Absolute Value Equations and Expressions

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

• x = 4 & x = 6

• x = -4 & x = 6

• x = -6 & x = 4

• no solution

−2|−2r − 4| = -12

• r=5 or r=-1

• r=-5 or r=1

• r=-5

• No Solution

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

-|-6| - |-18|

• 24

• 12

• -12

• -24

Solve the following expression: (remember * means multiply)
6+|-6-3|+2*3

• -21

• 21

• 3

• -3

A(n) __________________ is an equation that contains absolute value expressions.

• absolute value equation

• linear equation

• quadratic equation

• exponential equation

Does the equation given have a solution?

• Yes it will because we have to isolate the absolute value first

• No it will not because the right side is equivalent to a negative number 

An equation that contains an absolute value expression

• Solution

• Identity 

• Absolute value equation 

• Equation

The _____ of a number is its distance from 0 on the number line.

• inverse

• absolute value

• absolute quantity

• definitive value

• -1

• 1

• 11

• -11