Absolute Value Equations and Extraneous Solutions

8|-2x + 4| = 96

• x = -4, x = 8

• x = -4

• x = -4, x = -8

• x = 4, x = 8

|3h + 2| = 14 - h

• h = 3, -8

• h = 3

• h = 3, 8

• no solution

|-7n + 4| + 9 = 34

• n = -3

• n = 1, n = 8

• n = -3, n = 4

• n = -3, n = 29/7

Solve and check for extraneous solutions. 2|x + 5| - 6 = 8

• No Solution

• x  = 12 and x = -2

• x = -12 and x = 2

• x = -12

|x-3|=40

• x = 43, x = -37

• x = 43, x = -43

• x = -43, x = 37

• x = 43

|x+7|=12

• x = -5, x = 19

• x = 5, x = -19

• x = 5, x = -5

• x = 12, x = -7

|2a - 10| = 6

• a = 8, a = 5

• a = 2

• a = 8

• a = 8, a = 2

|6x-4| = 14

• x = 3, x = 10/6

• x = -3, x = -10/6

• x = -10/6, x = 3

• No Solution

8 + 3|4x - 6| = 38

• x = 4

• x = -1, x = 4

• x = -1, x = 0

• x = -4, x = 0

Solve for x: -4|x + 5| + 2 = -126

• x = 26 or x = -36

• x = 27 or x = -37

• x = 123 or x = -133

• No Solution