Key Features Absolute Value Equations

|v + 8| − 5 = 2 

• {-1,-15}

• {-1,-5}

• {-15,15}

• No Solution

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

Evaluate each expression.
| x + 9 | = -5

• -14

• -4

• {-14, -4}

• no solution

| x – 3 |= 0

• 3

• -3

• {-3, 3}

• no solution

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

∣ 2x + 9 ∣ = 15

• x = 3 

• x = 3
  x = -6

• x = 3
  x = -12

• x = 6
  x = -12

−2|−2r − 4| = -12

• {5,1}

• {-5,-1}

• {-5,1}

• No Solution

Solve |2x –3| + 5 =10.

• -1, 1

• -1, 4

• -1, -4

• 1, 4

Solve |x – 12| - 3 = 11.

• -2, -26

• -2, 26

• 3, 25

• 4, -7