Introduction to Solving Absolute Value Equations

|x+7|=12

• x = -5, x = 19

• x = 5, x = -19

• x = 5, x = -5

• x = 12, x = -7

|-2 - 4n| = 34

• n = -9, n = 8

• n = 9, n = 8

• n = -9

• n = 8

|2a - 10| = 6

• a = 8, a = 5

• a = 2

• a = 8

• a = 8, a = 2

8|-2x + 4| = 96

• x = -4, x = 8

• x = -4

• x = -4, x = -8

• x = 4, x = 8

Solve the following equation:

3|−8x| + 8 = 80

• {−7/3, 7/3}

• {−3, 3}

• {11/3, −11/3}

• No Solution

Solve for x
l 2x−1 l +4 = 8 

• x = 2.5 and x = -1.5

• x = 2 and x = -1

• x = -2 and x = 9

• No Solution

−2|−2r − 4| = -12

• {3,1}

• {-5,1}

• {-3}

• 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

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 absolute value of |-26|.

• 26

• -26

• 0

• -20