Absolute value equations

∣ 2x + 9 ∣ = 15

• x = 3 
• x = 3
  x = -6
• x = 3
  x = -12
• x = 6
  x = -12

|8 - 4x| = 16

• x = -2, x = -6
• x = 2 , x = 24
• x = -2, x = 6
• 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

Evaluate each expression.

| x + 9 | = -5

• x = -14

• x = -4

• x = -14 and x = -4}

• no solution

−2|−2r − 4| = -12

• {5,1}
• {-5,-1}
• {-5,1}
• No Solution

• no solution

• 40

• 25

• 15

5 - 10| -10p -1| = -5

• p = -1/5, p = 4
• p = 0, p = -1/5
• p = 4, p = -2
• p = 2, p = 3