Solving multi-step problems involving absolute value linear equations in one variable

-5|3+4k|=-115

• -6.5

• 8

• 5

• 9

−2|−2r − 4| = -12

• $r=5\ \ ,\ \ r=1$

  
  

• $r=-5\ \ ,\ \ r=1$

• $r=-5$

• No Solution

• -7

• no solution

 $\left|2x+5\right|=\left|x+4\right|$  

Solve the equation

•  $x=-1\ or\ -3$  

• No solutions

•  $x=-1$  

•  $x=-3$  

How many solutions?
|x| = 0

• one
• two
• none
• infinite

Solve the following absolute value equation.

-5| 7x - 4 | = 20

• x = 0

• x = 8/7

• x = 0 and x = 8/7

• No Solution

 $\left|x\ +\ 5\right|\ =\ 43$  

• Linear

• Nonlinear

|x - 4| = 3

can be stated as the set of points whose distance from ______ is equal to ______.

• -4; 3

• 4; 3

• 3; -4

• 3; 4

 $\frac{\left|3x-1\right|}{2}=10$  

• x=7, 19/3

• x=-7, 19/3

• x=7, -19/3

• x=7 

 $\left|5-2x\right|=9$  

• No Solution

•  $x\ =\ -7\ or\ x\ =\ 2$   

•  $x\ =\ -2\ or\ x\ =\ 7$  

•  $x\ =\ -2$