2. ABSOLUTE VALUE

4. PROPERTIES

5. Solved by using the definitions Graphing techniques are also an important part! GO JAGUARS!!! There are two answers to most absolute value equations. You must solve for the positive case and the negative case…but math student be aware… THERE ARE FAKE SOLUTIONS! SOLVING

6. Commonly called extraneous solutions What is an extraneous solution? Some solutions do not make the original equation true when checked by substitution What to do? CHECK ALL SOLUTIONS BY SUBSITUTING BACK IN, OR BY GRAPHING! FAKE SOLUTIONS

7. EXAMPLE

8. SOLVE IT!

9. Put in Calculator as 2 equations Look at the points on the graph where the lines intersect. The x values of the intersection must match your answer or it is an extraneous root! Go to Calculator! OH yeah….GO JAGUARS! NOW CHECK IT!

10. Solve, and check by graphing!

11. Each absolute value equation can be though of as an x value a certain distance from a certain point Therefore, there is typically more than one answer Sometimes there are fake answers Check in calculator 1.Plug in left side of equation for y1 2.Plug in right side of equation for y2 3.Look for intersection points 4.These must match your answers 5.If they do not, the root is extraneous SUMMARY