Algebra 1 Online! Henrico County Public Schools, Virginia
Module - Systems of Equations
Lesson 1 - Graphing Systems of Equations
 Lessons 1- Graphing Systems of Equations 2- Solving Systems by Substitution 3- Solving Systems by Elimination Using Addition and Subtraction 4- Solving Systems by Elimination Using Multiplication 5- Solving Systems of Inequalities by Graphing 6- Module Review
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 Slope-Intercept Form

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Investigating Linear Systems in Standard Form

[Remember: In Standard Form, slope = -(A/B) and y-intercept = C/B.

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Parallel Lines

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

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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.

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Common Core Standards
 8.EE.8a 8.EE.8b 8.EE.8c A-CED.3 A-REI.5 A-REI.6 A-REI.11
Warm-up
Lessons
Videos
Explore Learning
1. 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.
2. 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.
3. 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.
4. 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
1. Interactive Notes: Solving Systems by Graphing - lessons and practice problems at Regentsprep.org
2. Notes: Solving Systems by Graphing - notes on graphing systems at Math For Morons