Rules
What do you do first to solve an Absolute Value Equation?
Get the Absolute Value bars by themselves
| d + 5 | = 9
What is { 4 , -14 }
| w + 9 | < 17
w< 8 and w> -26
| x - 6 | > 35
x> 41 , x<-29
How many equations should you have when solving absolute value?
Two
| a - 6 | = 10
What is { 16 , -4 }
2 | x + 5 | > 22
x< -16 , x>6
| t + 9 | - 8 < 5
x< 4 , x> -22
Absolute value equations can never be equal to this
A negative number
3 | r - 4 | = -21
What is { 3 , -11 }
3 | 2a - 4 | < 0
No solution
8 | 5w - 1 | > 24
w > 4/5, w< -2/5
How do you set up the two absolute value equations?
One is positive on the right side and the other is negative
6 | g - 3 | = 42
What is { 10 , -4 }
2 | y + 4 | > 14
y>3, y<-11
5| 3b - 10 | > 15
b> 13/3, b< 7/3
Describe how you know which way to shade the number line when doing absolute value inequalities.
Shade left for less than signs and shade right for greater than signs.
4 | 7y + 2 | - 8 = - 7
What is { - 0.25, - 0.32}
-3 | 3t - 2 | -12 > -15
t>1, t< 1/3
-5 | 3z + 8 | - 5 > -20
z> -5/3, z< -11/3