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Study the statements carefully.
What value can be used in place of to create true statements? Explain your reasoning.
Keep the rule cards face down. Decide who will go first.
After each round, the players switch roles.
For each input-output rule, fill in the table with the outputs that go with the given inputs. Add two more input-output pairs to the table.
| input | output |
|---|---|
| 7 | |
| 2.35 | |
| 42 | |
| input | output |
|---|---|
| 7 | |
| 2.35 | |
| 42 | |
| input | output |
|---|---|
| 7 | |
| 2.35 | |
| 42 | |
Pause here until your teacher directs you to the last rule.
| input | output |
|---|---|
| 1 | |
| 0 | |
An input-output rule is a rule that takes an allowable input and uses it to determine an output. For example, the following diagram represents the rule that takes any number as an input, then adds 1, multiplies by 4, and gives the resulting number as an output.
In some cases, not all inputs are allowable, and the rule must specify which inputs will work. For example, this rule is fine when the input is 2:
But if the input were -3, we would need to evaluate to get the output.
So, when we say that the rule is “Divide 6 by 3 more than the input,” we also have to say that -3 is not allowed as an input.