Evaluating Expressions with Negative Values

The video tutorial explains how to evaluate mathematical expressions by substituting variables with specific values. It emphasizes the importance of using parentheses, especially when dealing with negative numbers, to avoid errors in calculations. The tutorial covers examples involving basic arithmetic, fractions, exponents, and square roots, demonstrating the correct order of operations and the role of parentheses in ensuring accurate results.

What is the first step in evaluating an expression with a variable?

• Add all numbers together

• Choose a value for the variable

• Multiply all terms

• Divide by the variable

What is the importance of evaluating expressions for specific variable values?

• To avoid using variables

• To make the expression longer

• To determine the exact numerical value

• To simplify the expression

Why is it important to use parentheses when substituting negative values?

• To make the expression look neat

• To ensure correct order of operations

• To avoid confusion with addition

• To make the expression longer

What mistake might occur if parentheses are not used with negative values?

• The expression might be evaluated as subtraction

• The expression might be evaluated as zero

• The expression might be evaluated as division

• The expression might be evaluated as addition

What is the result of 6 times negative 3 minus 3?

• -18

• -21

• -9

• 0

What is the result of 6r minus 3 when r is negative 3?

• -18

• -9

• 0

• -21

When evaluating a fraction, why is it important to cube the entire negative number?

• To make the fraction positive

• To ensure the correct sign of the result

• To simplify the fraction

• To avoid division by zero

What is the cube of negative 3?

• -9

• -27

• 27

• 9

What is the result of 5 minus a negative 27 divided by negative 2?

• -32

• -16

• 16

• 32

What is the result of 5 plus 27?

• 34

• 28

• 32

• 30