Absolute Value Review (3.1-3.4 Algebra 2)

How many solutions does the following equation have?
 $\left|3x-6\right|=9$  

• No solutions

• 1 solution

• 2 solutions

• Infinitely many solutions

How many solutions does the following equation have?
 $\left|2x+1\right|=-5$  

• No solutions

• 1 solution

• 2 solutions

• Infinitely many solutions

How many solutions does the following equation have?
 $\left|3-x\right|=0$  

• No solutions

• 1 solution

• 2 solutions

• Infinitely many solutions

How should you set up the following inequality in order to solve it?
 $\left|2x-3\right|<5$  

•  $2x-3<-5\ \ or\ \ 2x-3>5$  

•  $-5<2x-3<5$  

How should you set up the following inequality in order to solve it?
 $\left|4x+1\right|\ge7$  

•  $4x+1\ge7\ \ or\ \ 4x+1\le-7$  

•  $-7\le4x+1\le7$  

How should you set up the following inequality in order to solve it?
 $\left|x-5\right|>8$  

•  $x-5>8\ \ or\ \ x-5<-8$  

•  $-8<x-5<8$  

How should you set up the following inequality in order to solve it?
 $\left|2-x\right|\le6$  

•  $2-x\le-6\ \ or\ \ 2-x\ge6$  

•  $-6\le2-x\le6$  

Which of the following graphs is the graph of  $y=-2\left|x-3\right|+6$ ? 

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Tags

CCSS.HSF-IF.C.7D

Which of the following graphs is the graph of  $y=2\left|x+3\right|-6$ ? 

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Tags

CCSS.HSF-IF.C.7D

In comparison to  $y=\left|x\right|$ , the graph of  $y=\left|x-5\right|$  is shifted ...

• to the left 5

• to the right 5

• up 5

• down 5