1. Checking Solutions with a Two Column Table
Copyright Scott Storla 2015

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

3. 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

4. Copyright Scott Storla 2015

5. 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

6. 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

7. 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

8. 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

9. 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

10. 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

11. 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

12. 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

13. 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

14. 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

15. 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

16. Checking Solutions with a Two Column Table
Copyright Scott Storla 2015