Understanding Absolute Value Equations

The video tutorial explains how to solve the absolute value equation 3x - 9 = 0. It begins by discussing the properties of absolute values, particularly when they equal zero. The tutorial then walks through solving the equation by isolating x, resulting in x = 3. Finally, it demonstrates how to graph this solution on a number line, marking the point where x equals 3.

What is the first step in solving the absolute value equation 3x - 9 = 0?

• Set the expression inside the absolute value to zero

• Subtract 9 from both sides

• Add 9 to both sides

• Multiply both sides by 3

When the absolute value of an expression equals zero, what must the expression inside be?

• A negative number

• A positive number

• Any real number

• Zero

If the absolute value of an expression is a positive number, what are the possible values of the expression inside?

• Only positive

• Zero

• Both positive and negative

• Only negative

What operation is performed after setting 3x - 9 equal to zero?

• Subtract 9 from both sides

• Add 9 to both sides

• Divide both sides by 3

• Multiply both sides by 3

What is the value of x when solving the equation 3x - 9 = 0?

• x = 2

• x = 1

• x = 0

• x = 3

What is the result of dividing both sides of the equation 3x = 9 by 3?

• x = 2

• x = 1

• x = 3

• x = 4

How do you represent the solution x = 3 on a number line?

• Shade the area around 3

• Circle the number 3

• Place a dot at 3

• Draw a line through 3

What is the purpose of graphing the solution on a number line?

• To find multiple solutions

• To visually represent the solution

• To check for errors

• To solve another equation