Understanding Absolute Value Equations

The video tutorial explains how to handle absolute value signs in mathematical expressions, emphasizing the importance of dealing with the innermost expressions first. It introduces the concept of absolute value and demonstrates solving equations involving absolute values by splitting them into cases. The tutorial encourages practicing these steps to gain fluency and highlights the importance of clearly outlining solutions for better understanding.

What should be dealt with first when solving expressions with absolute values?

• The absolute value signs

• The innermost brackets

• The multiplication operations

• The outermost brackets

What is the absolute value of -5?

• 10

• 5

• 0

• -5

When solving an expression, what is the result of 5 - 8?

• 3

• -3

• 8

• 0

What is the first step in solving an equation with absolute values?

• Subtract all terms

• Add all terms

• Multiply all terms

• Split the equation into cases

What do we call the different scenarios when splitting an absolute value equation?

• Variables

• Cases

• Equations

• Solutions

If x - 3 is negative, what is the absolute value of x - 3?

• x + 3

• x - 3

• 3 - x

• -x - 3

What happens to the absolute value of x - 3 if x - 3 is positive?

• It becomes -x - 3

• It becomes 3 - x

• It remains x - 3

• It becomes x + 3

How many solutions can a single absolute value equation have?

• None

• Three

• Two

• One

What should you do to help the marker when solving equations with multiple solutions?

• Use a calculator

• Erase all work

• Highlight the solutions

• Write in pencil

What is the purpose of highlighting solutions in your work?

• To help the marker see your solutions

• To confuse the marker

• To make it look neat

• To make it colorful