Identifying Like and Unlike Terms

The video tutorial explains the concept of variable powers in mathematical terms, focusing on how the power of variables affects the classification of terms as like or unlike. It provides examples to illustrate the difference between like terms, which have the same variables with the same powers, and unlike terms, which have different variables or the same variables with different powers. The tutorial emphasizes understanding these concepts through examples, helping learners distinguish between like and unlike terms effectively.

What is the power of X in the term 7xy?

• 3

• 2

• 1

• 0

In the term 17x^3y^2, what is the power of Y?

• 3

• 4

• 2

• 1

Which of the following is true for like terms?

• They have different constants.

• They have different variables.

• They have the same variables with different powers.

• They have the same variables with the same powers.

What makes two terms unlike?

• Same constants

• Different variables or same variables with different powers

• Same variables with same powers

• Different constants

Are the terms 7xy and 15xy like or unlike?

• Like, because they have the same variables and powers

• Unlike, because they have different constants

• Unlike, because they have different powers

• Like, because they have different variables

What is the power of X in the term 3x^2y?

• 4

• 1

• 2

• 3

What is the key factor in determining if terms are like?

• The number of terms

• The coefficients

• The variables and their powers

• The constants

Which of the following terms is like 6xy?

• 6xyz

• 6xy

• 6xy^2

• 6x^2y

In the terms 3x^2y and 3xy^3, why are they unlike?

• They have the same powers

• They have the same variables but different powers

• They have different variables

• They have different constants

Why are the terms 8xyz and 8xy considered unlike?

• They have the same powers

• They have different variables

• They have the same variables

• They have different constants