SOLVING EQUATIONS CA 5.0

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

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

Look for the DISTRIBUTIVE PROPERTY

Look to COMBINE LIKE TERMS on the same side

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)

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