ReasoningAges 7-9

Function machine rules

Apply a two-step function machine rule (multiply then add) to an input number. Review suitability for your learners before teaching.

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Worksheet StudioPractice pack · Ages 7-9

Function machine rules

Take your time. Show your thinking.

1. A number machine multiplies the input by 5 and then adds 9. When the input is 2, what is the output?
2. A number machine multiplies the input by 5 and then adds 15. When the input is 12, what is the output?
3. A number machine multiplies the input by 9 and then adds 9. When the input is 14, what is the output?
4. A number machine multiplies the input by 8 and then adds 6. When the input is 6, what is the output?
5. A number machine multiplies the input by 4 and then adds 8. When the input is 2, what is the output?
6. A number machine multiplies the input by 5 and then adds 7. When the input is 10, what is the output?
7. A number machine multiplies the input by 4 and then adds 11. When the input is 8, what is the output?
8. A number machine multiplies the input by 9 and then adds 6. When the input is 8, what is the output?
9. A number machine multiplies the input by 9 and then adds 2. When the input is 2, what is the output?
10. A number machine multiplies the input by 5 and then adds 13. When the input is 8, what is the output?
11. A number machine multiplies the input by 4 and then adds 7. When the input is 12, what is the output?
12. A number machine multiplies the input by 5 and then adds 14. When the input is 13, what is the output?

12 questions · Seed 49 · Age guidance, not curriculum certification

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Worksheet StudioAnswer key · Ages 7-9

Function machine rules

Answers and reasoning. Review before teaching.

1. A number machine multiplies the input by 5 and then adds 9. When the input is 2, what is the output?
19
First multiply: 2 × 5 = 10. Then add 9: 10 + 9 = 19.
2. A number machine multiplies the input by 5 and then adds 15. When the input is 12, what is the output?
75
First multiply: 12 × 5 = 60. Then add 15: 60 + 15 = 75.
3. A number machine multiplies the input by 9 and then adds 9. When the input is 14, what is the output?
135
First multiply: 14 × 9 = 126. Then add 9: 126 + 9 = 135.
4. A number machine multiplies the input by 8 and then adds 6. When the input is 6, what is the output?
54
First multiply: 6 × 8 = 48. Then add 6: 48 + 6 = 54.
5. A number machine multiplies the input by 4 and then adds 8. When the input is 2, what is the output?
16
First multiply: 2 × 4 = 8. Then add 8: 8 + 8 = 16.
6. A number machine multiplies the input by 5 and then adds 7. When the input is 10, what is the output?
57
First multiply: 10 × 5 = 50. Then add 7: 50 + 7 = 57.
7. A number machine multiplies the input by 4 and then adds 11. When the input is 8, what is the output?
43
First multiply: 8 × 4 = 32. Then add 11: 32 + 11 = 43.
8. A number machine multiplies the input by 9 and then adds 6. When the input is 8, what is the output?
78
First multiply: 8 × 9 = 72. Then add 6: 72 + 6 = 78.
9. A number machine multiplies the input by 9 and then adds 2. When the input is 2, what is the output?
20
First multiply: 2 × 9 = 18. Then add 2: 18 + 2 = 20.
10. A number machine multiplies the input by 5 and then adds 13. When the input is 8, what is the output?
53
First multiply: 8 × 5 = 40. Then add 13: 40 + 13 = 53.
11. A number machine multiplies the input by 4 and then adds 7. When the input is 12, what is the output?
55
First multiply: 12 × 4 = 48. Then add 7: 48 + 7 = 55.
12. A number machine multiplies the input by 5 and then adds 14. When the input is 13, what is the output?
79
First multiply: 13 × 5 = 65. Then add 14: 65 + 14 = 79.

12 questions · Seed 49 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 7-9

Function machine rules

Take your time. Show your thinking.

1. A number machine multiplies the input by 5 and then adds 9. When the input is 2, what is the output?
2. A number machine multiplies the input by 5 and then adds 15. When the input is 12, what is the output?
3. A number machine multiplies the input by 9 and then adds 9. When the input is 14, what is the output?
4. A number machine multiplies the input by 8 and then adds 6. When the input is 6, what is the output?
5. A number machine multiplies the input by 4 and then adds 8. When the input is 2, what is the output?
6. A number machine multiplies the input by 5 and then adds 7. When the input is 10, what is the output?
7. A number machine multiplies the input by 4 and then adds 11. When the input is 8, what is the output?
8. A number machine multiplies the input by 9 and then adds 6. When the input is 8, what is the output?
9. A number machine multiplies the input by 9 and then adds 2. When the input is 2, what is the output?
10. A number machine multiplies the input by 5 and then adds 13. When the input is 8, what is the output?
11. A number machine multiplies the input by 4 and then adds 7. When the input is 12, what is the output?
12. A number machine multiplies the input by 5 and then adds 14. When the input is 13, what is the output?

12 questions · Seed 49 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 7-9

Function machine rules

Answers and reasoning. Review before teaching.

1. A number machine multiplies the input by 5 and then adds 9. When the input is 2, what is the output?
19
First multiply: 2 × 5 = 10. Then add 9: 10 + 9 = 19.
2. A number machine multiplies the input by 5 and then adds 15. When the input is 12, what is the output?
75
First multiply: 12 × 5 = 60. Then add 15: 60 + 15 = 75.
3. A number machine multiplies the input by 9 and then adds 9. When the input is 14, what is the output?
135
First multiply: 14 × 9 = 126. Then add 9: 126 + 9 = 135.
4. A number machine multiplies the input by 8 and then adds 6. When the input is 6, what is the output?
54
First multiply: 6 × 8 = 48. Then add 6: 48 + 6 = 54.
5. A number machine multiplies the input by 4 and then adds 8. When the input is 2, what is the output?
16
First multiply: 2 × 4 = 8. Then add 8: 8 + 8 = 16.
6. A number machine multiplies the input by 5 and then adds 7. When the input is 10, what is the output?
57
First multiply: 10 × 5 = 50. Then add 7: 50 + 7 = 57.
7. A number machine multiplies the input by 4 and then adds 11. When the input is 8, what is the output?
43
First multiply: 8 × 4 = 32. Then add 11: 32 + 11 = 43.
8. A number machine multiplies the input by 9 and then adds 6. When the input is 8, what is the output?
78
First multiply: 8 × 9 = 72. Then add 6: 72 + 6 = 78.
9. A number machine multiplies the input by 9 and then adds 2. When the input is 2, what is the output?
20
First multiply: 2 × 9 = 18. Then add 2: 18 + 2 = 20.
10. A number machine multiplies the input by 5 and then adds 13. When the input is 8, what is the output?
53
First multiply: 8 × 5 = 40. Then add 13: 40 + 13 = 53.
11. A number machine multiplies the input by 4 and then adds 7. When the input is 12, what is the output?
55
First multiply: 12 × 4 = 48. Then add 7: 48 + 7 = 55.
12. A number machine multiplies the input by 5 and then adds 14. When the input is 13, what is the output?
79
First multiply: 13 × 5 = 65. Then add 14: 65 + 14 = 79.

12 questions · Seed 49 · Age guidance, not curriculum certification