Absolute Equations

Sam's house is 14 blocks from the school. Emily lives 6 blocks from Sam. Use an absolute value equation to determine Emily's distance for the school.

• |x + 6| = 10
  6, 14

• |x – 6| = 14
  20, 8

• |x – 14| = 6
  20, 8

• |x + 14| = 6
  6, 14

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

| x – 3 |= 0

• 3

• -3

• {-3, 3}

• no solution

Solve:

• {24}

• {-6, -8}

• {16, 4}

• {24, -24}

 |−2n| + 10 = −50

• {30, -30}

• {20,-20}

• {-5,5}

• No Solution

Solve for a. |2a - 10| = 6

• a = 8, a = 5

• a = 8

• a = 8, a=-2

• a = 8, a = 2

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

|8 - 4x| = 16

• x = -2, x = -6

• x = 2 , x = 24

• x = -2, x = 6

• No Solution

Solve for x
2 lx−4l+8=18

• x = 9 and x =-1

• x = 1 and x = -9

• x= 4 and x = -2

• No Solution

Solve the following equation:

|−2n| - 30 = −20

• {10, −10}

• {20, −20}

• {−5, 5}

• No Solution