Understanding Like Terms in Algebra

In this video, Daniel Carrión introduces the concept of like terms in algebra. He begins by explaining basic algebraic terms, focusing on monomials and their components, such as coefficients, variables, and exponents. The video provides examples of monomials and explains how to identify like terms, which are monomials with the same variables raised to the same powers. Daniel offers several examples to illustrate the concept of like terms and concludes with exercises for viewers to practice. The video encourages interaction through comments and likes.

What is a monomial?

• An algebraic expression with multiple terms

• An algebraic expression with a single term

• A number without any variables

• A variable without any coefficients

Which of the following is a component of a monomial?

• Inequality

• Fraction

• Denominator

• Exponent

In the monomial 3x^2, what is the coefficient?

• 2

• x

• x^2

• 3

Which of the following is an example of a monomial?

• 2x + y

• 3x + 2

• 4x^3

• x - 5

What makes two terms 'like terms'?

• They have the same coefficient

• They have different exponents

• They have the same variable raised to the same power

• They have different variables

Which of the following pairs are like terms?

• 5x and 6y

• 3x^2 and 4x^2

• 7m and 7n

• 2a and 2b

Why are 9x^3 and 7x^2 not like terms?

• They are raised to different powers

• They are not monomials

• They have different variables

• They have different coefficients

Which of the following is NOT a pair of like terms?

• 8mn^2 and 5m^2n

• 3y^3 and 3y^3

• 7a^5 and 12a^5

• 4x^2 and 5x^2

What should you do if you find terms with different variables?

• Combine them as like terms

• Treat them as non-like terms

• Add their coefficients

• Ignore them

What is the next step after learning about like terms?

• Move on to quadratic equations

• Learn about fractions

• Study geometry

• Practice with exercises