Evaluating Expressions with Variables and Order of Operations

This video tutorial focuses on evaluating mathematical expressions using the order of operations, commonly known as PEMDAS. It begins with basic arithmetic examples and progresses to more complex expressions involving variables, fractions, and exponents. The tutorial emphasizes the importance of performing operations in the correct order to obtain accurate results. Several examples are provided to illustrate these concepts, including algebraic expressions with given variable values.

What does the 'P' in PEMDAS stand for?

• Product

• Parentheses

• Percentage

• Power

Which operation should be performed first in the expression 7 + 4 * 3?

• Addition

• Subtraction

• Multiplication

• Division

What is the result of 36 - 12 / 3?

• 8

• 12

• 32

• 24

In the expression 24 / 6 * 2, which operation should be performed first?

• Subtraction

• Addition

• Multiplication

• Division

What is the result of 8 * 5 / 4?

• 10

• 16

• 8

• 12

What is the result of 24 + 12 / 10 - 4?

• 12

• 10

• 8

• 6

What is the result of 4 * (3 + 5) - 7 * 2?

• 24

• 20

• 18

• 22

If x = 2, y = 3, and z = -4, what is the result of 4x + 2y - 3z?

• 26

• 24

• 22

• 20

If x = 4, y = 2, and z = 4.5, what is the result of x^2 + 3y^3 / 2z + 1?

• 10

• 6

• 8

• 4

If x = 3, y = 4, and z = 12, what is the result of 4(x + y) - z / 3?

• 30

• 28

• 26

• 24