Evaluating Expressions and Operations

The video tutorial demonstrates how to evaluate variable expressions by substituting given values for variables. Two examples are provided: the first involves substituting values into the expression 6m^3 + n^2, and the second involves 4s^2 - 3r^3. The process follows the order of operations, simplifying exponents first, then performing multiplication and addition or subtraction. The tutorial emphasizes the importance of correctly substituting values and following mathematical operations to arrive at the correct result.

What is the first step in evaluating the expression 6m^3 + n^2 when m = 3 and n = 5?

• Add the coefficients

• Substitute the values of m and n

• Simplify the expression

• Multiply the coefficients

After substituting m = 3 and n = 5 in the expression 6m^3 + n^2, what is the next step?

• Add the numbers

• Divide the numbers

• Multiply the numbers

• Simplify the exponents

What is the result of 6 times 27 plus 25?

• 162

• 152

• 175

• 187

In the expression 4s^2 - 3r^3, what is the value of 4s^2 when s = 4?

• 16

• 64

• 32

• 48

What is the final result of the expression 4s^2 - 3r^3 when s = 4 and r = 2?

• 48

• 64

• 24

• 40