Exploring Algebraic Expressions and Like Terms

This video tutorial explains algebraic expressions, focusing on variables, constants, and coefficients. It covers how to identify terms, classify expressions, and combine like terms. The tutorial includes practical examples and exercises to reinforce understanding.

What is a variable in an algebraic expression?

• A known and well-defined value

• A symbol representing an unknown or non-constant value

• A mathematical operation

• A set of numbers

Which of the following is an example of a constant?

• X

• Y

• 3X

• 12

What does a coefficient represent in an algebraic expression?

• Multiplication

• Division

• Addition

• Subtraction

In the expression 3X, what is the coefficient?

• 3X

• X

• 3

• None

What is a term in an algebraic expression?

• A constant or variable combined using addition or subtraction

• A mathematical operation

• A set of numbers

• A known value

How many terms are in the expression X + 3Y + Z?

• 3

• 4

• 2

• 1

What are like terms?

• Terms with different variables

• Terms with different exponents

• Terms with the same variable and exponent

• Terms with the same coefficient

Which of the following are like terms?

• 2X and 2X^2

• 3X and 3Y

• 6Y and 6Z

• 4X and 5X

What is the first step in combining like terms?

• Multiplying the variables

• Adding the coefficients

• Organizing terms using a categorization symbol

• Subtracting the constants

In the expression 8X - 3X + 5 - 2, what is the simplified form?

• 8X + 5 - 2

• 8X - 3X + 3

• 5X + 3

• 5X - 2