Understanding Like Terms and Operations

The video tutorial covers the addition and subtraction of monomials. It begins with defining monomials as algebraic expressions with one term and provides examples. The tutorial explains the concept of like and unlike terms, emphasizing that only like terms can be added or subtracted. It demonstrates the process of adding and subtracting monomials with like terms through various examples. The video concludes with practice problems to reinforce the concepts taught.

What is a monomial?

• An algebraic expression with three terms

• An algebraic expression with two terms

• An algebraic expression with no terms

• An algebraic expression with one term

Which of the following is a monomial?

• 5x + 3

• 3x^2y

• x + y

• 2a + 2b

What are like terms?

• Terms with the same coefficient

• Terms with the same variable and exponent

• Terms with different variables

• Terms with different exponents

Which of the following pairs are like terms?

• 5a and 5b

• 4xy and 4xy

• 2m and 2n

• 3x and 3x^2

How do you add 2x and 5x?

• By adding the coefficients

• By adding the variables

• By subtracting the coefficients

• By multiplying the coefficients

What is the result of adding 3x^2y and 5x^2y?

• 8x^2y

• 5x^2y

• 15x^2y

• 3x^2y

How do you subtract 4xy from 9xy?

• By multiplying the coefficients

• By adding the coefficients

• By subtracting the coefficients

• By subtracting the variables

What is the result of subtracting 3m from 3m?

• 6m

• 3m

• 1m

• 0

What happens when you try to add 7ab and 3ac?

• You cannot add them

• You get 7ab + 3ac

• You get 10abc

• You get 10ab

Which of the following operations cannot be performed?

• 3x + 4y

• 5b - 3b

• 4c + 4c

• 2a + 2a