Determine the number that correctly fills in the blank in the function machine 2026

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  1. Click ‘Get Form’ to open it in the editor.
  2. Begin by entering your name at the designated field at the top of the form.
  3. Review each function machine presented. For each machine, identify the input and output values.
  4. Apply the given rule (e.g., Add 5, Mult 2) to determine what number fills in the blank for each function machine.
  5. Enter your answers in the corresponding output fields provided next to each function machine.
  6. Once all fields are filled, review your answers for accuracy before submitting.

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Find the given input in the row (or column) of input values. Identify the corresponding output value paired with that input value. Find the given output values in the row (or column) of output values, noting every time that output value appears. Identify the input value(s) corresponding to the given output value.
How to solve equations using a function machine Consider the order of operations being applied to the unknown. Draw a function machine starting with the unknown as the Input and the value the equation is equal to as the Output. Work backwards, applying inverse operations to find the unknown Input.
1:42 7:28 So we follow it from left to right we have to do 9 multiplied by 4 well thats 36. We then do 36MoreSo we follow it from left to right we have to do 9 multiplied by 4 well thats 36. We then do 36 takeway 7 well that gives us 29. So when our input is 9 our output is 29.
Using function machines Start with the input. Work through each function machine operation for each step from left to right. The output of each step becomes the input for the next step to the right. The final output is the result of the whole calculation.
1:49 4:50 I will now test it on the 8 8 * 5 it is indeed 40 i think I found my rule. But I want to test someMoreI will now test it on the 8 8 * 5 it is indeed 40 i think I found my rule. But I want to test some more. So Im going to put 4 in * 5 is 20.

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The function machine is a way of thinking about three aspects that make up a function: the inputs, the outputs and the rule that determines their connection (Figure 2). The representation as a machine connects them in one diagram (just like seeing a toaster makes you think of bread and toast).
A function machine is a way of writing rules using a flow diagram. The equation 3 j 6 = 9 can be shown on a function machine by writing out the functions that have been applied to in the order they happened.
1:42 7:28 We then do 36 takeway 7 well that gives us 29. So when our input is 9 our output is 29. But for partMoreWe then do 36 takeway 7 well that gives us 29. So when our input is 9 our output is 29. But for part B. We have to figure out the input when were told that the output is 25.

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