Absolute Value Expressions and Equations

Solve the absolute value equation. 

• {7}

• {-7, 7}

• {0, 7}

• No Solution

Solve for x
l 4x−3 l = 17

• x = 5 and x =-3.5

• x = 0 and x = -5

• x = 10 and x = -10

• No Solution

Solve for x
l 5x l = 40

• x = 8 and x =-8

• x = 35 and x = -35

• Only x = 8

• No Solution

|-6|

• 6

• -6

• 0

• -5

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

Solve for x
l 2x−1 l = 9

• x = 5 and x =-4

• x = 5 and x = -5

• Only x = 5

• No Solution

• -50, 20

• -45, 30

• 5, 25

• 0, 35

Evaluate the expression.
|–5| + 8

• 3

• 13

• -13

• -3

∣ 2x + 9 ∣ = 15

• x = 3 

• x = 3
  x = -6

• x = 3
  x = -12

• x = 6
  x = -12

• 5 and - 5 

• 45 and - 45 

• 12 and - 12 

• 18 and - 18