Absolute Value in Equations

How many solutions does the following equation have?

3| x + 3 | -3 = -3

• One

• Two

• Three

• Zero

What is the first step when solving an absolute value equation?

• Eliminate the y

• Switch x and y

• Eliminate any outside terms

• Set everything = to 0

• -20, -40

• 20, 40

• 0, 30

• -10, 10

How many solutions?
|x| = 0

• one

• two

• none

• infinite

Solve the following absolute value equation.

-5| 7x - 4 | = 20

• x = 0

• x = 8/7

• x = 0 and x = 8/7

• No Solution

|x - 4| = 3

can be stated as the set of points whose distance from ______ is equal to ______.

• -4; 3

• 4; 3

• 3; -4

• 3; 4

Solve for x:

l x−6 l = 6

• x = 12 and x = 0

• x = 3 and x = -3

• x = -12 and x = 0

• No Solution

|x-3|=40

• x = 43, x = -37

• x = 43, x = -43

• x = -43, x = 37

• x = 43

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

• 1

• none

• 2

• infinitely many

Solve the following Absolute Value Equation

| 2 - 2x | = 14

• x = 6 and x = -6

• x = 8 and x = -8

• x = -6 and x = 8

• No Solution