Understanding Monomials and Their Operations

This video provides a comprehensive overview of monomials, explaining their components such as coefficients and literal parts. It covers how to determine the degree of a monomial and the rules for adding, subtracting, multiplying, and dividing them. The video also delves into potentiation and radication of monomials, offering examples and exercises to reinforce learning.

What is a monomial?

• An algebraic expression with no variables

• An algebraic expression with multiple terms

• An algebraic expression with only one term

• An algebraic expression with only constants

Which of the following is considered a monomial?

• x^2 + 1

• 4/3y

• 2x - 3

• x + y

What is the coefficient in the monomial 7x?

• x

• 0

• 7

• 1

In the monomial -6m^2, what is the literal part?

• -6

• 2

• m^2

• m

How do you determine the degree of a monomial?

• By adding the coefficients

• By subtracting the exponents

• By multiplying the coefficients

• By adding the exponents of the literal part

What must be true for monomials to be added or subtracted?

• They must have the same literal part

• They must have the same sign

• They must have different exponents

• They must have the same coefficient

When multiplying monomials, what do you do with the exponents of the same base?

• Add them

• Multiply them

• Divide them

• Subtract them

What is the result of multiplying 2a^1 by 6a^5?

• 12a^6

• 8a^5

• 8a^6

• 12a^5

How do you divide monomials with the same base?

• Divide the exponents

• Add the exponents

• Subtract the exponents

• Multiply the exponents

What is the square root of 25x^2?

• 5x

• 25x

• 25x^2

• 5x^2