1. Solving -Step Variable Equations

2. An equation is a mathematical sentence with an equal sign
What is an Equation?
An equation is a mathematical sentence with an equal sign
X + 5 = 20

3. We Use Opposite (Inverse) Operations to Solve Equations
Addition 
Subtraction
Multiplication 
Division
Squaring a number  Taking the Square Root

4. Helpful Hints?
Identify what operations are on the variable side. (Add, Sub, Mult, Div)
“Undo” the operation by using opposite operations.
Whatever you do to one side, you must do to the other side to keep equation balanced.

5. Standard Form
Before solving an equation, you MUST make sure that it is in Standard Form. This means that the variable is on the LEFT side of the equation! Standard form: 16 + b = 24 NOT standard form: -13 = 2 + m

6. Step 1: Find the variable
Step 1: Find the variable. What number must you remove to get the variable alone?
x + 7 = 10

7. Step 2: Use inverse operations to cancel out the number
X + 7 = 10 -7

8. Step 3: Do the same operation to the other side of the equal sign
x + 7 = 10
__________
x = 3

10. Examples:
1) x + 10 = ) -5 + y = 12
3) x – 4 = 16

11. You Try!!
x – 7 = ) x + 9 = 10
3) m + 6 = ) y – 1,576 = 3, 562

12. Journal Prompt
Dan asked, “ Is b + 3 the opposite of b – 3 ?” I can answer that, “ said Katie. What do you think Katie told Dan. Support your answer.