1. Bellwork~Solve
1.) x - 2 = 5
2.) 2x - 7 = 9
3.)(2x-7) - 5 = 4

2. To be able to solve absolute value equations
Today’s Objective
To be able to solve absolute value equations

3. Solving absolute value equations
If |x| = 5, then what values of x would make the equation true?

4. If |x| = 5, then is |-5|=5 true?
In other words…..
If |x| = 5, then is |5| = 5 true?
If |x| = 5, then is |-5|=5 true?
Yes
Yes

5. |x| = 5
x = 5 or -5
Notice there are two solutions….

6. Solving absolute value equations
1.) Consider |x - 2| = 5,
then |x-2| could be 5 or |x-2| could be -5 and the result would be true.

7. Solving absolute value equations
|x - 2| = 5 ?
5 or -5
What goes in the box to make the equation true?

8. Solving absolute value equations
|x - 2| = 5 ?
Now lets remove the box and set what’s behind it equal to 5 and -5

9. Solving absolute value equations
|x - 2| = 5
Now lets remove the box and set what’s behind it equal to 5 and -5

10. Solving absolute value equations
x - 2 = 5
x-2+2=5+2
x = 7
x - 2 = -5
x-2+2=-5+2
x = -3
Notice, there are two solutions 7 and -3

11. Write down the following example...
Take Notes
Write down the following example...

12. Solving absolute value equations
2.) |2x - 7| - 5 = 4
|2x - 7| = 4 + 5
|2x - 7| = 9
Set what’s in the absolute value sign equal to 9 and -9….

13. Solution One
2.) 2x - 7 = 9 So...
2x = 9 + 7
2x = 16
2x/2 = 16/2
x = 8

14. 2.) 2x - 7 = -9 So... 2x - 7 + 7 = -9 + 7 2x = -2 2x/2 = -2/2 x = -1
Solution Two
2.) 2x - 7 = So...
2x =
2x = -2
2x/2 = -2/2
x = -1

15. 1.) How many solutions are there?
Questions???
1.) How many solutions are there?
2.) What do you do to get 2 solutions?

16. Now you try this one…. |x-2|=5
x - 2 = x - 2 = -5
x-2+2 =-5+2
x = -3
x-2+2=5+2
x = 7

17. Classwork
Do worksheet 4-8
Homework
page 226 (1-13)