Checking Solutions with a Two Column Table

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Presentation transcript:

Checking Solutions with a Two Column Table Copyright Scott Storla 2015

Copyright Scott Storla 2015 The idea of a solution Copyright Scott Storla 2015

Solving an equation means we find all values that make the equation true. Checking whether 4 is a solution. Checking whether 3 is a solution. 4 is a solution. 3 is not a solution. Copyright Scott Storla 2015

Copyright Scott Storla 2015

Copyright Scott Storla 2015 Check the solution by creating and using a two column table. Simplify the expression showing one operation per line. Copyright Scott Storla 2015

Copyright Scott Storla 2015 Check the solution by creating and using a two column table. Simplify the expression showing one operation per line. Copyright Scott Storla 2015

Copyright Scott Storla 2015 Check the solution by creating and using a two column table. Simplify the expression showing one operation per line. Copyright Scott Storla 2015

Copyright Scott Storla 2015 Check the solution by creating and using a two column table. Simplify the expression showing one operation per line. Copyright Scott Storla 2015

Copyright Scott Storla 2015 Check the solution by creating and using a two column table. Simplify the expression showing one operation per line. Copyright Scott Storla 2015

Copyright Scott Storla 2015 Since subtraction isn’t commutative solving equations where the variable term is subtracted is one of the hardest forms to work with. A good workaround is to consider subtraction as adding an opposite. Check the solution by creating and using a two column table. Simplify the expression showing one operation per line. Copyright Scott Storla 2015

Copyright Scott Storla 2015 Check the solution by creating and using a two column table. Simplify the expression showing one operation per line. Copyright Scott Storla 2015

Copyright Scott Storla 2015 Check the solution by creating and using a two column table. Simplify the expression showing one operation per line. Copyright Scott Storla 2015

Copyright Scott Storla 2015 In practice most people “see” the addition of the opposite and use the commutative property (addition is commutative) to rearrange the terms. Check the solution by creating and using a two column table. Simplify the expression showing one operation per line. Copyright Scott Storla 2015

Copyright Scott Storla 2015 Check the solution by creating and using a two column table. Simplify the expression showing one operation per line. Copyright Scott Storla 2015

Copyright Scott Storla 2015 Check the solution by creating and using a two column table. Simplify the expression showing one operation per line. Copyright Scott Storla 2015

Checking Solutions with a Two Column Table Copyright Scott Storla 2015