Solving Equations with Absolute Value

Solve the following equation:

−2|−2r − 4| = −12

• {3, 1}

• {−5, 1}

• {−5, 5}

• No Solution

∣ 2x + 9 ∣ = 15

• x = 3 

• x = 3
  x = -6

• x = 3
  x = -12

• x = 6
  x = -12

Solve for x
l 4x−3 l = 17

• x = 5 and x =-3.5

• x = 0 and x = -5

• x = 10 and x = -10

• No Solution

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

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

|6 - 2k| = 18

• k = -6

• k = -6, k = 12

• k = -6, k = -12

• k = -6, k = 5

|7x + 2| = 23

• No Solution

|−4 + 5x| = 16

• {16/5,12/5}

• {4,-5}

• {-12/5, 4}

• 4

Simplify:

• 8

• -8

• 1/8

• -1/8

Solve |x – 12| - 3 = 11.

• x = -2, -26

• x = -2, 26

• x = 3, 25

• x = 4, -7