Absolute Value

Solve for x
l 2x−1 l = 9

• x = 5 and x =-4

• x = 5 and x = -5

• Only x = 5

• No Solution

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

Evaluate each expression.
| x + 9 | = -5

• -14

• -4

• {-14, -4}

• no solution

How many solutions does the equation have?

4|m| = -20

• no solution

• one solution

• two solutions

−2|−2r − 4| = -12

• x = 5 and x = 1

• x = -5 and x = -1

• x = -5 and x = 1

• No Solution

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.

Solve the absolute value equation. 

• {7}

• {-7, 7}

• {0, 7}

• No Solution

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

Solve for x
l 3x + 2 l = 5

• x = -2.333... and x = 1

• x = 4 and x = 8

• x = 0

• No Solution

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