Evaluating Quadratic Expressions

The video tutorial explains how to evaluate quadratic expressions by substituting variables with given values. It emphasizes the importance of using parentheses to correctly interpret negative numbers and demonstrates the order of operations in calculations. Two examples are provided: one with variable p and another with variable x, showing step-by-step evaluation to reach the final result.

Why is it important to use parentheses when substituting values in expressions?

• To make the expression look neat

• To ensure correct order of operations

• To avoid confusion with variables

• To simplify the expression

What is the result of (-3)^2?

• 6

• -6

• -9

• 9

What is the result of 4 times -3?

• 0

• 3

• 12

• -12

What is the final result of the expression p^2 - 4p + 7 when p = -3?

• 28

• 35

• 21

• 14

What operation should be performed first according to the order of operations?

• Division

• Multiplication

• Subtraction

• Addition

In the second example, what is the first step when evaluating 2x^2 + 5x - 3 for x = -6?

• Simplify the expression

• Substitute -6 for x

• Multiply the terms

• Add the constants

What is the square of -6?

• -12

• 12

• 36

• -36

What is the result of 5 times -6?

• 5

• 0

• 30

• -30

What is the final result of the expression 2x^2 + 5x - 3 when x = -6?

• 42

• 39

• 36

• 33

What is the importance of evaluating expressions step-by-step?

• To avoid using a calculator

• To ensure accuracy

• To save time

• To make it easier