Solving Equations Involving Absolute Value

Solve |2x –3| + 5 =10.

• -1, 1

• -1, 4

• -1, -4

• 1, 4

|v + 8| − 5 = 2 

• {-1,-15}

• {-1,-5}

• {-15,15}

• No Solution

|x+19|=25

• -6, 44

• 6, -44

• 6

• No Solution

• -545, -575

• -550, -525

• 540, 280

• 0, 575

• -50, 20

• -45, 30

• 5, 25

• 0, 35

∣ 2x + 9 ∣ = 15

• x = 3 

• x = 3
  x = -6

• x = 3
  x = -12

• x = 6
  x = -12

 |−2n| + 10 = −50

• {30, -30}

• {20,-20}

• {-5,5}

• No Solution

−2|−2r − 4| = -12

• {3,1}

• {-3,-1}

• {-3}

• No Solution

5∣ x ∣ - 8 = 2

• x = 5
  x = 2

• x = 2
  x = 6/5

• x = -5
  x = 10

• x = 18
  x =  -18

Sam's house is 14 blocks from the school. Emily lives 6 blocks from Sam. Which equation represents the location of Emily's house in relation to the school?

• |x + 6| = 10

• |x – 6| = 14

• |x – 14| = 6

• |x + 14| = 6