Learn How To Solve an Absolute Value Equation

The video tutorial explains the concept of absolute value as the distance from zero, emphasizing that it is always positive. It covers solving absolute value equations by isolating the absolute value sign and creating two cases for positive and negative solutions. The tutorial also highlights the importance of checking solutions to ensure they are not extraneous, especially when the absolute value equals a negative number.

What does the absolute value of a number represent?

• The square of the number

• The negative of the number

• The distance from zero

• The number itself

When solving absolute value equations, how many solutions should you typically expect?

• One solution

• No solutions

• Two solutions

• Three solutions

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

• Multiply both sides by a constant

• Divide both sides by a constant

• Isolate the absolute value expression

• Add a constant to both sides

In the example provided, what is the result of solving the equation 2V + 3 = 10?

• V = 5

• V = 3.5

• V = 2.5

• V = 4

Why is it important to check your solutions in absolute value equations?

• To confirm the solution is zero

• To verify the solution is negative

• To ensure the solution is positive

• To identify any extraneous solutions

What is an extraneous solution?

• A solution that is always negative

• A solution that is always positive

• A solution that does not satisfy the equation

• A solution that satisfies the equation

What happens if the absolute value equals a negative number?

• The equation has a zero solution

• The equation has no solution

• The equation has a valid solution

• The equation has multiple solutions