Evaluating Expressions and Operations

The video tutorial explains how to evaluate and simplify mathematical expressions by following the order of operations. It compares two similar expressions, one with and one without parentheses, and demonstrates the step-by-step process of simplifying each. The tutorial emphasizes the importance of performing operations in the correct order and verifies the results using a graphing calculator.

What is the first step in evaluating expressions according to the order of operations?

• Evaluate exponents

• Multiply and divide from left to right

• Add and subtract from left to right

• Simplify inside parentheses

In the expression 4 + 7 * (6 + 9), what operation should be performed first?

• Multiplication of 4 and 9

• Addition inside the parentheses

• Multiplication of 7 and 6

• Addition of 4 and 7

What is the result of 7 * 15 in the first expression?

• 115

• 105

• 95

• 125

What is the final value of the first expression 4 + 7 * (6 + 9)?

• 115

• 125

• 120

• 109

In the second expression (4 + 7) * (6 + 9), what is the result of 4 + 7?

• 12

• 9

• 11

• 10

What is the final value of the second expression (4 + 7) * (6 + 9)?

• 155

• 165

• 175

• 185

Which operation is performed last in the expression (4 + 7) * (6 + 9)?

• Addition of 6 and 9

• Subtraction of 7 from 15

• Multiplication of 11 and 15

• Addition of 4 and 7

What tool is used to verify the results of the expressions?

• Scientific calculator

• Slide rule

• Graphing calculator

• Abacus

What is the verified result of the first expression using the calculator?

• 109

• 115

• 120

• 125

What is the verified result of the second expression using the calculator?

• 185

• 165

• 155

• 175