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Understanding Function Machines: Find Missing Inputs

Learn how to find missing input numbers for function machines using a vertical table. Practice solving input-output sequences with rules like multiplication and division. Improve your math skills through interactive exercises.

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Understanding Function Machines: Find Missing Inputs

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  1. How do you find the input numbers for a function machine? For example: What is the missing input number? 9 ÷ 2 In Out 10

  2. In this lesson you will learn how to find the missing inputs for a function machine by using a vertical table.

  3. How Does a Function Machine Work? In Out =10 5 5 =10 x2= =10 rule Rule ? In Out

  4. When looking at a function machine, don’t stop at just at one input or output. Input three or four numbers to prove the rule works on all the input numbers.

  5. Find the input numbers. In Out 4 32 +1 +1 +1 +1 +8 +8 +8 +8 40 5 6 ?x8=48 7 ?x8= 56 56 ÷8= ? 8 ?x8=64 64 ÷8= ? rule In Out x8

  6. What are the input numbers? 7x2= ? 14 +2 +2 +1 +2 +1 +1 +1 7 8x2= ? 16 9x2= ? 18 20 10x2= ? ?÷2= 10 Rule In Out ÷2

  7. In this lesson you learned how to find the missing inputs for a function machine by using a vertical table.

  8. What are the missing input numbers? 30 ?x5= 30 6 +5 +5 +5 +5 7 ?x5= 35 35 8 ?x5= 40 ?x5= 45 9 10 Rule In Out 50÷5= ? X 5 ?x5= 50

  9. Solve for the missing input numbers. 17 2 3 19-15=4 4 5 20-15=5 6 ? +15=21 Rule In Out 21-15=6 +15

  10. Find the input numbers for the pattern. x7 In Out

  11. Find the rule and the missing input and output numbers. Rule In Out

  12. What is the missing input number? 3 B) 4 C) 5 D) 24 ? 24 What is the missing input number? x8 ÷10 50 B) 1 C) 45 D) 100 ? In In Out Out 10

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