Solving Two-Step Absolute Value Equations

Solve for x
2 lx−4l+8=18

• x = 9 and x =-1

• x = 1 and x = -9

• x= 4 and x = -2

• No Solution

Solve for x
l 2x−1 l = 9

• x = 5 and x =-4

• x = 5 and x = -5

• Only x = 5

• No Solution

What is the first step? 

• Get absolute value alone by subtracting 5 from both sides

• Get absolute value alone by dividing by 5 on both sides

• Split into two equations

What is the correct way to write the answer? 

• x = -2 AND x = 6

• x = -2 OR x = 6

Solve for x
l x−6 l + 4= 10

• x = 12 and x = 0

• x = 3 and x = -3

• x = -12 and x = 0

• No Solution

−2|−2r − 4| = -12

• {3,1}

• {-5,1}

• {-3}

• No Solution

|8 - 4x| = 16

• x = -2, x = -6

• x = 2 , x = 24

• x = -2, x = 6

• No Solution

Solve |x – 12| - 3 = 11.

• -2, -26

• -2, 26

• 3, 25

• 4, -7

Solve the following equation:

|−2n| - 30 = −20

• {10, −10}

• {20, −20}

• {−5, 5}

• No Solution

8|-2x + 4| = 96

• x = -4, x = 8

• x = -4

• x = -4, x = -8

• x = 4, x = 8