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IM 8.5.1 Lesson: Inputs and Outputs

Study the statements carefully.

  •  because 
  •  because 
What value can be used in place of  to create true statements? Explain your reasoning.

Try to figure out what's happening in the “black box.” Note: You must hit enter or return before you click GO.

If you have a rule, you can apply it several times in a row and look for patterns. For example, if your rule was "add 1" and you started with the number 5, then by applying that rule over and over again you would get 6, then 7, then 8, etc., forming an obvious pattern. Try this for the rules in this activity. That is, start with the number 5 and apply each of the rules a few times. Do you notice any patterns? 

What if you start with a different starting number?

For each input-output rule, fill in the table with the outputs that go with a given input. Add two more input-output pairs to the table.

Pause here until your teacher directs you to the last rule.