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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 5. When the input is 4, what is the output?

    8-35-34-3?

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

    7+07+013+0?

  3. 3. A number machine multiplies the input by 8 and then adds 15. When the input is 8, what is the output?

    8+715+78+7?

  4. 4. A number machine multiplies the input by 4 and then adds 7. When the input is 11, what is the output?

    4+37+311+3?

  5. 5. A number machine multiplies the input by 9 and then adds 2. When the input is 4, what is the output?

    9-72-74-7?

  6. 6. A number machine multiplies the input by 6 and then adds 3. When the input is 5, what is the output?

    6-33-35-3?

  7. 7. A number machine multiplies the input by 9 and then adds 11. When the input is 15, what is the output?

    9+211+215+2?

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

    2+13+114+1?

  9. 9. A number machine multiplies the input by 7 and then adds 7. When the input is 10, what is the output?

    7+07+010+0?

  10. 10. A number machine multiplies the input by 6 and then adds 8. When the input is 6, what is the output?

    6+28+26+2?

  11. 11. A number machine multiplies the input by 6 and then adds 14. When the input is 3, what is the output?

    6+814+83+8?

  12. 12. A number machine multiplies the input by 6 and then adds 15. When the input is 3, what is the output?

    6+915+93+9?
12 questions · Seed 47 · 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 5. When the input is 4, what is the output?

    37

    First multiply: 4 × 8 = 32. Then add 5: 32 + 5 = 37.

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

    98

    First multiply: 13 × 7 = 91. Then add 7: 91 + 7 = 98.

  3. 3. A number machine multiplies the input by 8 and then adds 15. When the input is 8, what is the output?

    79

    First multiply: 8 × 8 = 64. Then add 15: 64 + 15 = 79.

  4. 4. A number machine multiplies the input by 4 and then adds 7. When the input is 11, what is the output?

    51

    First multiply: 11 × 4 = 44. Then add 7: 44 + 7 = 51.

  5. 5. A number machine multiplies the input by 9 and then adds 2. When the input is 4, what is the output?

    38

    First multiply: 4 × 9 = 36. Then add 2: 36 + 2 = 38.

  6. 6. A number machine multiplies the input by 6 and then adds 3. When the input is 5, what is the output?

    33

    First multiply: 5 × 6 = 30. Then add 3: 30 + 3 = 33.

  7. 7. A number machine multiplies the input by 9 and then adds 11. When the input is 15, what is the output?

    146

    First multiply: 15 × 9 = 135. Then add 11: 135 + 11 = 146.

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

    31

    First multiply: 14 × 2 = 28. Then add 3: 28 + 3 = 31.

  9. 9. A number machine multiplies the input by 7 and then adds 7. When the input is 10, what is the output?

    77

    First multiply: 10 × 7 = 70. Then add 7: 70 + 7 = 77.

  10. 10. A number machine multiplies the input by 6 and then adds 8. When the input is 6, what is the output?

    44

    First multiply: 6 × 6 = 36. Then add 8: 36 + 8 = 44.

  11. 11. A number machine multiplies the input by 6 and then adds 14. When the input is 3, what is the output?

    32

    First multiply: 3 × 6 = 18. Then add 14: 18 + 14 = 32.

  12. 12. A number machine multiplies the input by 6 and then adds 15. When the input is 3, what is the output?

    33

    First multiply: 3 × 6 = 18. Then add 15: 18 + 15 = 33.

12 questions · Seed 47 · 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 5. When the input is 4, what is the output?

    8-35-34-3?

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

    7+07+013+0?

  3. 3. A number machine multiplies the input by 8 and then adds 15. When the input is 8, what is the output?

    8+715+78+7?

  4. 4. A number machine multiplies the input by 4 and then adds 7. When the input is 11, what is the output?

    4+37+311+3?

  5. 5. A number machine multiplies the input by 9 and then adds 2. When the input is 4, what is the output?

    9-72-74-7?

  6. 6. A number machine multiplies the input by 6 and then adds 3. When the input is 5, what is the output?

    6-33-35-3?

  7. 7. A number machine multiplies the input by 9 and then adds 11. When the input is 15, what is the output?

    9+211+215+2?

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

    2+13+114+1?

  9. 9. A number machine multiplies the input by 7 and then adds 7. When the input is 10, what is the output?

    7+07+010+0?

  10. 10. A number machine multiplies the input by 6 and then adds 8. When the input is 6, what is the output?

    6+28+26+2?

  11. 11. A number machine multiplies the input by 6 and then adds 14. When the input is 3, what is the output?

    6+814+83+8?

  12. 12. A number machine multiplies the input by 6 and then adds 15. When the input is 3, what is the output?

    6+915+93+9?
12 questions · Seed 47 · 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 5. When the input is 4, what is the output?

    37

    First multiply: 4 × 8 = 32. Then add 5: 32 + 5 = 37.

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

    98

    First multiply: 13 × 7 = 91. Then add 7: 91 + 7 = 98.

  3. 3. A number machine multiplies the input by 8 and then adds 15. When the input is 8, what is the output?

    79

    First multiply: 8 × 8 = 64. Then add 15: 64 + 15 = 79.

  4. 4. A number machine multiplies the input by 4 and then adds 7. When the input is 11, what is the output?

    51

    First multiply: 11 × 4 = 44. Then add 7: 44 + 7 = 51.

  5. 5. A number machine multiplies the input by 9 and then adds 2. When the input is 4, what is the output?

    38

    First multiply: 4 × 9 = 36. Then add 2: 36 + 2 = 38.

  6. 6. A number machine multiplies the input by 6 and then adds 3. When the input is 5, what is the output?

    33

    First multiply: 5 × 6 = 30. Then add 3: 30 + 3 = 33.

  7. 7. A number machine multiplies the input by 9 and then adds 11. When the input is 15, what is the output?

    146

    First multiply: 15 × 9 = 135. Then add 11: 135 + 11 = 146.

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

    31

    First multiply: 14 × 2 = 28. Then add 3: 28 + 3 = 31.

  9. 9. A number machine multiplies the input by 7 and then adds 7. When the input is 10, what is the output?

    77

    First multiply: 10 × 7 = 70. Then add 7: 70 + 7 = 77.

  10. 10. A number machine multiplies the input by 6 and then adds 8. When the input is 6, what is the output?

    44

    First multiply: 6 × 6 = 36. Then add 8: 36 + 8 = 44.

  11. 11. A number machine multiplies the input by 6 and then adds 14. When the input is 3, what is the output?

    32

    First multiply: 3 × 6 = 18. Then add 14: 18 + 14 = 32.

  12. 12. A number machine multiplies the input by 6 and then adds 15. When the input is 3, what is the output?

    33

    First multiply: 3 × 6 = 18. Then add 15: 18 + 15 = 33.

12 questions · Seed 47 · Age guidance, not curriculum certification