Simplify & Evaluate
What do you do first to solve an Absolute Value Equation?
Get the Absolute Value bars by themselves
| z - 13 | = 21
x = -8 and 34
|x| = 12
x = 12 and x = -12
v − 10 = −3
v=7
−12 = 2 + 5v + 2v
v = 2
How many equations should you have when solving absolute value?
Two
| d + 1 | = 7
x = 6 , -8
|x| + 6 = 3
No Solution!
–3.5 = v/0.2
v = - 0.7
−3(4r − 8) = −36
r = 5
Absolute value equations can never be equal to this
A negative number
5 | q + 6 | = 20
x = -2 , -10
4|x - 10| = 44
x = 21 and -1
418 = −22a
a= -19
75 = 3(−6n − 5)
n = -5
How do you set up the two absolute value equations?
One is positive on the right side and the other is negative
| p + 1 | + 10 = 5
No Solution!
-10 + |-6 - x| = 1
x = -17 and 5
9/5 = r - 8/5
r = 17/5 or 3 2/5
−3(1 + 6r) = 14 − r
r = -1
What is Absolute value?
The distance a number is from zero on a number line
-4 | x/8 | - 2 = -2
x = 0
6 + 4|2x + 6| = 14
x = -2 and -4
6/5 = d/(5/4)
d = 3/2 or 1.5
10p + 9 − 11 − p = −2(2p + 4) − 3(2p − 2)
p = 0