Absolute Equations

Solve for x
l 5x l = 40

• x = 8 and x =-8

• x = 35 and x = -35

• Only x = 8

• No Solution

Solve for x.
| x + 4 | = 1

• 3, 5

• -3, -5

• -3, 5

• 3, -5

Solve |2x –3| + 5 =10.

• -1, 1

• -1, 4

• -1, -4

• 1, 4

5∣ x ∣ - 8 = 2

• x = 5
  x = 2

• x = 2
  x = -2

• x = -5
  x = 10

• x = 18
  x =  -18

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

Solve the absolute value equation: |2y - 4| = 8

−2|−2r − 4| = -12

• {3,1}

• {-5,1)

• {-1, 5}

• No Solution

Solve the absolute value equation: |3x - 9| = 0