In this unit we learned more about equations and more specifically how to solve for a variable. Down below are some common questions you may have about equations. In all the examples below I use x as the variable because it is a common variable you can use these steps and rules with any variable though.
What is an equation? An equation is a statement where two math expressions are equal using this symbol =.
Example: 2+2=4 this is a simple example of an equation. In this example its 2+2 which is equal (=) to 4.
What are equivalent equations?
Equivalent equations are algebraic equations that have the same solutions. Adding, subtracting, multiplying, or dividing the same number or expression to both sides of an equation produces an equivalent equation. (Don’t forget what you do to one side of the = sign you MUST do to the other side).
How to solve equations (find what x = ?)
Visually with algebra tiles
BFSD (brackets, fractions, sort, divide). When solving for x, a good way to remember the steps is to remember this phrase “best friends share desserts” which could be simplified to BFSD. B stands for brackets (use the distributive method to remove them). F stands for fractions (get rid of them by multiplying and dividing them). S stands for sort (zero pairs). D stands for divide (to get rid of the coefficient in front of the variable).
How to verify (check) a solution (answer) is correct:
To check if your answer is right you can just replace x with your answer, if the equation is equal on both sides then you have gotten the correct answer. If it’s not equal on both sides that means you have done something wrong and you should look back over your work to make sure all the moves you did were legal.