Solving Absolute Value Equations with Extraneous Solutions

|v + 8| − 5 = 2 

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

 |−2n| + 10 = −50

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

|2a - 10| = 6

• a = 8, a = 5
• a = 2
• a = 8
• a = 8, a = 2

| x – 3 |= 0

• 3
• -3
• {-3, 3}
• no solution

−2|−2r − 4| = -12

• {3,1}

• {-5,1}

• {-5,5}

• No Solution

Solve |2x –3| + 5 =10.

• -1, 1
• -1, 4
• -1, -4
• 1, 4

Solve for a. |2a - 10| = 6

• a = 8, a = 5

• a = 8

• a = 8, a=-2

• a = 8, a = 2

Solve for k. |6 - 2k| = 18

• k = -6, k = 6

• k = -6, k = 12

• k = -6, k = -12

• k = -6, k = 5

Solve for p. 9|9 - 2p| = 81

• p = 0, p = -9

• p = -63/2, p = 99/2

• p = 0, p = 9

• No Solution

Solve.

8 - 9|10r - 9| = -73

• r = 9/5, r = 0

• r = 0, r = 5

• r = 9/5, r = 1

• r = -63/10, r= 0