Absolute Value and Simple Absolute Value Equations

Solve:

• {24}

• {-6, -8}

• {16, 4}

• {24, -24}

What is the reason that absolute value is always written as a positive?

• Absolute value is talking about numbers so it must be positive.

• Absolute value does not always have to be positive.

• Absolute value is like a clock it has only positive numbers.

• Absolute value is talking about distance, distance is always measured by positive numbers.

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

 |−2n| + 10 = −50

• {30, -30}

• {20,-20}

• {-5,5}

• No Solution

Solve the absolute value equation. 

• {7}

• {-7, 7}

• {0, 7}

• No Solution

Solve for x.
2|x + 1| - 5 = 5

• x = 4 & x = 6

• x = -4 & x = 6

• x = -6 & x = 4

• no solution

Solve the absolute value equation. 

• {-4, 4}

• {-2.4, 4}

• {-16, 16}

• {-4, 2.4}

-|−2r − 1| = 11

• {-6,5}

• {5,-6}

• -6

• No Solution

Is x = 4 a solution to |x + 5| = -9

• True

• False