: 9 × 9 = 81. Then add 4: 81 + 4 = 85.

  11. 11. A number machine multiplies the input by 3 and then adds 9. When the input is 11, what is the output?

    42

    First multiply: 11 × 3 = 33. Then add 9: 33 + 9 = 42.

  12. 12. A number machine multiplies the input by 2 and then adds 6. When the input is 4, what is the output?

    14

    First multiply: 4 × 2 = 8. Then add 6: 8 + 6 = 14.

12 questions · Seed 45 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 7-9

Function machine rules

Take your time. Show your thinking.

  1. 1. A number machine multiplies the input by 4 and then adds 12. When the input is 9, what is the output?

    4+812+89+8?

  2. 2. A number machine multiplies the input by 9 and then adds 1. When the input is 9, what is the output?

    9-81-89-8?

  3. 3. A number machine multiplies the input by 5 and then adds 8. When the input is 7, what is the output?

    5+38+37+3?

  4. 4. A number machine multiplies the input by 9 and then adds 9. When the input is 13, what is the output?

    9+09+013+0?

  5. 5. A number machine multiplies the input by 9 and then adds 11. When the input is 9, what is the output?

    9+211+29+2?

  6. 6. A number machine multiplies the input by 7 and then adds 5. When the input is 13, what is the output?

    7-25-213-2?

  7. 7. A number machine multiplies the input by 9 and then adds 7. When the input is 2, what is the output?

    9-27-22-2?

  8. 8. A number machine multiplies the input by 4 and then adds 11. When the input is 8, what is the output?

    4+711+78+7?

  9. 9. A number machine multiplies the input by 4 and then adds 6. When the input is 15, what is the output?

    4+26+215+2?

  10. 10. A number machine multiplies the input by 9 and then adds 4. When the input is 9, what is the output?

    9-54-59-5?

  11. 11. A number machine multiplies the input by 3 and then adds 9. When the input is 11, what is the output?

    3+69+611+6?

  12. 12. A number machine multiplies the input by 2 and then adds 6. When the input is 4, what is the output?

    2+46+44+4?
12 questions · Seed 45 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 7-9

Function machine rules

Answers and reasoning. Review before teaching.

  1. 1. A number machine multiplies the input by 4 and then adds 12. When the input is 9, what is the output?

    48

    First multiply: 9 × 4 = 36. Then add 12: 36 + 12 = 48.

  2. 2. A number machine multiplies the input by 9 and then adds 1. When the input is 9, what is the output?

    82

    First multiply: 9 × 9 = 81. Then add 1: 81 + 1 = 82.

  3. 3. A number machine multiplies the input by 5 and then adds 8. When the input is 7, what is the output?

    43

    First multiply: 7 × 5 = 35. Then add 8: 35 + 8 = 43.

  4. 4. A number machine multiplies the input by 9 and then adds 9. When the input is 13, what is the output?

    126

    First multiply: 13 × 9 = 117. Then add 9: 117 + 9 = 126.

  5. 5. A number machine multiplies the input by 9 and then adds 11. When the input is 9, what is the output?

    92

    First multiply: 9 × 9 = 81. Then add 11: 81 + 11 = 92.

  6. 6. A number machine multiplies the input by 7 and then adds 5. When the input is 13, what is the output?

    96

    First multiply: 13 × 7 = 91. Then add 5: 91 + 5 = 96.

  7. 7. A number machine multiplies the input by 9 and then adds 7. When the input is 2, what is the output?

    25

    First multiply: 2 × 9 = 18. Then add 7: 18 + 7 = 25.

  8. 8. A number machine multiplies the input by 4 and then adds 11. When the input is 8, what is the output?

    43

    First multiply: 8 × 4 = 32. Then add 11: 32 + 11 = 43.

  9. 9. A number machine multiplies the input by 4 and then adds 6. When the input is 15, what is the output?

    66

    First multiply: 15 × 4 = 60. Then add 6: 60 + 6 = 66.

  10. 10. A number machine multiplies the input by 9 and then adds 4. When the input is 9, what is the output?

    85

    First multiply: 9 × 9 = 81. Then add 4: 81 + 4 = 85.

  11. 11. A number machine multiplies the input by 3 and then adds 9. When the input is 11, what is the output?

    42

    First multiply: 11 × 3 = 33. Then add 9: 33 + 9 = 42.

  12. 12. A number machine multiplies the input by 2 and then adds 6. When the input is 4, what is the output?

    14

    First multiply: 4 × 2 = 8. Then add 6: 8 + 6 = 14.

12 questions · Seed 45 · Age guidance, not curriculum certification