Absolute Value Linear Equations

Solve the absolute value equation: |4x - 3| = 1

• x = 1, x = 0.5

• x = 1, x = -0.5

• x = 2, x = 0.5

• x = -1, x = 0

Solve for x: -4|x + 5| + 2 = -126

• x = 26 or x = -36

• x = 27 or x = -37

• x = 123 or x = -133

• No Solution

What is the first step in solving this equation: |2x - 3| = 4

• Divide by 2

• Subtract 2

• Split into two parts with one part = 4 and one part = -4

• Add 3

Solve for x: 0.5|x + 14| - 3 = 7

• x = -6 or x = -22

• x = 6 or x = -34

• x = -9 or x = -19

• No Solution

The first step you would perform to solve the following absolute value equation would be what?

5| x + 1| + 6 = 26

• Divide by 5

• Subtract 1

• Subtract 6

• Remove the absolute value notation bars

• -80, -86

• 80, 83

• 83, 86

• -83, -86

• 150, 200

• -100, -150

• 50, 250

• -25, 100

Solve the equation. 
4|n + 8| = 56

• n = 6

• n = -22

• n = 6, -22

• No solution

Using absolute value, what is the correct value of x in this equation?∣x ∣= 8

• -8 or 8

• 8

• -8

• 5, 13

• -5, -13

• 5, -5

• 13