Matching a Rule to an Input/Output Table - Determine the correct function-machine rule - Answer Key

Sep 30, 2026

Uploaded by Jasmine

Determine which input/output tables match each function-machine rule: divide by 7, add 3, multiply by 9, then divide by 9, add 12, and add 15, followed by multiply by 10, add 19, multiply by 5, multiply by 8, divide by 4, and multiply by 2. Use the provided In/Out pairs in multiple labeled tables to identify the correct correspondence for each rule. The answer key lists the selected table letter for every numbered rule.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Determine matching tables

Rules for the function machine

Input/output table values

Answer key mapping

Matching a Rule to an Input/Output Table Name: | Determine which table shows the numbers going in and coming out of a function machine using each rule.
1) divide by 7 2) add 3 3) multiply by 9
4) add 12 5) add 15 6) divide by 9 | | | | | | | | | | | | | | | | | | | | Answers | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | | | | | | | | | | | | | | | | | | | | | 1.
2.
3. | | | | | 7) multiply by 10 8) add 19 9) multiply by 5
10) multiply by 8 11) divide by 4 12) multiply by 2
| | | | | | | | | | | | | | | | | | | | 4.
5.
6.
7.
8.
9.
10.
11.
12. | | | | | A.
E.
I. |
In
Out 2 5 10 13 12 15 13 16

In
Out 12 3 16 4 28 7 40 10

In
Out 4 8 7 14 8 16 10 20 | B.
F.
J. |
In |
Out | C.
G.
K. |
In | |
Out | D.
H.
L. | |
In | | |
Out | | | | | | | | | | | | | | 3 | 15 | | 1 | | 13 | | | 3 | | | 24 | | | | | | | | | | | | | | 4 | 20 | | 11 | | 23 | | | 4 | | | 32 | | | | | | | | | | | | | | 9 | 45 | | 12 | | 24 | | | 8 | | | 64 | | | | | | | | | | | | | | 13 | 65 | | 14 | | 26 | | | 14 | | | 112 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
In |
Out | |
In | |
Out | | |
In | | |
Out | | | | | | | | | | | | | | 1 | 10 | | 4 | | 36 | | | 5 | | | 20 | | | | | | | | | | | | | | 5 | 50 | | 6 | | 54 | | | 6 | | | 21 | | | | | | | | | | | | | | 12 | 120 | | 13 | | 117 | | | 8 | | | 23 | | | | | | | | | | | | | | 13 | 130 | | 14 | | 126 | | | 13 | | | 28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
In |
Out | |
In | |
Out | | |
In | | |
Out | | | | | | | | | | | | | | 7 | 1 | | 27 | | 3 | | | 1 | | | 20 | | | | | | | | | | | | | | 21 | 3 | | 45 | | 5 | | | 8 | | | 27 | | | | | | | | | | | | | | 49 | 7 | | 54 | | 6 | | | 9 | | | 28 | | | | | | | | | | | | | | 70 | 10 | | 99 | | 11 | | | 14 | | | 33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
Math | | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | | | | | 7 | | | 1-10
11-12 | | 92 | 83 | | 75 | 67 | | 58 | 50 | 42 | 33 | 25 | 17 | | | | | | | | | | | | | | 8 | 0 | | | | | | | | | | | Matching a Rule to an Input/Output Table Name: Answer Key | Determine which table shows the numbers going in and coming out of a function machine using each rule.
1) divide by 7 2) add 3 3) multiply by 9
4) add 12 5) add 15 6) divide by 9 | | | | | | | | | | | | | | | | | | | | Answers | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | | | | | | | | | | | | | | | | | | | | | 1. J
2. A
3. G | | | | | 7) multiply by 10 8) add 19 9) multiply by 5
10) multiply by 8 11) divide by 4 12) multiply by 2
| | | | | | | | | | | | | | | | | | | | 4. C
5. H
6. K
7. F
8. L
9. B
10. D
11. E
12. I | | | | | A.
E.
I. |
In
Out 2 5 10 13 12 15 13 16

In
Out 12 3 16 4 28 7 40 10

In
Out 4 8 7 14 8 16 10 20 | B.
F.
J. |
In |
Out | C.
G.
K. |
In | |
Out | D.
H.
L. | |
In | | |
Out | | | | | | | | | | | | | | 3 | 15 | | 1 | | 13 | | | 3 | | | 24 | | | | | | | | | | | |

FAQs

How do you decide which table matches a rule for the function machine?

Apply the given operation(s) to the listed input values and compare the computed outputs with the table’s In/Out pairs.

What are the function-machine rules included in the task?

The rules are: divide by 7, add 3, multiply by 9, add 12, add 15, divide by 9, multiply by 10, add 19, multiply by 5, multiply by 8, divide by 4, and multiply by 2.

Where can the correct matches be found?

The Answer Key section records which labeled table corresponds to each numbered rule.

Sep 30, 2026

Uploaded by Jasmine