Evaluating Expressions and Operations

The video tutorial explains how to evaluate variable expressions, starting with a single variable and progressing to multiple variables. It emphasizes the importance of following the order of operations and being cautious with signs. The tutorial provides step-by-step examples, demonstrating how to substitute variables with given numbers and compute the result accurately.

What is the primary goal when evaluating a variable expression?

• To eliminate all variables from the expression

• To simplify the expression as much as possible

• To find the value of the expression for a given variable

• To rewrite the expression in a different form

When replacing a variable with a number, what must you be cautious about?

• The color of the variable

• The order of operations and signs

• The size of the number

• The type of variable

In the expression 3x squared minus forty, what is the first step in evaluating it when x is negative five?

• Add forty to the expression

• Replace x with negative five

• Multiply x by three

• Square the number first

What is the result of negative five squared?

• Negative twenty-five

• Zero

• Negative ten

• Twenty-five

What is the final result of the expression 3x squared minus forty when x is negative five?

• Seventy-five

• Forty

• Thirty-five

• Negative thirty-five

In a complex expression with multiple variables, what is the first step?

• Solve for one variable at a time

• Plug in the given numbers for each variable

• Rewrite the expression in a simpler form

• Ignore the variables and focus on constants

When evaluating the expression with a=4, d=-2, and c=5, what is the first operation to perform?

• Parentheses

• Multiplication

• Subtraction

• Addition

What is the result of two times four minus five?

• One

• Seven

• Nine

• Three

What is the result of negative five times negative two?

• Zero

• Negative five

• Negative ten

• Ten

What is the final result of the complex expression when a=4, d=-2, and c=5?

• Ten

• Twenty

• Sixteen

• Four