Evaluating Integer Expressions: Simplification Techniques

The video tutorial covers the rules for performing basic arithmetic operations with positive and negative numbers. It then progresses to evaluating algebraic expressions by substituting given values for variables. The tutorial emphasizes the importance of following the order of operations to simplify expressions correctly. Through examples, it demonstrates how to handle expressions with multiple operations and variables, ensuring the correct application of arithmetic rules.

What is the first step in evaluating an expression with given values for variables?

• Add all the numbers first

• Multiply all the numbers first

• Replace the variables with their given values

• Divide all the numbers first

In the expression 5x - 2y + 3a, if x = 6, y = -4, and a = 3, what is the value of 5x?

• 20

• 25

• 30

• 10

How do you handle the expression -2 * -4?

• The result is undefined

• The result is zero

• The result is negative

• The result is positive

What is the result of 3 * 3 in the expression 5x - 2y + 3a?

• 6

• 9

• 12

• 15

What is the final value of the expression 5x - 2y + 3a when x = 6, y = -4, and a = 3?

• 51

• 49

• 47

• 45

In the new expression, what is the first operation to perform according to the order of operations?

• Addition

• Subtraction

• Multiplication

• Squaring

What is the result of squaring -4 in the new expression?

• 8

• -16

• -8

• 16

What is the result of 2 * 16 in the new expression?

• 24

• 20

• 28

• 32

What is the result of 32 - 6 in the new expression?

• 24

• 28

• 26

• 22

What is the final value of the new expression when simplified?

• 4

• 3

• 2

• 1