Math worksheet for determining function machine rules, featuring nine input-output problems with multiple-choice answers.

Let's solve each of the function machine problems step by step. The goal is to determine the rule (operation) that transforms the Input into the Output in each table.

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1)

| Input | Output |
|-------|--------|
| 25 | 30 |
| 50 | 55 |
| 15 | 20 |
| 26 | 31 |
| 39 | 44 |

Check the difference:
- 30 - 25 = 5
- 55 - 50 = 5
- 20 - 15 = 5
- 31 - 26 = 5
- 44 - 39 = 5

✔ Rule: Add 5

Answer: B. add 5

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2)

| Input | Output |
|-------|--------|
| 25 | 30 |
| 18 | 23 |
| 47 | 52 |
| 36 | 41 |
| 42 | 47 |

Differences:
- 30 - 25 = 5
- 23 - 18 = 5
- 52 - 47 = 5
- 41 - 36 = 5
- 47 - 42 = 5

✔ Rule: Add 5

Answer: C. add 5

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3)

| Input | Output |
|-------|--------|
| 44 | 52 |
| 11 | 19 |
| 25 | 33 |
| 49 | 57 |
| 50 | 58 |

Differences:
- 52 - 44 = 8
- 19 - 11 = 8
- 33 - 25 = 8
- 57 - 49 = 8
- 58 - 50 = 8

✔ Rule: Add 8

Answer: B. add 8

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4)

| Input | Output |
|-------|--------|
| 48 | 57 |
| 49 | 58 |
| 15 | 24 |
| 38 | 47 |
| 40 | 49 |

Differences:
- 57 - 48 = 9
- 58 - 49 = 9
- 24 - 15 = 9
- 47 - 38 = 9
- 49 - 40 = 9

✔ Rule: Add 9

Answer: B. add 9

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5)

| Input | Output |
|-------|--------|
| 43 | 55 |
| 45 | 57 |
| 31 | 43 |
| 44 | 56 |
| 30 | 42 |

Differences:
- 55 - 43 = 12
- 57 - 45 = 12
- 43 - 31 = 12
- 56 - 44 = 12
- 42 - 30 = 12

✔ Rule: Add 12

Answer: B. add 12

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6)

| Input | Output |
|-------|--------|
| 29 | 43 |
| 18 | 32 |
| 41 | 55 |
| 23 | 37 |
| 36 | 50 |

Differences:
- 43 - 29 = 14
- 32 - 18 = 14
- 55 - 41 = 14
- 37 - 23 = 14
- 50 - 36 = 14

✔ Rule: Add 14

Answer: D. add 14

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7)

| Input | Output |
|-------|--------|
| 44 | 35 |
| 42 | 33 |
| 20 | 11 |
| 34 | 25 |
| 28 | 19 |

Differences:
- 35 - 44 = -9
- 33 - 42 = -9
- 11 - 20 = -9
- 25 - 34 = -9
- 19 - 28 = -9

✔ Rule: Subtract 9

Answer: A. subtract 9

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8)

| Input | Output |
|-------|--------|
| 46 | 34 |
| 31 | 19 |
| 37 | 25 |
| 54 | 42 |
| 39 | 27 |

Differences:
- 34 - 46 = -12
- 19 - 31 = -12
- 25 - 37 = -12
- 42 - 54 = -12
- 27 - 39 = -12

✔ Rule: Subtract 12

Answer: A. subtract 12

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9)

| Input | Output |
|-------|--------|
| 27 | 22 |
| 36 | 31 |
| 21 | 16 |
| 34 | 29 |
| 17 | 12 |

Differences:
- 22 - 27 = -5
- 31 - 36 = -5
- 16 - 21 = -5
- 29 - 34 = -5
- 12 - 17 = -5

✔ Rule: Subtract 5

Answer: D. subtract 5

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✔ Final Answers:

1. B. add 5
2. C. add 5
3. B. add 8
4. B. add 9
5. B. add 12
6. D. add 14
7. A. subtract 9
8. A. subtract 12
9. D. subtract 5

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You can now fill these in the "Answers" column on the right side of the worksheet. Let me know if you'd like a printable version or explanation for any specific one!