Working on exploring algebra: Whats the Rule I understand the rules of In and out but cannot find rule with variable? Do I make up my own because the in and out equations are all correct. Please help. Ex. In 2 out 6 rule is add 4 what is rule with variable?
When dealing with algebraic expressions and equations, the rule you're referring to is often called a function or a formula. In your example, you stated that when the input is 2, the output is 6, and the rule is to add 4. Now, you want to find a rule that uses a variable instead.
To find the rule with a variable, you need to use the information you already have and generalize it. In this case, you can let the variable represent the input value. Let's say the variable is "x."
You know that when the input is 2 (x = 2), the output is 6 (y = 6). The rule for this specific case is "add 4." So, you can write an equation to represent this:
y = x + 4
Here, "y" represents the output, and "x" represents the input. The equation states that the output is equal to the input plus 4.
Now, you can use this equation to find the output for any given input by substituting its value into the equation. For example, if the input is 5, you can find the output as follows:
y = 5 + 4
y = 9
Therefore, when the input is 5, the output is 9, according to the rule you derived.
In algebra, the goal is to find a general formula that allows you to find the output for any given input. By expressing the rule with a variable, you can easily adapt it to different input values.