How to Solve One Step Equations
Step 1. Identify the operation on the variable.
Step 2. Identify the inverse operation.
|A power||A root|
|A root||A power|
Step 3. Undo with the inverse operation.
Solving One Step Equations
When it only takes a single inverse operation to isolate the variable, we call the equation a one-step equation.
The inverse operation works to undo the effect of the operation acting on the variable, just like how an antidote undoes the effect of a poison.
By getting rid of the operation/poison completely on both sides, we can solve for the variable.
What does it mean to keep an equation balanced?
Keeping an equation balanced means making sure that the equation stays true as we change it.
Whatever we do to one side of the equation, also needs to be done to the other side of the equation. Otherwise, the equation will no longer be balanced (true).
|Balanced (True)||Not Balanced (False)|