Absolute Value Equations Solve

Solve. 2|x| - 3 = 13

• 4

• -4

• 8

• -8

• No Solution

|-5| = ?

Answer explanation

Absolute value is a distance. Distance is always positive.

What is the extraneous solution to the equation, |x - 15| = 4x

• -5

• 3

• 15

• -15

• no extraneous solutions

Solve for x
l 5x l = 40

• x = 8 and x =-8

• x = 35 and x = -35

• Only x = 8

• 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

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

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

Solve |2x –3| + 5 =10.

• -1, 1

• -1, 4

• -1, -4

• 1, 4

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

• a = 8, a = 5

• a = 8

• a = 8, a=-2

• a = 8, a = 2