Solving Absolute Value Equations

The video tutorial explains how to solve an absolute value equation. It begins by isolating the absolute value expression through subtraction and division. Once isolated, the argument is set equal to both positive and negative values to find potential solutions. Each resulting linear equation is solved separately, leading to the final solutions of the original equation.

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

• Add 2 to both sides

• Divide both sides by -7

• Subtract 2 from both sides

• Multiply both sides by -7

After isolating the absolute value, what should you do next?

• Subtract 4 from both sides

• Add 4 to both sides

• Set the argument equal to positive and negative values

• Set the argument equal to zero

What are the two equations formed after setting the argument equal to positive and negative values?

• x + 4 = 0 and x - 4 = 0

• x + 2 = 4 and x - 2 = 4

• x - 4 = 2 and x - 4 = -2

• x + 4 = 2 and x + 4 = -2

How do you solve the equation x + 4 = 2?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 4 from both sides

• Add 4 to both sides

What are the solutions to the original absolute value equation?

• x = 2 and x = 6

• x = -2 and x = 6

• x = -6 and x = -2

• x = 6 and x = -6