Let’s go through each function machine one by one. We’ll apply the rule to each input number and write down the output.
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First Machine (Top Left): Rule = +5
Input → Output
5 → 5 + 5 =
10 ✔ (already given)
8 → 8 + 5 =
13
12 → 12 + 5 =
17
94 → 94 + 5 =
99
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Second Machine (Top Right): Rule = -7
Input → Output
12 → 12 - 7 =
5
26 → 26 - 7 =
19
32 → 32 - 7 =
25
61 → 61 - 7 =
54
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Third Machine (Middle Left): Rule = ×4
Input → Output
4 → 4 × 4 =
16
6 → 6 × 4 =
24
11 → 11 × 4 =
44
20 → 20 × 4 =
80
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Fourth Machine (Middle Right): Rule = ÷2
Input → Output
10 → 10 ÷ 2 =
5
18 → 18 ÷ 2 =
9
30 → 30 ÷ 2 =
15
64 → 64 ÷ 2 =
32
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Fifth Machine (Bottom Left, third row): Rule = +9
Input → Output
8 → 8 + 9 =
17
21 → 21 + 9 =
30
45 → 45 + 9 =
54
66 → 66 + 9 =
75
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Sixth Machine (Bottom Right, third row): Rule = ×6
Input → Output
2 → 2 × 6 =
12
10 → 10 × 6 =
60
7 → 7 × 6 =
42
20 → 20 × 6 =
120
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Seventh Machine (Bottom Left, last row): Find the Rule
We are given:
Input → Output
8 → 12
10 → 14
20 → 24
32 → 36
Look at the pattern:
12 - 8 = 4
14 - 10 = 4
24 - 20 = 4
36 - 32 = 4
So the rule is
+4
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Eighth Machine (Bottom Right, last row): Find the Rule
Input → Output
3 → 9
5 → 15
10 → 30
7 → 21
Check what operation turns input into output:
3 × ? = 9 → 3 × 3 = 9
5 × ? = 15 → 5 × 3 = 15
10 × ? = 30 → 10 × 3 = 30
7 × ? = 21 → 7 × 3 = 21
So the rule is
×3
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Final Answer:
Machine 1 (+5): 13, 17, 99
Machine 2 (-7): 5, 19, 25, 54
Machine 3 (×4): 16, 24, 44, 80
Machine 4 (÷2): 5, 9, 15, 32
Machine 5 (+9): 17, 30, 54, 75
Machine 6 (×6): 12, 60, 42, 120
Machine 7 (Rule): +4
Machine 8 (Rule): ×3
Parent Tip: Review the logic above to help your child master the concept of function machines worksheet.
