Absolute Value Equations

What's a way to define absolute value?

• The value of a number
• The opposite of a number
• The distance of a number from zero
• The multiplicative inverse of a number

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.

True or False: Is x = 4 a solution to |x + 5| = -9

• True
• False

Solve for x
l 5x l = 40

• x = 8 and x =-8
• x = 35 and x = -35
• Only x = 8
• No Solution

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

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 2x−1 l = 9

• x = 5 and x =-4
• x = 5 and x = -5
• Only x = 5
• 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

|8 - 4x| = 16

• x = -2, x = -6
• x = 2 , x = 24
• x = -2, x = 6
• No Solution

| x – 3 |= 0

• 3
• -3
• {-3, 3}
• no solution