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6.4B Elimination Using Multiplication

Standard(s):

  • A.REI.C.5: Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

  • A.REI.C.6: Solve systems of linear equations exactly and approximately (e.g., with grap), focusing on pairs of linear equations in two variables.I can use function notation to show that when f(x)=y and g(x)=y that f(x)=g(x).


Essential Question:

  • In what ways can the problem be solved, and why should one method be chosen over another?


Learning Target:

  • I can define systems of equations.(Knowledge)

  • I can solve a system of two equations in two variables by elimination.(Application)

  • I can define solutions of systems of equations.(Knowledge)

  • I can explain why some linear systems have no solutions.(Comprehension)

  • I can identify linear systems with no solutions.(Comprehension)

  • I can explain why some linear systems have infinite solutions.(Comprehension)

  • I can identify linear systems with infinite solutions.(Comprehension)

  • I can solve a system of linear equations algebraically to find an exact solution.(Application)

  • I can find an exact solution to a system of linear equation by graphing.(Knowledge)

  • I can explain that a point of intersection on the graph of a system of equations is the solution to both equations.(Comprehension)

  • I can use function notation to show that when f(x)=y and g(x)=y that f(x)=g(x).(Application)

  • I can explain that the value making f(x)=g(x) true is the x coordinate of the intersection point.(Comprehension)


Warm-Up:
     

Notes: 
  • Refer to the notes from section 6.4A
Extra Help:
Click on the image below for help 
http://www.wolframalpha.com/

Assessment/Homework:
Worksheet 6.4 2-14 even,15
https://drive.google.com/file/d/0B7PRmllaLVfFM0kwN1Y1TlZrTUE/view?usp=sharing

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