Understanding Like Terms and Simplification

The video tutorial explains the concept of like terms, which are terms with identical variable factors, including the same letters and exponents. It demonstrates how to simplify expressions by combining like terms and arranging variables in alphabetical order. The tutorial provides examples of simplifying expressions with multiple variables and exponents, and it guides viewers through identifying and grouping like terms based on their variable factors.

What are like terms in algebraic expressions?

• Terms with the same coefficients

• Terms with the same variable factors and exponents

• Terms with different variables

• Terms with different exponents

How is the expression 7yx^2y^2 simplified?

• 7x^2y

• 7xy^2

• 7xy

• 7x^2y^2

What is the result of simplifying 2xy * 3xy?

• 6x^2y^2

• 5x^2y^2

• 5xy

• 6xy

How many factors of x are in the expression 4x^2 * x * 3x^4?

• 5

• 6

• 7

• 8

What is the cube of 3x^2?

• 9x^3

• 27x^3

• 27x^6

• 9x^6

Which of the following is a like term to 12xy?

• 4y^3

• 6xy

• 12x^2

• 8x^2y^2

What is the simplified form of the square of 2xy?

• 4x^2y^2

• 2xy

• 2x^2y^2

• 4xy

Which expression is a like term to 8y^3?

• 8x^2y^2

• 4y^3

• 12y

• 6xy

What is the simplified form of negative four times the square of x cubed?

• 8x^3

• 16x^6

• 16x^3

• 8x^6

Which of the following terms is like 12y?

• 6xy

• 8y^3

• 20y

• 4x^2y^2