Alg 1 Abs Value Eqns Day 2

What is absolute value?

• The distance of a number from zero

• The direction in which a number is compared to zero

• Some straight lines that make things positive

• The value of being absolute.

What is the result of an absolute value being equal to a positive number?

• No Solutions

• One Solution

• Two Solutions

What is the result of an absolute value being equal to zero?

• No Solutions

• One Solution

• Two Solutions

What is the result of an absolute value being equal to a negative number?

• No Solutions

• One Solution

• Two Solutions

Solve: |x|=5

• $x=-5$
  

• $x=5$
  

• 
  

  $x=\pm5$

Solve: |2x|=8

•  $x=-4$ 
  

•  $x=4$ 
  

• 
  

   $x=\pm4$ 

Solve: |x-3|=7

•  $x=10$ 
  

•  $x=-4$ 
  

• 
  

   $x=\left\{-4,10\right\}$ 

Solve

 $\left|2x+1\right|=5$  

•  $x=\left\{2,-3\right\}$  

•  $x=2$  
  

•  $x=-3$  
  

Solve

 $2\left|3x\right|=6$  

•  $x=1$  

•  $x=\left\{-1,1\right\}$  

•  $x=-1$  

Solve: 3|x|-3=9

• $x=4$

• $x=-4$

• $x=\pm4$