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

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

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

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

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

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.

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

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

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

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

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

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

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

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

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

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

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