Understanding Absolute Value Concepts

The video tutorial covers evaluating absolute value expressions, starting with basic definitions and moving to advanced concepts. It explains when to change signs in expressions and how to evaluate them based on conditions like x > -5 or x < -5. The tutorial also includes simplifying expressions involving Pi, emphasizing the importance of understanding when to change signs and when to leave expressions unchanged.

What is the basic definition of absolute value?

• The square of a number

• The reciprocal of a number

• The negative of a number

• The distance from zero on a number line

What happens to the absolute value of a negative number?

• It remains the same

• It becomes positive

• It becomes zero

• It becomes negative

Why is the rule 'make everything positive' misleading?

• It only applies to integers

• It doesn't consider expressions

• It is only valid for positive numbers

• It is a rule for multiplication

What are the two options when dealing with absolute value expressions?

• Add or subtract a constant

• Multiply or divide by a constant

• Square or take the square root

• Leave it alone or change the sign

When do you change the sign of an expression inside absolute value?

• When the expression is positive

• When the expression is zero

• When the expression is negative

• When the expression is an integer

What is the result of the absolute value of 3x + 15 when x is greater than -5?

• 3x + 15

• -3x - 15

• 3x - 15

• -3x + 15

What happens to the expression 3x + 15 when x is less than -5?

• It remains the same

• It becomes -3x - 15

• It becomes 3x - 15

• It becomes -3x + 15

What is the approximate value of Pi used in calculations?

• 3.14

• 5.14

• 2.14

• 4.14

How do you handle the expression 5 - Pi when taking absolute value?

• Change it to -5 + Pi

• Change it to Pi - 5

• Change it to 5 + Pi

• Leave it as 5 - Pi

What is the result of 2 - Pi when taking absolute value?

• 2 + Pi

• -2 - Pi

• -2 + Pi

• Pi - 2