Let’s solve each problem one by one. We’re looking for the rule that turns “Input” into “Output”. That means:
Output = Input + (some number) or
Output = Input - (some number)
We’ll check the difference between Output and Input for each row in a table, and see if it’s consistent.
---
Problem 1:
Input → Output
19 → 15 → 15 - 19 =
-4
27 → 23 → 23 - 27 =
-4
32 → 28 → 28 - 32 =
-4
33 → 29 → 29 - 33 =
-4
36 → 32 → 32 - 36 =
-4
All differences are -4 → So we
subtract 4
✔ Answer: A. Subtract 4
---
Problem 2:
In → Out
11 → 22 → 22 - 11 =
+11
23 → 34 → 34 - 23 =
+11
35 → 46 → 46 - 35 =
+11
43 → 54 → 54 - 43 =
+11
48 → 59 → 59 - 48 =
+11
All differences are +11 → So we
add 11
✔ Answer: D. Add 11
---
Problem 3:
In → Out
14 → 18 → 18 - 14 =
+4
15 → 19 → 19 - 15 =
+4
34 → 38 → 38 - 34 =
+4
45 → 49 → 49 - 45 =
+4
49 → 53 → 53 - 49 =
+4
All differences are +4 → So we
add 4
✔ Answer: C. Add 4
---
Problem 4:
In → Out
29 → 21 → 21 - 29 =
-8
34 → 26 → 26 - 34 =
-8
39 → 31 → 31 - 39 =
-8
41 → 33 → 33 - 41 =
-8
55 → 47 → 47 - 55 =
-8
All differences are -8 → So we
subtract 8
✔ Answer: D. Subtract 8
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Problem 5:
Input → Output
22 → 13 → 13 - 22 =
-9
26 → 17 → 17 - 26 =
-9
39 → 30 → 30 - 39 =
-9
48 → 39 → 39 - 48 =
-9
50 → 41 → 41 - 50 =
-9
All differences are -9 → So we
subtract 9
✔ Answer: B. Subtract 9
---
Problem 6:
Input → Output
19 → 12 → 12 - 19 =
-7
21 → 14 → 14 - 21 =
-7
30 → 23 → 23 - 30 =
-7
40 → 33 → 33 - 40 =
-7
46 → 39 → 39 - 46 =
-7
All differences are -7 → So we
subtract 7
✔ Answer: C. Subtract 7
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Problem 7:
Input → Output
20 → 16 → 16 - 20 =
-4
22 → 18 → 18 - 22 =
-4
23 → 19 → 19 - 23 =
-4
42 → 38 → 38 - 42 =
-4
44 → 40 → 40 - 44 =
-4
All differences are -4 → So we
subtract 4
✔ Answer: D. Subtract 4
---
Problem 8:
Input → Output
29 → 15 → 15 - 29 =
-14
41 → 27 → 27 - 41 =
-14
52 → 38 → 38 - 52 =
-14
53 → 39 → 39 - 53 =
-14
54 → 40 → 40 - 54 =
-14
All differences are -14 → So we
subtract 14
✔ Answer: B. Subtract 14
---
Problem 9:
In → Out
28 → 14 → 14 - 28 =
-14
38 → 24 → 24 - 38 =
-14
39 → 25 → 25 - 39 =
-14
44 → 30 → 30 - 44 =
-14
62 → 48 → 48 - 62 =
-14
All differences are -14 → So we
subtract 14
✔ Answer: C. Subtract 14
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Final Answer:
1. A
2. D
3. C
4. D
5. B
6. C
7. D
8. B
9. C
Parent Tip: Review the logic above to help your child master the concept of algebraic rules tables and graph worksheet.
