Absolute Value Equations
0 likes1,146 views
This document provides instructions for solving absolute value equations. It explains that absolute value equations have two possible answers and provides examples of setting up the equations as two separate problems, one with a positive solution and one with a negative solution. It stresses the importance of checking the potential solutions in the original equation to determine if they are valid.
Absolute Value Equations
- 1. Solving Absolute Value Equations
- 2. Terms | | Absolute Value bars or brackets.
- 3. How to Read |x+5| The absolute value of x plus five.
- 4. Goal Find the TWO possible answers for each variable.
- 5. Rules Isolate what’s in the | | on one side of the equal sign.
- 6. Rules Then set the problem up as two new problems, a + & - *Squiggle*
- 7. Example 1 |x|+2 = 5 -2 -2 |x| = 3
- 8. Example 1 x = 3 x = -3 x has two answers 3 & -3
- 9. Example 2 |x-1|-1 = 6 +1 +1 |x-1| = 7
- 10. Example 2 x-1 = 7 +1 +1 x = 8 x-1 = -7 +1 +1 x = -6
- 11. Example 3 3|x-1|-1 = 11 +1 +1 3|x-1| = 12
- 12. Example 3 (3|x-1|)/3 = 12/3 |x-1| = 4
- 13. Example 3 x-1 = 4 +1 +1 x = 5 x-1 = -4 +1 +1 x = -3
- 14. Check your work!!! Not all absolute value answers work in the original equation.
- 15. Check your work!!! Plug in the answers and make sure both sides equal each other.
- 16. Check your work!!! If you get –3=4, then that answer will not work & you have 1 instead of 2 answers.
- 17. Warning! |x| cannot = - # If you isolate and get |x+4|= - 5 NO solution!!!!