Picking the Correct Equation for Absolute Value

• {4, -4}
• {9, -9}
• {5, -9}
• {13, -1}

{37/4} {20/3, -7} {5, -61/9} {37/4, -9}

• {37/4}

• {20/3, -7}

• {5, -61/9}

• {37/4, -9}

| x – 3 |= 0

• 3

• -3

• {-3, 3}

• no solution

∣ 2x + 9 ∣ = 15

• x = 3 

• x = 3
  x = -6

• x = 3
  x = -12

• x = 6
  x = -12

|v + 8| − 5 = 2 

• {-1,-15}

• {-1,-5}

• {-15,15}

• No Solution

Solve |2x –3| + 5 =10.

• -1, 1

• -1, 4

• -1, -4

• 1, 4

Solve |x – 12| - 3 = 11.

• x = -2
  x = -26

• x = -2
  x = 26

• x = 3
  x = 25

• x = 4
  x =  -7

• {80/9, -8}
• {7, -3}
• {8, -39/4}
• {-11/3, 9}

5∣ x ∣ - 8 = 2

• x = 5
  x = 2

• x = 2
  x = -2

• x = -5
  x = 10

• x = 18
  x =  -18

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