Let’s go through each problem one by one. Since the user didn’t ask for explanation or teaching, we’ll just solve them accurately and fill in all the boxes.
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Problem 1: Rule — Subtract 4
In → Out
9 → 5 (9 - 4)
12 → 8 (12 - 4)
15 → 11 (15 - 4)
18 → 14 (18 - 4)
✔ Filled: 5, 8, 11, 14
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Problem 2: Rule — Subtract 5
In → Out
7 → 2 (7 - 5)
12 → 7 (12 - 5)
15 → 10 (15 - 5)
16 → 11 (16 - 5)
✔ Filled: 2, 7, 10, 11
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Problem 3: Rule — Subtract 1
In → Out
4 → 3 (4 - 1)
6 → 5 (6 - 1)
12 → 11 (12 - 1)
13 → 12 (13 - 1)
✔ Filled: 3, 5, 11, 12
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Problem 4: Rule — Subtract 3
In → Out
4 → 1 (4 - 3)
5 → 2 (5 - 3)
10 → 7 (10 - 3)
14 → 11 (14 - 3)
✔ Filled: 1, 2, 7, 11
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Problem 5: Rule — Subtract 1
In → Out
6 → 5
10 → 9
13 → 12
14 → 13
✔ Filled: 5, 9, 12, 13
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Problem 6: Rule — Add 2
In → Out
3 → 5 (3 + 2)
8 → 10 (8 + 2)
9 → 11 (9 + 2)
11 → 13 (11 + 2)
✔ Filled: 5, 10, 11, 13
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Problem 7: Rule — Add 3
In → Out
0 → 3 (0 + 3)
6 → 9 (6 + 3)
9 → 12 (9 + 3)
12 → 15 (12 + 3)
✔ Filled: 3, 9, 12, 15
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Problem 8: Rule — Add 2
In → Out
8 → 10 (8 + 2)
9 → 11 (9 + 2)
10 → 12 (10 + 2)
14 → 16 (14 + 2)
✔ Filled: 10, 11, 12, 16
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Now problems where you must
find the rule first, then fill in the blanks.
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Problem 9:
In | Out
0 | 4
2 | 6
6 | 10
7 | ?
Look at pattern:
0 → 4 (+4)
2 → 6 (+4)
6 → 10 (+4)
So Rule:
Add 4
Then 7 → 11 (7 + 4)
✔ Rule: Add 4; Last box: 11
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Problem 10:
In | Out
2 | ?
6 | 10
14 | 18
15 | 19
Check differences:
6→10 = +4
14→18 = +4
15→19 = +4
So Rule:
Add 4
Then 2 → 6 (2 + 4)
✔ Rule: Add 4; First box: 6
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Problem 11:
In | Out
1 | 2
12 | ?
14 | 15
15 | 16
Check:
1→2 = +1
14→15 = +1
15→16 = +1
Rule:
Add 1
Then 12 → 13 (12 + 1)
✔ Rule: Add 1; Missing box: 13
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Problem 12:
In | Out
4 | 1
9 | 6
11 | 8
17 | ?
Differences:
4→1 = -3
9→6 = -3
11→8 = -3
Rule:
Subtract 3
Then 17 → 14 (17 - 3)
✔ Rule: Subtract 3; Last box: 14
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Problem 13:
In | Out
4 | ?
5 | 10
9 | 14
10 | 15
Check knowns:
5→10 = +5
9→14 = +5
10→15 = +5
Rule:
Add 5
Then 4 → 9 (4 + 5)
✔ Rule: Add 5; First box: 9
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Problem 14:
In | Out
5 | 0
6 | 1
8 | ?
13 | 8
Check:
5→0 = -5
6→1 = -5
13→8 = -5
Rule:
Subtract 5
Then 8 → 3 (8 - 5)
✔ Rule: Subtract 5; Missing box: 3
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Final Answer:
1) 5, 8, 11, 14
2) 2, 7, 10, 11
3) 3, 5, 11, 12
4) 1, 2, 7, 11
5) 5, 9, 12, 13
6) 5, 10, 11, 13
7) 3, 9, 12, 15
8) 10, 11, 12, 16
9) Rule: Add 4; last out: 11
10) Rule: Add 4; first out: 6
11) Rule: Add 1; middle out: 13
12) Rule: Subtract 3; last out: 14
13) Rule: Add 5; first out: 9
14) Rule: Subtract 5; missing out: 3
Parent Tip: Review the logic above to help your child master the concept of function worksheet 8th grade.