Equations With Absolute Value On One Side

What do we do first with the following Absolute Value equation?

• The absolute value is by itself, so we can set up our two equations. One to = 19, the other to = -19.

• The absolute value symbol is by itself, so we're done.

• The absolute value symbol is by itself. Just pretend it isn't there.

• Since the absolute value symbol is alone on one side of the = sign, we can set up 2 equations. BOTH = to -19.

What do we do first with the following Absolute Value equation?

• The absolute value is by itself, so we can set up our two equations. One to = 6, the other = to -6.

• Add 2 to both sides

• Subtract 2 from both sides

• Divide both sides by 2

What do we do first with the following Absolute Value equation?

• The absolute value is by itself, so we can set up our two equations. One to = 3, the other = to -3.

• Add 4 to both sides

• Subtract 4 from both sides

• Divide both sides by 2

Solve for x
l 2x−1 l = 9

• x = 5 and x =-4

• x = 5 and x = -5

• Only x = 5

• No Solution

Solve for x
l 2x−1 l +4 = 8 

• x = 2.5 and x = -1.5

• x = 2 and x = -1

• x = -2 and x = 9

• No Solution

• -50, 20

• -45, 30

• 5, 25

• 0, 35

Solve for x

|x-3| = 5

Don't forget to choose two answers!

• 8

• -2

• 5

• 3

• 2

• -545, -575

• -550, -525

• 540, 280

• 0, 575

−2|−2r − 4| = -12

• {3,1}

• {-5,1)

• {-1, 5}

• No Solution

• 8
  

• -8

• 15

• -15