Find the Answer
|6| = ?
6
|x| = 5
x=5 and x=-5
What is the absolute value asking us to find?
The distance from zero
|x|=2
Solutions: x=2 and x=-2
True
|x - 1| = 10
11 and -9
|-10| = ?
10
|x| = 20
x=20 and x=-20
What is the first step in our absolute value checklist?
Isolate the absolute value
|x|+7=3
Solutions: x=4 and x=-4
False
Bonus: Tell me what the answer would be?
|x + 4| = 5
1 and -9
|0| = ?
0
|x| -10 = 2
x=12 and x=-12
If the absolute value is isolated, what is the next step in our checklist?
check to see if the absolute value equals a negative
|x|-2=-1
Solution: No Solution, it equals a negative
False
First you need to isolate the absolute value by adding 2 to both sides
|x - 8| = 10
18 and -2
|3 + 2| = ?
5
|x| -5= -5
0
If your absolute value is isolated and equals a negative number, What do you do next?
put no solution as your answer
|x+2|=1
The absolute value is already isolated
True
|x + 2| = 100
98 and -102
|4 - 10| = ?
6
|x| + 8 = 6
No Solution
What is the very last step you do when solving an absolute value problem?
Double Jeopardy: what do you need to do to perform that step?
Check you solutions
*Plug it in ---- simplify --- see if it's true
|x|+3=0
The absolute value is already isolated.
False
|x + 50| = 10
-40 and -60