Solving Absolute Value Linear Equations with F(X)

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

Solve for x: 4|3x - 5| + 20 > 6

• 4/3 < x < 2

• x < 4/3 or x > 2

• x > 14/3 or x < -4/3

• No Solution

What is always your last step of solving equations with absolute values?

• Your last step depends on the equation.

• Solve for the unknown answer.

• Check your answer.

• Celebrate that you finished the problem!

|−2n| + 10 = −50

• r = 30, -30

• r = 20,-20

• r = -5,5

• No Solution

Solve for x
l 2x−1 l +4 = 8 

• x = 2.5 and x = -1.5

• x = 2 and x = -1

• x = -2 and x = 9

• No Solution

• -50, 20

• -45, 30

• 5, 25

• 0, 35

Solve the following equation:

3|−8x| + 8 = 80

• {−7/3, 7/3}

• {−3, 3}

• {11/3, −11/3}

• No Solution

Solve for x
l 2x−1 l = 9

• x = 5 and x =-4

• x = 5 and x = -5

• Only x = 5

• No Solution

• x < 0 or x ≥ 2

• x < 0 or x > 2

• x ≤ 0 or x ≥ 2

• x ≤ 0 or x > 2

What is the solution of ∣5x-2∣=7x+14? Check for extraneous solutions

• x=-1

• x=-1, x=-8

• x=-8

• no solutions