Tuesday, February 19, 2008
Algebra (Class 51)
Lesson Title
Systems of Two Linear Equations- Part 3
Overview
In today’s class we continue working with systems of two linear equations and how to solve them. We extend our use of the combination method (adding the two equations) by learning how to transform the equations into forms which will allow for the elimination of a variable.
Textbook Sections
§9-4 (Txt. p.426) The Addition or Subtraction Mehtod
Vocabulary
systems of equations
eliminate variable
isolate
Key Attitudes
Math is about investigating and confirming
Key Ideas
Two equations have the same values only at their points of intersection.
Two lines can intersect at one point, no points, or all points.
A solution to a system of two linear equations is equivalent to the coordinates of the point of intersection of the two lines.
An equation with a single variable has a unique solution
In order to solve a system of equations you must eliminate variables until you end up with one equation and one variable
Since equations mean that the expressions on each side of the equal sign are equal, we can add or subtract other equations to eliminate a variable.
Key Skills
Solving first degree equations of one variable.
Verify that a point is the solution to the system of equations.
Solving a system of two linear equations by combination.
Turn-In (#50)
Two systems of equations to solve.
Graphing practice for equations in standard form.
Handouts
No Handouts Posted
Assignment
§9-2 (Txt. p.419)#1-3
§9-3 (Txt. p. 427) #1-3
Test 9 Corrections
Packet SP20 (The Packet is due next class-- make sure you have completed all of the problems!)
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.
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