Absolute Value Equations - Basic

What is the definition of absolute value?

• The distance a number is to zero

• A positive number

• A number that has a value with a different sign

Evaluate: |-12|

• 12

• -12

• 0

• 1.2

Solve the absolute value.

|37|

• -37

• 37

Solve the absolute value.

|-10|

• 10

• -10

Solve for x
l 5x l = 40

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

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

• -14
• -4
• {-14, -4}
• no solution

• 8
  

• -8

• 15

• -15

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.

If the absolute value equation is equal to a positive number, how many solutions should it have?

• 1

• none

• 2

• infinitely many

If the absolute value equation is equal to a negative number, how many solutions should it have?

• 2

• 1

• infinitely many

• no solution