Absolute Value

Solve for x
l 5x l = 40

• x = 8 and x =-8
• x = 35 and x = -35
• Only x = 8
• No Solution

Solve. Select BOTH solutions.

 $\left|\frac{x}{5}\right|=3$  

• 8
  

• -8

• 15

• -15

Solve  | 2x - 1 | = -4

• x = ¹/₂ and x = -4
• No Solution
• x = ^-3/₂ and x = ⁵/₂
• x = ³/₂ and x = ^-5/₂

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

Evaluate each expression.

| x + 9 | = -5

• x = -14

• x = -4

• x = -14 and x = -4}

• 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 | 3n + 12 | = 2n

• No Solution

• n = -12 or n = ^-12/₅

• n = -12

• n = ^-12/₅

Solve for k.

|6 - 2k| = 18

• k = -6, k = 6

• k = -6, k = 12

• k = -6, k = -12

• k = -6, k = 5

Solve for x
l x−6 l + 4= 10

• x = 12 and x = 0
• x = 3 and x = -3
• x = -12 and x = 0
• No Solution

Solve | 3x - 6 | - 9 = -3

• No Solution

• x = 0 or x = 4

• x = 2 or x = -2

• x = -4 or x = 4