Let’s solve each function machine step by step. We’ll apply the rule to every input number and write down the output.
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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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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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Middle Left: Rule x4
Input → Output
4 → 4 × 4 =
16
6 → 6 × 4 =
24
11 → 11 × 4 =
44
20 → 20 × 4 =
80
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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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Bottom Left (first one): Rule +9
Input → Output
8 → 8 + 9 =
17
21 → 21 + 9 =
30
45 → 45 + 9 =
54
66 → 66 + 9 =
75
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Bottom Right (first one): Rule x6
Input → Output
2 → 2 × 6 =
12
10 → 10 × 6 =
60
7 → 7 × 6 =
42
20 → 20 × 6 =
120
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Bottom Left (second one): Find the Rule
Inputs: 8, 10, 20, 32
Outputs: 12, 14, 24, 36
Check difference:
12 - 8 = 4
14 - 10 = 4
24 - 20 = 4
36 - 32 = 4
→ Rule is
+4
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Bottom Right (second one): Find the Rule
Inputs: 3, 5, 10, 7
Outputs: 9, 15, 30, 21
Check multiplication:
3 × 3 = 9
5 × 3 = 15
10 × 3 = 30
7 × 3 = 21
→ Rule is
x3
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Final Answer:
Top Left (+5): 10, 13, 17, 99
Top Right (-7): 5, 19, 25, 54
Middle Left (x4): 16, 24, 44, 80
Middle Right (÷2): 5, 9, 15, 32
Bottom Left (+9): 17, 30, 54, 75
Bottom Right (x6): 12, 60, 42, 120
Bottom Left (Rule): +4
Bottom Right (Rule): x3
Parent Tip: Review the logic above to help your child master the concept of function machine worksheet.
