Exam Prep Study Notes (Things to remember)
A mathematical statement of an equality containing one or more variables
These are equations that take only one step to isolate the variable. Example x + 5 = 2. When you subtract both sides by 5 you get the answer.
The trick to solve equations is to isolate the variable.
Simplify each side of the equation first
move the variable to one side of the equation
perform the inverse operations of addition or subtraction
perform the inverse operations of multiplication or division as needed
confirm the answer by substituting the value of the variable into the equation.
=22a + 170 = 10a - 44
Add 22a to both sides to get
170 = 32a - 44
Now add 44 to both sides to get
214 = 32a
Now divide both sides by 32 to get the value of a
a = 214/32 = 6.6875
Now substitute the value of a into 170 = 32a - 44 to check the validity of the answer.