Let’s solve each function machine step by step. We’ll follow the rule for each robot and calculate the output for every input number.
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1. Rule: × 3 + 15
- IN 6 → 6 × 3 = 18; 18 + 15 =
33
- IN 8 → 8 × 3 = 24; 24 + 15 =
39
- IN 10 → 10 × 3 = 30; 30 + 15 =
45
- IN 2 → 2 × 3 = 6; 6 + 15 =
21
→ Outputs: 33, 39, 45, 21
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2. Rule: × 7 – 4
- IN 7 → 7 × 7 = 49; 49 – 4 =
45
- IN 9 → 9 × 7 = 63; 63 – 4 =
59
- IN 12 → 12 × 7 = 84; 84 – 4 =
80
- IN 3 → 3 × 7 = 21; 21 – 4 =
17
→ Outputs: 45, 59, 80, 17
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3. Rule: × 5 + 24
- IN 5 → 5 × 5 = 25; 25 + 24 =
49
- IN 8 → 8 × 5 = 40; 40 + 24 =
64
- IN 2 → 2 × 5 = 10; 10 + 24 =
34
- IN 4 → 4 × 5 = 20; 20 + 24 =
44
→ Outputs: 49, 64, 34, 44
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4. Rule: × 11 – 12
- IN 12 → 12 × 11 = 132; 132 – 12 =
120
- IN 10 → 10 × 11 = 110; 110 – 12 =
98
- IN 8 → 8 × 11 = 88; 88 – 12 =
76
- IN 6 → 6 × 11 = 66; 66 – 12 =
54
→ Outputs: 120, 98, 76, 54
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5. Rule: × 9 + 31
- IN 1 → 1 × 9 = 9; 9 + 31 =
40
- IN 2 → 2 × 9 = 18; 18 + 31 =
49
- IN 3 → 3 × 9 = 27; 27 + 31 =
58
- IN 4 → 4 × 9 = 36; 36 + 31 =
67
→ Outputs: 40, 49, 58, 67
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6. Rule: × 8 – 5
- IN 9 → 9 × 8 = 72; 72 – 5 =
67
- IN 10 → 10 × 8 = 80; 80 – 5 =
75
- IN 11 → 11 × 8 = 88; 88 – 5 =
83
- IN 12 → 12 × 8 = 96; 96 – 5 =
91
→ Outputs: 67, 75, 83, 91
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7. Rule: × 10 + 17
- IN 25 → 25 × 10 = 250; 250 + 17 =
267
- IN 14 → 14 × 10 = 140; 140 + 17 =
157
- IN 31 → 31 × 10 = 310; 310 + 17 =
327
- IN 53 → 53 × 10 = 530; 530 + 17 =
547
→ Outputs: 267, 157, 327, 547
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8. Rule: × 6 – 22
- IN 9 → 9 × 6 = 54; 54 – 22 =
32
- IN 4 → 4 × 6 = 24; 24 – 22 =
2
- IN 6 → 6 × 6 = 36; 36 – 22 =
14
- IN 8 → 8 × 6 = 48; 48 – 22 =
26
→ Outputs: 32, 2, 14, 26
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Final Answer:
1. 33, 39, 45, 21
2. 45, 59, 80, 17
3. 49, 64, 34, 44
4. 120, 98, 76, 54
5. 40, 49, 58, 67
6. 67, 75, 83, 91
7. 267, 157, 327, 547
8. 32, 2, 14, 26
Parent Tip: Review the logic above to help your child master the concept of input output machine worksheet.
