Evaluating Algebraic Expressions and Operations

This video tutorial covers evaluating algebraic expressions by substituting variables and using the order of operations. It provides examples with a single variable, W, and multiple variables, demonstrating how to handle negative bases and exponents. The tutorial concludes with a practical example of calculating costs using algebraic expressions.

What is the first step in evaluating an algebraic expression?

• Add and subtract

• Multiply and divide

• Substitute the given values

• Simplify the exponents

When evaluating the expression W - 6 with W = 2, what is the result?

• 4

• -4

• 2

• 6

In the expression 5W - 3, what operation should be performed first?

• Multiplication

• Subtraction

• Division

• Addition

How do you simplify the expression (3W)^2 when W = 2?

• Square 2, then multiply by 3

• Square 3, then multiply by 2

• Multiply 3 by 2, then multiply by 2 again

• Multiply 3 by 2, then square the result

What is the simplified form of the fraction 4/10?

• 4/5

• 2/5

• 1/2

• 3/5

When simplifying 5W/4 with W = 2, what is the result?

• 5/4

• 2/5

• 10/4

• 5/2

What is the result of 3 raised to the power of W when W = 2?

• 12

• 6

• 3

• 9

In the expression AB + C, if A = -5, B = 7, and C = -3, what is the result?

• -35

• -38

• 35

• 38

What is the total cost for washing 17 windows if each costs $11.92 and there is a $7 reservation fee?

• $29.64

• $200.64

• $202.64

• $29.92

What is the difference between (-5)^2 and -5^2?

• (-5)^2 is -25, -5^2 is 25

• Both are equal to 25

• (-5)^2 is 25, -5^2 is -25

• Both are equal to -25