Determining Function Machine Rule - Part 1 - Identify the input-output pattern

Sep 30, 2026

Uploaded by Jasmine

Worksheet focused on determining the rule used by a function machine based on input numbers and their corresponding output numbers. Learners observe multiple examples where the machine applies arithmetic operations such as addition, subtraction, multiplication, or composite steps. An answer key provides the correct rules for selected problems, enabling self-checking of reasoning and accuracy in interpreting the input-output relationship.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Determine the Function Machine Rule

Identify the rule from inputs and outputs

Check answers with the provided answer key

Determining Function Machine Rule (+ -x) Name: | Determine what rule the function machine is using. | | | | | | | | | | | Answers
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12. | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 1)
4) |
Input
Output 21 29 41 49 34 42 40 48 38 46

Input
Output 28 15 34 21 44 31 42 29 45 32 | | 2)
5) |
Input
Output 25 38 19 32 21 34 31 44 29 42

Input
Output 33 38 44 49 35 40 23 28 17 22 | 3)
6) |
Input
Output 9 27 3 9 4 12 6 18 8 24

Input
Output 4 40 9 90 8 80 3 30 10 100 | | | | | | | | | | | | | | 7)
9)
11)

Input 9 7 10 4 2
Output 72 56 80 32 16

Input 47 37 28 36 43
Output 61 51 42 50 57

Input 46 19 28 32 31
Output 40 13 22 26 25 | | | | | | | | | | | | | | | | | | | |
Math | | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | | | 4 | | 1-10
11-12 | 92 | 83 | 75 | | 67 | 58 | 50 | 42 | 33 | 25 | 17 | | | | | | | | | | 8 | 0 | | | | | | | | | | Determining Function Machine Rule (+ -x) Name: Answer Key | Determine what rule the function machine is using.

7)
9)
11)
Subtract 13 Add 5

Input 55 28 34 35 33
Output 50 23 29 30 28
Subtract 5
8)

Input 5 4 3 7 10
Output 25 20 15 35 50
10)
Multiply by 5

Input 27 36 43 60 49
Output 17 26 33 50 39
12)
Subtract 10
Multiply by 10

Input 9 7 10 4 2
Output 72 56 80 32 16
Multiply by 8

Input 47 37 28 36 43
Output 61 51 42 50 57
Add 14

Input 46 19 28 32 31
Output 40 13 22 26 25
Subtract 6 | Answers 1. Add 8 2. Add 13 3. Multiply by 3 4. Subtract 13 5. Add 5 6. Multiply by 10 7. Subtract 5 8. Multiply by 8 9. Multiply by 5 10. Add 14
11. Subtract 10
12. Subtract 6 | | --- | --- | Math [www.CommonCoreSheets.com](www.CommonCoreSheets.com) 4 1-10 92 11-12 8 83 0 75 67 58 50 42 33 25 17 Determining Function Machine Rule (+ -x) Name: | Determine what rule the function machine is using. | | | | | | Answers
1.
2.
3.
4.
5.
6.
7.
8.
9. | | --- | --- | --- | --- | --- | --- | --- | | 1)
4) |
Input
Output 21 29 41 49 34 42 40 48 38 46

Input
Output 28 15 34 21 44 31 42 29 45 32 | 2)
5) |
Input
Output 25 38 19 32 21 34 31 44 29 42

Input
Output 33 38 44 49 35 40 23 28 17 22 | 3)
6) |
Input
Output 9 27 3 9 4 12 6 18 8 24

Input
Output 4 40 9 90 8 80 3 30 10 100 | | | 7)

Input 55 28 34 35 33
Output 50 23 29 30 28
8)

Input 9 7 10 4 2
Output 72 56 80 32 16 | | | | | | | | 9) |
Input 5 4 3 7 10
Output 25 20 15 35 50 | | | | | | Modified [www.CommonCoreSheets.com](www.CommonCoreSheets.com) 4 1-9 89 78 67 56 44 33 22 11 0 Math

FAQs

How do you determine the rule for a function machine?

Compare each set of inputs with its outputs and look for a consistent arithmetic relationship such as adding, subtracting, or multiplying by a number.

What operations can the function machine use in these problems?

The examples include subtracting, adding, multiplying, and sequences combining more than one operation to produce the outputs.

Why is an answer key included?

The answer key lists the correct rules for the numbered questions so students can verify their identified patterns and correct mistakes.

Sep 30, 2026

Uploaded by Jasmine