Monomial Operations and Properties

Maria, a mathematician, explains how to solve monomial problems by adding and multiplying them. She emphasizes the importance of identifying like terms when adding monomials and using the multiplication law of exponents when multiplying them. The tutorial provides step-by-step solutions, ensuring learners understand the process of combining coefficients and managing exponents.

What is the first step in determining if two monomials can be added together?

• Check if they have the same variable and exponent.

• Check if they have the same coefficient.

• Check if they have different variables.

• Check if they have different exponents.

When adding 5x and 3x, what is the resulting coefficient?

• 15

• 8

• 3

• 5

What operation is performed on the coefficients when multiplying monomials?

• They are added.

• They are divided.

• They are subtracted.

• They are multiplied.

What happens to the exponents when multiplying monomials with the same base?

• They are subtracted.

• They remain the same.

• They are added.

• They are divided.

If you multiply 5x by 3x, what is the resulting exponent of x?

• 3

• 2

• 4

• 1

What is the result of multiplying 5x and 3x?

• 8x

• 15x

• 8x^2

• 15x^2

What should you ensure when adding monomials?

• They are like terms.

• They have the same coefficients.

• They have different variables.

• They have different exponents.