1. 1.3 Solving Linear Equations
p. 19

2. What is an equation? A statement in which 2 expressions are =
Ex: Which of the following are equations?
3x-7=12 b. 24x+5
2x-7x2+4x3 d. 12x+3= -4x-8

3. Properties of Equality
Property of Equality for Addition - can add the same term to both sides of an equation.
Property of Equality for Subtraction - can subtract the same term from both sides of an equation.
Property of Equality for Multiplication - can multiply both sides of an equation by the same term.
Property of Equality for Division - can divide both sides of an equation by the same term.
** So basically, whatever you do to one side of an equation, you MUST do to the other!

4. To solve an equation for a variable:
Look for Distributive Property.
Combine like terms on same side of equal sign
Do order of operations backwards (undo +/- first, then mult/div.)
Keep going until the variable is by itself on one side of the equation
You may have to simplify each side first.

5. Example: Solve for the variable.

6. Ex: Solve for x.

7. Ex: Solve the equations.
5(x-4)=5x+12
5x-20=5x+12
-20=12
This is not true!
Answer: No solution
7x+14 -3x=4x+14
4x+14=4x+14
0=0
This one makes sense, but there’s no variable left!
Answer: All real numbers