Order of Operations

The video tutorial explains the order of operations in algebra, emphasizing the importance of following the PEMDAS rule: parentheses, exponents, multiplication and division, addition and subtraction. It provides examples to illustrate how different results can occur if the order is not followed. The tutorial includes step-by-step solutions to expressions, demonstrating the correct application of the order of operations to ensure consistent results in mathematical calculations.

What is the correct sequence to follow when simplifying algebraic expressions?

• Exponents, Parentheses, Addition, Subtraction, Multiplication, Division

• Addition, Subtraction, Multiplication, Division, Exponents, Parentheses

• Parentheses, Exponents, Multiplication and Division, Addition and Subtraction

• Multiplication, Division, Addition, Subtraction, Parentheses, Exponents

In the expression 9 - (5 + 3), what is the result when you follow the order of operations?

• 7

• 17

• 11

• 1

What is the result of simplifying the expression 3^2 * 10 / 2 - 7 * 4 + 15?

• 45

• 32

• 28

• 17

When simplifying 5 + (7 * 6^2 + 8), what is the first step according to the order of operations?

• Add 5 to 7

• Add 8 to 6

• Multiply 7 by 6

• Calculate 6 squared

What is the final result of the expression 5 + (7 * 6^2 + 8) when simplified correctly?

• 36

• 265

• 260

• 252