Solving Absolute Value Equations - Version 2

| x – 3 |= 0

• x = 3

• x = -3

• x = 0

• no solution

| x + 9 | = -5

• x = -14

• x = -4

• x = 14

• x = 4

• No solution

∣ 2x + 9 ∣ = 15

• x = 3

• x = -6

• x = 6

• x = -12

• No solution

Solve |x – 12| - 3 = 11.

• x = 14

• x = -2

• x = 26

• x = 4

• No solution

Solve |2x –3| + 5 =10.

• x = 4

• x = -1

• x = -4

• x = 1

• No solution

−2|−2r − 4| = −12

• r = -1

• r = 1

• r = −5

• r = -5

• No solution

9|9 - 2p|+1 = 82

• p = -9

• p = 9

• p = 0

• p = -2

• No solution

|3x + 18|= 6x

Check for extraneous solutions!

• x = 6

• x = -2 - extraneous solution

• x = 6 - extraneous solution

• x = -2

• No solution