1. SOLVING EQUATIONS
CA 5.0

2. Objective: To create a foldable for the 6 steps to solving equations

3. Solving Equations Foldable
SOLVING EQUATIONS & SYSTEMS
Look for the DISTRIBUTIVE PROPERTY (distribute if necessary)
Look to COMBINE LIKE TERMS on the same side of the Equation
Move the Variable Terms to the same side (use opposites)
Undo the WEAK LINKS ADDITION/SUBTRACTION (use opposites)
Undo the STRONG LINKS MULTIPLICATION/DIVISION (multiply by reciprocal)
CHECK  (use substitution & order of operations)
SPECIAL CASES
LINEAR SYSTEMS

4. Look for the DISTRIBUTIVE PROPERTY

5. Look to COMBINE LIKE TERMS on the same side

6. Move the Variable Terms to the same side (use opposites)

7. Undo the WEAK LINKS ADDITION/SUBTRACTION (use opposites)

8. Undo the STRONG LINKS MULTIPLICATION/DIVISION (multiply by reciprocal)

9. CHECK  (use substitution)

10. SPECIAL CASES LINEAR SYSTEMS
 Possible Solutions of a Linear Equation
The SOLUTION to a linear system is the point of intersection, written as an ordered pair. It is also known as the BREAK EVEN POINT
Result
What Does This Mean?
How Many Solutions?
Ways to Solve a Linear System
GRAPHING
Time Consuming
Estimate (not always accurate)
Solution is the point of intersection
SUBSTITUTION
If a = b and b = c, then a = c
Best when both equations are in slope-intercept form
ELIMINATION
If a = b and c = d, then a + c = b + d
Best when both equations are in standard form
When the value of x is a, the equation is a true statement.
Any value of x makes the equation a true statement.
Infinitely Many
No Solution
There is no value of x that makes the equation a true statement.
You can recognize a special case when
ALL THE VARIABLES DISAPPEAR
Result
How Many Solutions?
Graphically?
One Solution
Lines Intersect
Infinitely Many
Same Lines
No Solution
Parallel Lines
SPECIAL CASES
LINEAR SYSTEMS