Absolute Value Equations

3| −8x| + 8 = 80

• {-7/3, 7/3}

• {-3,3}

• {11/3,-11/3}

• No Solution

|v + 8| − 5 = 2 

• {-1,-15}

• {-1,-5}

• {-15,15}

• No Solution

-|−2r − 1| = 11

• {-6,5}

• {5,-6}

• -6

• No Solution

 |−2n| + 10 = −50

• {30, -30}

• {20,-20}

• {-5,5}

• No Solution

∣ 2x + 9 ∣ = 15

• x = 3 

• x = 3
  x = -6

• x = 3
  x = -12

• x = 6
  x = -12

| x – 3 |= 0

• 3

• -3

• {-3, 3}

• no solution

−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:

• {24}

• {-6, -8}

• {16, 4}

• {24, -24}

5∣ x ∣ - 8 = 2

• x = 5
  x = 2

• x = 2
  x = -2

• x = -5
  x = 10

• x = 18
  x =  -18