Evaluating Expressions with Substitution and Order of Operations

The video tutorial explains how to evaluate the expression 3b²r for b = -3 and r = -2. It involves substituting the given values into the expression, simplifying using the order of operations, and verifying the result with a calculator. The process includes handling exponents and multiplication, ensuring accuracy through step-by-step simplification, and confirming the final result of -54 using a graphing calculator.

What is the first step in evaluating the expression 3b²r when b = -3 and r = -2?

• Add the values of b and r

• Substitute the values of b and r into the expression

• Multiply b and r

• Divide b by r

When substituting values into an expression, why is it important to use parentheses?

• To simplify the expression

• To avoid using negative numbers

• To ensure the correct order of operations

• To make the expression look neat

What is the result of squaring -3?

• 6

• -6

• 9

• -9

After simplifying the exponents, what is the next step in evaluating the expression?

• Divide the numbers

• Subtract the numbers

• Add the numbers

• Multiply the numbers from left to right

What is the result of multiplying 27 by -2?

• 54

• -27

• 27

• -54

What is the final value of the expression 3b²r when b = -3 and r = -2?

• -54

• 54

• -27

• 27

How can you verify the result of an expression using a graphing calculator?

• By asking a friend

• By entering the expression and checking the output

• By solving the expression manually

• By comparing with a textbook

What does the calculator display when verifying the expression 3b²r for b = -3 and r = -2?

• 0

• -54

• 54

• 27