Solving a Basic Absolute Value Equation by Creating Two Cases

The video tutorial explains how to solve absolute value equations by considering both positive and negative cases. It demonstrates setting up two cases for the variable, solving each, and verifying the solutions by substituting back into the original equation. The tutorial concludes by confirming the solutions satisfy the absolute value equation.

What is the absolute value of a negative number?

• It is zero.

• It is always negative.

• It is always positive.

• It is the same as the original number.

When solving absolute value equations, why do we create two cases?

• To find the average of the solutions.

• To eliminate the absolute value.

• To simplify the equation.

• To account for both positive and negative values inside the absolute value.

In the equation 2y + 3 = 11, what is the first step to isolate y?

• Divide both sides by 2.

• Multiply both sides by 2.

• Add 3 to both sides.

• Subtract 3 from both sides.

What is the solution for y in the equation 2y + 3 = -11?

• y = 4

• y = -4

• y = -7

• y = 7

How do you verify the solution of an absolute value equation?

• By using a calculator.

• By graphing the equation.

• By solving the equation again.

• By checking if the solution satisfies the original equation.