SOL 
A.4e The student will solve multistep linear and quadratic equations in two variables, including
solving systems of two linear equations in two variables algebraically and graphically.

Investigating Linear Systems in SlopeIntercept Form

Investigating Linear Systems in Standard Form
[Remember: In Standard Form, slope = (A/B) and yintercept = C/B.

Parallel Lines
Lines 1 and 2 can be manipulated by moving the corresponding sliders. Click and drag the sliders.

Solve a system of linear equations in Standard Form:
Ax + By = C
Enter values of A, B and C in the spreadsheet for the two equations your are trying to solve. You will need to click the link below and open a new window to do this.
After you have solved your system, click on the checkbox to reveal the solution.


Common Core Standards 
8.EE.8a 
8.EE.8b 
8.EE.8c 
ACED.3 
AREI.5 
AREI.6 
AREI.11 

Warmup 
 Warmup:
Solving for y (doc)

Lessons 
 Notes: Solving Systems by Graphing (ppt)

Videos 
 Video: PH Solving a System of Equations by Graphing
 Video: PH Interpreting Solutions to Systems of Equations
 Video: PH Analyzing Special Types of Systems

Explore Learning 
 Modeling Linear Systems  Activity A: Experiment with a system of two lines representing a cat‑and‑mouse chase. Adjust the speeds of the cat and mouse and the head start of the mouse, and immediately see the effects on the graph and on the chase. Connect real‑world meaning to slope, y‑intercept, and the intersection of lines.
 Solving Linear Systems by Graphing: Compare a system of equations in standard form or in slope‑intercept form to its graph. Examine the graph and table of values. Determine the solutions to the system.
 Special Types of Solutions to Linear Systems: Compare a system of equations in standard form to its graph. Examine the graph and table of values. Determine the solutions to the system.
 Systems of Linear Equations  Activity A: Solve a system of linear equations by graphing and finding the intersection of the lines of the equations. Create a system of equations, examine its graph, matrix, and table of values, and determine the solution of the system.

Geogebra 

Internet
Sites 
 Interactive
Notes: Solving Systems by Graphing
 lessons and practice problems at Regentsprep.org
 Notes:
Solving Systems by Graphing  notes on
graphing systems at Math For
Morons

Tasks 

Homework 
 Casio Calculator Investigation: Graphing Systems (doc)  (pdf)
 Glencoe PWS (pdf)
 Glencoe SG (pdf)

Journal 

Systems of Equations: Summarize the three possible
solutions to systems of linear equations. Give an example and
characteristics of each.

Study Guide 
 ExamView Quiz: Solving Systems by Graphing
 Prentice Hall Quiz

Other 
