Solving Absolute Value Equations

How many solutions does the equation have?

|c - 7| = 2

• no solution

• one solution

• two solutions

How many solutions does the equation have?

|-5c| = 0

• no solution

• one solution

• two solutions

How many solutions does the equation have?

4|m| = -20

• no solution

• one solution

• two solutions

Solve. Select BOTH solutions.

 $\left|x-1\right|=3$  

• -2

• 2

• 4

• -3

Solve. Select BOTH solutions.

 $\left|\frac{x}{5}\right|=3$  

• 8
  

• -8

• 15

• -15

Solve. Select BOTH solutions.
 $\left|-4+x\right|=10$  

•  $6$  

•  $14$  

•  $\frac{5}{2}$  

•  $-6$  

|x-3|=40

• x = 43, x = -37

• x = 43, x = -43

• x = -43, x = 37

• x = 43

Solve. Select BOTH solutions.
 $\left|3x\right|+2=8$  

•  $\frac{10}{3}$  

•  $2$  

•  $-2$  

•  $-\frac{4}{3}$  

Solve. Select BOTH solutions.
 $\left|1-9x\right|=80$ 

•  $-\frac{79}{9}$  

•  $10$  

•  $-9$  

•  $9$  

|v + 8| − 5 = 2 

• {-1,-15}
• {-1,-5}
• {-15,15}
• No Solution