Function Machines-Creating Equations - Write an equation to show the relationship between the input and the output - Answer Key

Sep 30, 2026

Uploaded by Franzy

Worksheets for “Function Machines-Creating Equations” that require writing equations connecting an input value to an output value using patterns such as addition, subtraction, multiplication, division, and mixed operations. The material includes multiple numbered problems with labeled inputs and outputs (letters like z, k, h, y, v, m, s, d, q, j, p, o, l, f, e) and provides a corresponding answer key listing the completed equations. Designed to practice representing relationships with algebraic expressions.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Practice: Write input-output equations

Addition and subtraction relationships

Multiplication and division relationships

Multiple item answer key

Function Machines-Creating Equations Name: | Write an equation to show the relationship between the input and the output. | | | | | | | | | Answers
1.
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4.
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6.
7.
8.
9.
10.
11.
12. | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 1)
4) |
Input (z)
Output (k) 24 4 26 6 25 5 22 2 28 8

Input (s)
Output (k) 6 9 7 10 8 11 3 6 2 5 | | 2)
5) |
Input (h)
Output (y) 8 24 5 21 9 25 10 26 4 20

Input (d)
Output (q) 6 11 9 14 7 12 8 13 4 9 | | | 3)
6) |
Input (v)
Output (m) 5 9 9 13 2 6 8 12 4 8

Input (j)
Output (p) 21 3 26 8 28 10 24 6 22 4 | | | 7) | |
in(z) 18 48 54 30
out(n) 3 8 9 5 | | | 8) |
in(q) 9 7 5 10
out(y) 63 49 35 70 | | | | | 9) | |
in(k) 9 7 5 3
out(p) 45 35 25 15 | | | 10) |
in(o) 14 15 22 17
out(l) 2 3 10 5 | | | | | 11) | |
in(f) 18 12 20 16
out(j) 9 6 10 8 | | | 12) |
in(s) 9 10 2 5
out(e) 27 30 6 15 | | | | Math [www.CommonCoreSheets.com](www.CommonCoreSheets.com) 8 1-10 92 11-12 8 83 0 75 67 58 50 42 33 25 17 Function Machines-Creating Equations Name: Answer Key | Write an equation to show the relationship between the input and the output. | | | | | | | | | Answers 1. z-20 = k 2. h + 16 = y 3. v + 4 = m 4. s + 3 = k 5. d + 5 = q 6. j-18 = p 7. z ÷ 6 = n 8. q × 7 = y 9. k × 5 = p 10. o-12 = l
11. f ÷ 2 = j
12. s × 3 = e | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 1)
4) |
Input (z)
Output (k) 24 4 26 6 25 5 22 2 28 8

Input (s)
Output (k) 6 9 7 10 8 11 3 6 2 5 | | 2)
5) |
Input (h)
Output (y) 8 24 5 21 9 25 10 26 4 20

Input (d)
Output (q) 6 11 9 14 7 12 8 13 4 9 | | | 3)
6) |
Input (v)
Output (m) 5 9 9 13 2 6 8 12 4 8

Input (j)
Output (p) 21 3 26 8 28 10 24 6 22 4 | | | 7) | |
in(z) 18 48 54 30
out(n) 3 8 9 5 | | | 8) |
in(q) 9 7 5 10
out(y) 63 49 35 70 | | | | | 9) | |
in(k) 9 7 5 3
out(p) 45 35 25 15 | | | 10) |
in(o) 14 15 22 17
out(l) 2 3 10 5 | | | | | 11) | |
in(f) 18 12 20 16
out(j) 9 6 10 8 | | | 12) |
in(s) 9 10 2 5
out(e) 27 30 6 15 | | | | Math [www.CommonCoreSheets.com](www.CommonCoreSheets.com) 8 1-10 92 11-12 8 83 0 75 67 58 50 42 33 25 17 Function Machines-Creating Equations Name: | Write an equation to show the relationship between the input and the output. | | | | | | | | | Answers
1.
2.
3.
4.
5.
6.
7.
8. | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 1) |
Input (z)
Output (k) 24 4 26 6 25 5 22 2 28 8 | 2) |
Input (h)
Output (y) 8 24 5 21 9 25 10 26 4 20 | | | 3) |
Input (v)
Output (m) 5 9 9 13 2 6 8 12 4 8 | | | | | | | | | | | 4) |
Input (s)
Output (k) 6 9 7 10 8 11 3 6 2 5 | 5) |
Input (d)
Output (q) 6 11 9 14 7 12 8 13 4 9 | | | 6) |
Input (j)
Output (p) 21 3 26 8 28 10 24 6 22 4 | | | | | | | | | | | 7) |
in(z) 18 48 54 30
out(n) 3 8 9 5 | | | 8) |
in(q) 9 7 5 10
out(y) 63 49 35 70 | | | | | | | | | | | | | 1-8 | | | | | | | | 88 | | 75 | 63 | 50 | 38 | 25 | 13 | 0 | Math Modified [www.CommonCoreSheets.com](www.CommonCoreSheets.com) 8

FAQs

What do you need to do in each problem?

Write an equation that shows the relationship between the input and the output. Each item gives input and output values to infer the rule.

Which types of relationships are practiced?

The worksheet focuses on equations built from common operations including addition, subtraction, multiplication, and division.

Where can the correct equations be found?

The provided answer key lists the completed equations for the numbered problems.

Sep 30, 2026

Uploaded by Franzy