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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 10. When the input is 15, what is the output?

    8+210+215+2?

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

    3+47+47+4?

  3. 3. A number machine multiplies the input by 6 and then adds 5. When the input is 4, what is the output?

    6-15-14-1?

  4. 4. A number machine multiplies the input by 7 and then adds 5. When the input is 2, what is the output?

    7-25-22-2?

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

    8-53-52-5?

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

    8-17-15-1?

  7. 7. A number machine multiplies the input by 2 and then adds 10. When the input is 15, what is the output?

    2+810+815+8?

  8. 8. A number machine multiplies the input by 3 and then adds 14. When the input is 9, what is the output?

    3+1114+119+11?

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

    2+1214+128+12?

  10. 10. A number machine multiplies the input by 3 and then adds 5. When the input is 10, what is the output?

    3+25+210+2?

  11. 11. A number machine multiplies the input by 9 and then adds 10. When the input is 5, what is the output?

    9+110+15+1?

  12. 12. A number machine multiplies the input by 6 and then adds 1. When the input is 3, what is the output?

    6-51-53-5?
12 questions · Seed 48 · 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 10. When the input is 15, what is the output?

    130

    First multiply: 15 × 8 = 120. Then add 10: 120 + 10 = 130.

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

    28

    First multiply: 7 × 3 = 21. Then add 7: 21 + 7 = 28.

  3. 3. A number machine multiplies the input by 6 and then adds 5. When the input is 4, what is the output?

    29

    First multiply: 4 × 6 = 24. Then add 5: 24 + 5 = 29.

  4. 4. A number machine multiplies the input by 7 and then adds 5. When the input is 2, what is the output?

    19

    First multiply: 2 × 7 = 14. Then add 5: 14 + 5 = 19.

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

    19

    First multiply: 2 × 8 = 16. Then add 3: 16 + 3 = 19.

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

    47

    First multiply: 5 × 8 = 40. Then add 7: 40 + 7 = 47.

  7. 7. A number machine multiplies the input by 2 and then adds 10. When the input is 15, what is the output?

    40

    First multiply: 15 × 2 = 30. Then add 10: 30 + 10 = 40.

  8. 8. A number machine multiplies the input by 3 and then adds 14. When the input is 9, what is the output?

    41

    First multiply: 9 × 3 = 27. Then add 14: 27 + 14 = 41.

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

    30

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

  10. 10. A number machine multiplies the input by 3 and then adds 5. When the input is 10, what is the output?

    35

    First multiply: 10 × 3 = 30. Then add 5: 30 + 5 = 35.

  11. 11. A number machine multiplies the input by 9 and then adds 10. When the input is 5, what is the output?

    55

    First multiply: 5 × 9 = 45. Then add 10: 45 + 10 = 55.

  12. 12. A number machine multiplies the input by 6 and then adds 1. When the input is 3, what is the output?

    19

    First multiply: 3 × 6 = 18. Then add 1: 18 + 1 = 19.

12 questions · Seed 48 · 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 10. When the input is 15, what is the output?

    8+210+215+2?

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

    3+47+47+4?

  3. 3. A number machine multiplies the input by 6 and then adds 5. When the input is 4, what is the output?

    6-15-14-1?

  4. 4. A number machine multiplies the input by 7 and then adds 5. When the input is 2, what is the output?

    7-25-22-2?

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

    8-53-52-5?

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

    8-17-15-1?

  7. 7. A number machine multiplies the input by 2 and then adds 10. When the input is 15, what is the output?

    2+810+815+8?

  8. 8. A number machine multiplies the input by 3 and then adds 14. When the input is 9, what is the output?

    3+1114+119+11?

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

    2+1214+128+12?

  10. 10. A number machine multiplies the input by 3 and then adds 5. When the input is 10, what is the output?

    3+25+210+2?

  11. 11. A number machine multiplies the input by 9 and then adds 10. When the input is 5, what is the output?

    9+110+15+1?

  12. 12. A number machine multiplies the input by 6 and then adds 1. When the input is 3, what is the output?

    6-51-53-5?
12 questions · Seed 48 · 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 10. When the input is 15, what is the output?

    130

    First multiply: 15 × 8 = 120. Then add 10: 120 + 10 = 130.

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

    28

    First multiply: 7 × 3 = 21. Then add 7: 21 + 7 = 28.

  3. 3. A number machine multiplies the input by 6 and then adds 5. When the input is 4, what is the output?

    29

    First multiply: 4 × 6 = 24. Then add 5: 24 + 5 = 29.

  4. 4. A number machine multiplies the input by 7 and then adds 5. When the input is 2, what is the output?

    19

    First multiply: 2 × 7 = 14. Then add 5: 14 + 5 = 19.

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

    19

    First multiply: 2 × 8 = 16. Then add 3: 16 + 3 = 19.

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

    47

    First multiply: 5 × 8 = 40. Then add 7: 40 + 7 = 47.

  7. 7. A number machine multiplies the input by 2 and then adds 10. When the input is 15, what is the output?

    40

    First multiply: 15 × 2 = 30. Then add 10: 30 + 10 = 40.

  8. 8. A number machine multiplies the input by 3 and then adds 14. When the input is 9, what is the output?

    41

    First multiply: 9 × 3 = 27. Then add 14: 27 + 14 = 41.

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

    30

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

  10. 10. A number machine multiplies the input by 3 and then adds 5. When the input is 10, what is the output?

    35

    First multiply: 10 × 3 = 30. Then add 5: 30 + 5 = 35.

  11. 11. A number machine multiplies the input by 9 and then adds 10. When the input is 5, what is the output?

    55

    First multiply: 5 × 9 = 45. Then add 10: 45 + 10 = 55.

  12. 12. A number machine multiplies the input by 6 and then adds 1. When the input is 3, what is the output?

    19

    First multiply: 3 × 6 = 18. Then add 1: 18 + 1 = 19.

12 questions · Seed 48 · Age guidance, not curriculum certification