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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 2 and then adds 8. When the input is 7, what is the output?

    2+68+67+6?

  2. 2. A number machine multiplies the input by 5 and then adds 1. When the input is 10, what is the output?

    5-41-410-4?

  3. 3. A number machine multiplies the input by 5 and then adds 12. When the input is 8, what is the output?

    5+712+78+7?

  4. 4. A number machine multiplies the input by 7 and then adds 4. When the input is 12, what is the output?

    7-34-312-3?

  5. 5. 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?

  6. 6. A number machine multiplies the input by 5 and then adds 14. When the input is 7, what is the output?

    5+914+97+9?

  7. 7. A number machine multiplies the input by 6 and then adds 13. When the input is 3, what is the output?

    6+713+73+7?

  8. 8. A number machine multiplies the input by 3 and then adds 5. When the input is 13, what is the output?

    3+25+213+2?

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

    9-54-512-5?

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

    2+79+77+7?

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

    4+26+23+2?

  12. 12. A number machine multiplies the input by 6 and then adds 15. When the input is 5, what is the output?

    6+915+95+9?
12 questions · Seed 104731 · 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 2 and then adds 8. When the input is 7, what is the output?

    22

    First multiply: 7 × 2 = 14. Then add 8: 14 + 8 = 22.

  2. 2. A number machine multiplies the input by 5 and then adds 1. When the input is 10, what is the output?

    51

    First multiply: 10 × 5 = 50. Then add 1: 50 + 1 = 51.

  3. 3. A number machine multiplies the input by 5 and then adds 12. When the input is 8, what is the output?

    52

    First multiply: 8 × 5 = 40. Then add 12: 40 + 12 = 52.

  4. 4. A number machine multiplies the input by 7 and then adds 4. When the input is 12, what is the output?

    88

    First multiply: 12 × 7 = 84. Then add 4: 84 + 4 = 88.

  5. 5. 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.

  6. 6. A number machine multiplies the input by 5 and then adds 14. When the input is 7, what is the output?

    49

    First multiply: 7 × 5 = 35. Then add 14: 35 + 14 = 49.

  7. 7. A number machine multiplies the input by 6 and then adds 13. When the input is 3, what is the output?

    31

    First multiply: 3 × 6 = 18. Then add 13: 18 + 13 = 31.

  8. 8. A number machine multiplies the input by 3 and then adds 5. When the input is 13, what is the output?

    44

    First multiply: 13 × 3 = 39. Then add 5: 39 + 5 = 44.

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

    112

    First multiply: 12 × 9 = 108. Then add 4: 108 + 4 = 112.

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

    23

    First multiply: 7 × 2 = 14. Then add 9: 14 + 9 = 23.

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

    18

    First multiply: 3 × 4 = 12. Then add 6: 12 + 6 = 18.

  12. 12. A number machine multiplies the input by 6 and then adds 15. When the input is 5, what is the output?

    45

    First multiply: 5 × 6 = 30. Then add 15: 30 + 15 = 45.

12 questions · Seed 104731 · 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 2 and then adds 8. When the input is 7, what is the output?

    2+68+67+6?

  2. 2. A number machine multiplies the input by 5 and then adds 1. When the input is 10, what is the output?

    5-41-410-4?

  3. 3. A number machine multiplies the input by 5 and then adds 12. When the input is 8, what is the output?

    5+712+78+7?

  4. 4. A number machine multiplies the input by 7 and then adds 4. When the input is 12, what is the output?

    7-34-312-3?

  5. 5. 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?

  6. 6. A number machine multiplies the input by 5 and then adds 14. When the input is 7, what is the output?

    5+914+97+9?

  7. 7. A number machine multiplies the input by 6 and then adds 13. When the input is 3, what is the output?

    6+713+73+7?

  8. 8. A number machine multiplies the input by 3 and then adds 5. When the input is 13, what is the output?

    3+25+213+2?

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

    9-54-512-5?

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

    2+79+77+7?

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

    4+26+23+2?

  12. 12. A number machine multiplies the input by 6 and then adds 15. When the input is 5, what is the output?

    6+915+95+9?
12 questions · Seed 104731 · 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 2 and then adds 8. When the input is 7, what is the output?

    22

    First multiply: 7 × 2 = 14. Then add 8: 14 + 8 = 22.

  2. 2. A number machine multiplies the input by 5 and then adds 1. When the input is 10, what is the output?

    51

    First multiply: 10 × 5 = 50. Then add 1: 50 + 1 = 51.

  3. 3. A number machine multiplies the input by 5 and then adds 12. When the input is 8, what is the output?

    52

    First multiply: 8 × 5 = 40. Then add 12: 40 + 12 = 52.

  4. 4. A number machine multiplies the input by 7 and then adds 4. When the input is 12, what is the output?

    88

    First multiply: 12 × 7 = 84. Then add 4: 84 + 4 = 88.

  5. 5. 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.

  6. 6. A number machine multiplies the input by 5 and then adds 14. When the input is 7, what is the output?

    49

    First multiply: 7 × 5 = 35. Then add 14: 35 + 14 = 49.

  7. 7. A number machine multiplies the input by 6 and then adds 13. When the input is 3, what is the output?

    31

    First multiply: 3 × 6 = 18. Then add 13: 18 + 13 = 31.

  8. 8. A number machine multiplies the input by 3 and then adds 5. When the input is 13, what is the output?

    44

    First multiply: 13 × 3 = 39. Then add 5: 39 + 5 = 44.

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

    112

    First multiply: 12 × 9 = 108. Then add 4: 108 + 4 = 112.

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

    23

    First multiply: 7 × 2 = 14. Then add 9: 14 + 9 = 23.

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

    18

    First multiply: 3 × 4 = 12. Then add 6: 12 + 6 = 18.

  12. 12. A number machine multiplies the input by 6 and then adds 15. When the input is 5, what is the output?

    45

    First multiply: 5 × 6 = 30. Then add 15: 30 + 15 = 45.

12 questions · Seed 104731 · Age guidance, not curriculum certification