Graphing Solutions
The first step when graphing solutions.
Set the inside of the absolute value to zero.
The first step when solving an equation algebraically.
Split the equation into two equations. One equal to the positive, and the other equal to the negative version of the number.
How do you pronounce Ms.Haley's last name?
Hal-ber-sma
What do we need to do whenever there's something outside the absolute value?
Cancel it out.
When there are two absolute values, |ax+b|=|cx+d|, we split the equations into ax+b=cx+d and ___________
ax+b=-(cx+d)
When we set the inside of the absolute value to zero, the number we get from solving is _______.
The center
What would the two equations look like to solve this equation?
|2x-4|=6
2x-4=6, 2x-4=-6
What color are Ms.Haley's cats?
Black and white/ Tuxedo
What would the first step be when solving this equation?
|3c+9|-10=4
Add 10 to both sides.
What is a dead give away that an answer is extraneous is when the equation is equal to a ___________ number.
Negative.
If we were to graph the solutions for this equation, how many spaces from the center will we move?
|x+2|=12
12
What are the solutions to the equation?
|x-7|=5
12, 2
What minor did Ms.Haley earn in college?
Mathematics
What would be the first step when solving this equation?
4|2w+7|=16
Divide by 4 on both sides.
Why can't absolute value equations equal a negative number?
When graphing the solutions to this equation, what will the center be?
|x-5|=6
5
What is an extraneous solution?
An apparent solution that does not justify the original equation.
Does Ms.Haley watch anime?
Yes, of course
What are the solutions to the equation?
2|2w+7|-2=16
1, -8
What are the solutions of the equations?
|x|=|3x+8|
-2, -4
Graph the solutions to this equation.
|x+4|=6
2 and -10
What are the solutions to the equation?
|4x-8|=16
6, -2
What is the lowest grade Ms.Haley has gotten in high school?
B+
What are the solutions to this equation?
2|3c+9|-10=4
-2/3, -16/3
Find the solutions to the equations.
|4x-2|=2|x+3|
4, -2/3