SYSTEMS OF EQUATIONS

This unit is about solving systems of equations by using two methods: graphing and substitution.  In the first method, Graphing Systems of Equations, the system is solved by graphing the two linear equations, and then examining the graphs of the equations.  If the two lines in the system intersect at one point, there is one solution (x, y). If the two lines graph on top of each other, there are many points of intersection; thus, there is an infinite number of solutions.  If the lines are parallel, there is no solution because parallel lines never intersect.   In the second method, Solving Systems by Substitution, algebraic manipulations are used to solve for x and y, if a solution exists.

 

 

 

 
 Graphing to Solve Equations--Charity Event (02:52)
Practice Worksheet: Systems of Equations - Graphing
Answer Key (Password Protected)
 

 

 

Practice Worksheet: Systems of Equations - Substitution
Answer Key (Password Protected)
 
 Pair of Linear Equations--Balloons (02:41)
 
Graph Paper
 
 
Content Explanations for Review Problems
The Real Number System and Order of Operations
Solving Two-Step Equations
Solve and Graph Linear Inequalities
Customary and Metric Units
Polygons
Perimeter, Circumference, and Area
Volume
Surface Area and Volume
Derive Formulas
Transformations
Direct and Inverse Variation
Graphs of Linear Equations
Between the Set of Ordered Pairs
Linear and Nonlinear Equations
Simplify Algebraic Expressions