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[]>>&<<(:showhide init=hide div=div7 lshow="+" lhide="-":) Problem Solving Techniques
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{$ \left\{ \matrix{ \color{red}{x + y = 60} \cr \color{blue}{x - y = 40} \cr} \right. \Leftrightarrow \left\{ \matrix{ x + y = 60 \cr \color{purple}{2x + 0y = 100} \cr} \right. \Leftrightarrow \left\{ \matrix{ x + y = 60 \cr \color{purple}{2x = 100} \cr} \right. $}
(:showhide init=hide div=div81 lshow="+" lhide="-":) Mathcasts
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*...
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[]>>&<<(:showhide init=hide div=div8 lshow="+" lhide="-":) Comments on this type of problem
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(:showhide init=hide div=div81 lshow="+" lhide="-":) Positive
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*The "weight" of the problem is in the setup of the equation/equations.
*Once setup - the solution is straightforward.
*It is a fairly realistic problem.
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(:showhide init=hide div=div82 lshow="+" lhide="-":) Negative
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*Usually this type of problem is so badly stated - if a student hasn't solved one like it in class, he won't even understand what is being asked!
*It is more natural to setup with two equations in two unknowns, but frequently a student is required to solve it using only one unknown.
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[]>>&<<(:showhide init=hide div=div9 lshow="+" lhide="-":) '''Metadata'''
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[ width=110px] Global
[]Wind and River Current Problem Solving
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[]Brief
[]Examines the idea of wind and river current adding and subtracting from the speed of plane or boat.
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[]Grade
[]8 (good problem for beginning systems of equations 2x2)
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[]Strand
[]Algebra 1 [[http://math247.pbwiki.com/Algebra+with+GeoGebra| AF at Math247]]
Matrix Algebra [[http://math247.pbwiki.com/Matrix+Algebra+with+GeoGebra| Algebra at Math247]]
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[]Standard
[]%popwin%[[Standards/Is1al3-4?action=popopen|Algebra 1 3.4]] %popwin%[[standards/ACTee28?action=popopen|ACT EE 28-32]]
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[]Keywords
[]linear, equation, system, 2 variables, algebra, dynamic, freeware, applet, offline, online
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[]Comments
[]Images are terrible - looking for new ones :)
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[]Download
[]coming soon
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[]Author
[]LFS - [[mailto:emath@emathforall.com?subject=ggb_problems|contact]]
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[]Type
[]Freeware - Available for Offline and Online Use - Translatable (html)
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[]Use
[]Requires [[http://www.java.com/en/download/index.jsp|sunJava player]]
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* [[GlossaryT/Systems2|Systems of 2 Linear Equations in 2 Variables]]
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