Evaluating Expressions and Operations

The video tutorial explains how to evaluate a variable expression by substituting a given value for the variable and following the order of operations. It demonstrates simplifying the expression using both the order of operations and the distributive property, showing that both methods yield the same result. The tutorial aims to help viewers understand these mathematical concepts through clear examples.

What is the first step in evaluating the expression -4 * (x - 5) when x = 3?

• Performing multiplication

• Substituting x with 3

• Using the distributive property

• Adding 5 to x

What operation should be performed first according to the order of operations in the expression -4 * (3 - 5)?

• Multiplication

• Addition

• Subtraction

• Division

What is the result of the expression 3 - 5?

• 5

• 0

• 2

• -2

What is the result of multiplying -4 by -2?

• 0

• 2

• 8

• -8

What is the final result of the expression -4 * (3 - 5) when x = 3?

• -8

• 0

• 8

• 4

How can the expression -4 * (3 - 5) be evaluated using the distributive property?

• By subtracting -4 from each term inside the parentheses

• By dividing -4 by each term inside the parentheses

• By multiplying -4 by each term inside the parentheses

• By adding -4 to each term inside the parentheses

What is the result of -4 multiplied by 3 using the distributive property?

• 0

• -12

• 12

• 3

What is the sum of -12 and 20 when using the distributive property?

• 8

• 0

• -8

• 32