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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 8 and then adds 3. When the input is 9, what is the output?

    8-53-59-5?

  2. 2. A number machine multiplies the input by 3 and then adds 14. When the input is 13, what is the output?

    3+1114+1113+11?

  3. 3. A number machine multiplies the input by 6 and then adds 3. When the input is 7, what is the output?

    6-33-37-3?

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

    4+04+015+0?

  5. 5. A number machine multiplies the input by 4 and then adds 1. When the input is 5, what is the output?

    4-31-35-3?

  6. 6. A number machine multiplies the input by 9 and then adds 14. When the input is 9, what is the output?

    9+514+59+5?

  7. 7. A number machine multiplies the input by 9 and then adds 6. When the input is 11, what is the output?

    9-36-311-3?

  8. 8. A number machine multiplies the input by 9 and then adds 3. When the input is 4, what is the output?

    9-63-64-6?

  9. 9. A number machine multiplies the input by 8 and then adds 14. When the input is 2, what is the output?

    8+614+62+6?

  10. 10. A number machine multiplies the input by 3 and then adds 10. When the input is 8, what is the output?

    3+710+78+7?

  11. 11. A number machine multiplies the input by 3 and then adds 12. When the input is 5, what is the output?

    3+912+95+9?

  12. 12. A number machine multiplies the input by 5 and then adds 15. When the input is 14, what is the output?

    5+1015+1014+10?
12 questions · Seed 44 · 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 8 and then adds 3. When the input is 9, what is the output?

    75

    First multiply: 9 × 8 = 72. Then add 3: 72 + 3 = 75.

  2. 2. A number machine multiplies the input by 3 and then adds 14. When the input is 13, what is the output?

    53

    First multiply: 13 × 3 = 39. Then add 14: 39 + 14 = 53.

  3. 3. A number machine multiplies the input by 6 and then adds 3. When the input is 7, what is the output?

    45

    First multiply: 7 × 6 = 42. Then add 3: 42 + 3 = 45.

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

    64

    First multiply: 15 × 4 = 60. Then add 4: 60 + 4 = 64.

  5. 5. A number machine multiplies the input by 4 and then adds 1. When the input is 5, what is the output?

    21

    First multiply: 5 × 4 = 20. Then add 1: 20 + 1 = 21.

  6. 6. A number machine multiplies the input by 9 and then adds 14. When the input is 9, what is the output?

    95

    First multiply: 9 × 9 = 81. Then add 14: 81 + 14 = 95.

  7. 7. A number machine multiplies the input by 9 and then adds 6. When the input is 11, what is the output?

    105

    First multiply: 11 × 9 = 99. Then add 6: 99 + 6 = 105.

  8. 8. A number machine multiplies the input by 9 and then adds 3. When the input is 4, what is the output?

    39

    First multiply: 4 × 9 = 36. Then add 3: 36 + 3 = 39.

  9. 9. A number machine multiplies the input by 8 and then adds 14. When the input is 2, what is the output?

    30

    First multiply: 2 × 8 = 16. Then add 14: 16 + 14 = 30.

  10. 10. A number machine multiplies the input by 3 and then adds 10. When the input is 8, what is the output?

    34

    First multiply: 8 × 3 = 24. Then add 10: 24 + 10 = 34.

  11. 11. A number machine multiplies the input by 3 and then adds 12. When the input is 5, what is the output?

    27

    First multiply: 5 × 3 = 15. Then add 12: 15 + 12 = 27.

  12. 12. A number machine multiplies the input by 5 and then adds 15. When the input is 14, what is the output?

    85

    First multiply: 14 × 5 = 70. Then add 15: 70 + 15 = 85.

12 questions · Seed 44 · 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 8 and then adds 3. When the input is 9, what is the output?

    8-53-59-5?

  2. 2. A number machine multiplies the input by 3 and then adds 14. When the input is 13, what is the output?

    3+1114+1113+11?

  3. 3. A number machine multiplies the input by 6 and then adds 3. When the input is 7, what is the output?

    6-33-37-3?

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

    4+04+015+0?

  5. 5. A number machine multiplies the input by 4 and then adds 1. When the input is 5, what is the output?

    4-31-35-3?

  6. 6. A number machine multiplies the input by 9 and then adds 14. When the input is 9, what is the output?

    9+514+59+5?

  7. 7. A number machine multiplies the input by 9 and then adds 6. When the input is 11, what is the output?

    9-36-311-3?

  8. 8. A number machine multiplies the input by 9 and then adds 3. When the input is 4, what is the output?

    9-63-64-6?

  9. 9. A number machine multiplies the input by 8 and then adds 14. When the input is 2, what is the output?

    8+614+62+6?

  10. 10. A number machine multiplies the input by 3 and then adds 10. When the input is 8, what is the output?

    3+710+78+7?

  11. 11. A number machine multiplies the input by 3 and then adds 12. When the input is 5, what is the output?

    3+912+95+9?

  12. 12. A number machine multiplies the input by 5 and then adds 15. When the input is 14, what is the output?

    5+1015+1014+10?
12 questions · Seed 44 · 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 8 and then adds 3. When the input is 9, what is the output?

    75

    First multiply: 9 × 8 = 72. Then add 3: 72 + 3 = 75.

  2. 2. A number machine multiplies the input by 3 and then adds 14. When the input is 13, what is the output?

    53

    First multiply: 13 × 3 = 39. Then add 14: 39 + 14 = 53.

  3. 3. A number machine multiplies the input by 6 and then adds 3. When the input is 7, what is the output?

    45

    First multiply: 7 × 6 = 42. Then add 3: 42 + 3 = 45.

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

    64

    First multiply: 15 × 4 = 60. Then add 4: 60 + 4 = 64.

  5. 5. A number machine multiplies the input by 4 and then adds 1. When the input is 5, what is the output?

    21

    First multiply: 5 × 4 = 20. Then add 1: 20 + 1 = 21.

  6. 6. A number machine multiplies the input by 9 and then adds 14. When the input is 9, what is the output?

    95

    First multiply: 9 × 9 = 81. Then add 14: 81 + 14 = 95.

  7. 7. A number machine multiplies the input by 9 and then adds 6. When the input is 11, what is the output?

    105

    First multiply: 11 × 9 = 99. Then add 6: 99 + 6 = 105.

  8. 8. A number machine multiplies the input by 9 and then adds 3. When the input is 4, what is the output?

    39

    First multiply: 4 × 9 = 36. Then add 3: 36 + 3 = 39.

  9. 9. A number machine multiplies the input by 8 and then adds 14. When the input is 2, what is the output?

    30

    First multiply: 2 × 8 = 16. Then add 14: 16 + 14 = 30.

  10. 10. A number machine multiplies the input by 3 and then adds 10. When the input is 8, what is the output?

    34

    First multiply: 8 × 3 = 24. Then add 10: 24 + 10 = 34.

  11. 11. A number machine multiplies the input by 3 and then adds 12. When the input is 5, what is the output?

    27

    First multiply: 5 × 3 = 15. Then add 12: 15 + 12 = 27.

  12. 12. A number machine multiplies the input by 5 and then adds 15. When the input is 14, what is the output?

    85

    First multiply: 14 × 5 = 70. Then add 15: 70 + 15 = 85.

12 questions · Seed 44 · Age guidance, not curriculum certification