4. Absolute Value Equation

Solve for x
l 2x−1 l = 9

• x = 5 and x =-4
• x = 5 and x = -5
• Only x = 5
• No Solution

| x + 6 | = 11

• x = -6 and x = 11
• No Solution
• x = 5 and x = -17
• x = -5 and x = 17

Solve the following equation:

∣ 2x + 9 ∣ = 15

• x = 3

• x = 3, x = −6

• x = 3, x = −12

• x = 6, x = −12

There are 50 donkeys and chickens on a far.  There are a total of 174 legs.  Which system below can be used to figure out how many of each animal the farm has?

• d + c = 174
  4d + 2c = 50
• d + c = 50
  4d + 2c = 174
• d + c = 50
  2d + 4c = 174
• d + c = 174
  2d + 4c = 50

|−4 + 5x| = 16

• {16/5,12/5}
• {4,-5}
• {-12/5, 4}
• 4

∣ 2x + 9 ∣ = 15

• x = 3 
• x = 3
  x = -6
• x = 3
  x = -12
• x = 6
  x = -12

| x + 6 | = 11

• x = -6 and x = 11
• No Solution
• x = 5 and x = -17
• x = -5 and x = 17

Solve for x
l 2x−1 l = 9

• x = 5 and x =-4
• x = 5 and x = -5
• Only x = 5
• No Solution

Solve the following equation:

|2a + 10| = 6

• a = 8, a = 2

• a = −2

• a = −8

• a = −8, a = −2

• Cancel the 7 by subtracting 7 on both sides of the equation.

• Cancel the -5 by adding 5 on both sides of the equation.

• Cancel the 47 by subtracting 47 on both sides of the equation.

• Cancel the -5 by dividing by -5 on both sides of the equation.