Absolute Value with Extraneous Solutions

|3h + 2| = 14 - h

• h = 3, -8

• h = 3

• h = 3, 8

• no solution

An extraneous solution is

• not a concern when solving absolute value equations

• an apparent solution that must be rejected because it does not satisfy the original equation

What is the extraneous solution to the equation, |x - 15| = 4x

• -5

• 3

• 15

• -15

• no extraneous solutions

What is the solution of ∣5x-2∣=7x+14?

• x=-1

• x=-1, x=-8

• x=-8

• no solutions

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

Solve the following equation:

3|−8x| + 8 = 80

• {−7/3, 7/3}

• {−3, 3}

• {11/3, −11/3}

• No Solution

−2|−2r − 4| = -12

• {3,1}

• {-5,1)

• {-1, 5}

• No Solution

Solve for y.

|y + 4| = 10 + y

• y = 10

• y = -7

• y = 7

• y = 6

|−4 + 5x| = 16

• {16/5,12/5}

• {4,-5}

• {-12/5, 4}

• 4

|v + 8| − 5 = 2 

• {-1,-15}

• {-1,-5}

• {-15,15}

• No Solution