Solving Absolute Value Equations

|x+19|=25

• -6, 44
• 6, -44
• 6
• No Solution

 |−2n| + 10 = −50

• {30, -30}
• {20,-20}
• {-5,5}
• No Solution

|v + 8| − 5 = 2 

• {-1,-15}
• {-1,-5}
• {-15,15}
• No Solution

∣ 2x + 9 ∣ = 15

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

5∣ x ∣ - 8 = 2

• x = 5
  x = 2
• x = 2
  x = -2
• x = -5
  x = 10
• x = 18
  x =  -18

|3x| = 9

• x = 2 OR x = 3
• x = -3 OR x = 3
• x = 6 OR x = -6
• x = 3 OR x = 3

 3 |−8x| + 8 = 80 

• x = -3 OR x = 3
• x = 72 OR x = -72
• x = 17 OR x = -17
• x = 24 OR x = -24

-|−2r − 1| = 11

• {-6,5}
• {5,-6}
• -6
• No Solution

|−4 + 5x| = 16

• {16/5,12/5}
• {4,-5}
• {-12/5, 4}
• 4

−2|−2r − 4| = -12

• {5, - 1}

• {-5, 1}

• {-5}

• No Solution