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

 $\left|3-2x\right|=7$  

• -8, 4

• -2, 7

• -4, 12

• -2, 5

 $\left|3x+2\right|=2x+1$  

Solve the equation

• No solutions

• x = -1

•  $x=-\frac{3}{5}$  

•  $x=-1\ or\ -\frac{3}{5}$  

Solve for x

l x−6 l + 4= 10

• x = 0 and x = 12

• x = 3 and x = -3

• x = -12 and x = 0

• No Solution

• -17/5

• 17/5

• 4

• -4

|x| = -3

• x = -3, x = 3

• x = 3 only

• infinitely many solutions

• no solution

Solve for x.

l 2x−3 l = 4x−1

Check all solutions.

• x = -1

• x = 1

• $x=\frac{2}{3}$

• $x=-\frac{2}{3}$

• No Solution

|2x - 3| = 15

• x = -6 or x = 9

• x = -9 or x = 6

• x = 9

• No Solution

Identify the solutions to  $\left|5x\right|=40$  

•  $x=\pm8$  

•  $x=\pm35$  

•  $x=8$  

•  $x=200$  

Solve

• -2/5, -1

• 2/5, -1

• -2/5, 1

• ARN

Select the TRUE statement.

 $\left|x-4\right|=5x$  

• There are 2 solutions.

• There is 1 solution.

• There are no solutions.