Understanding Monomials and Their Properties

Mrs. R explains monomials, which are mathematical expressions with only one term, no addition or subtraction signs, and no negative exponents. She provides examples to illustrate what qualifies as a monomial and what does not, emphasizing the absence of negative exponents and addition or subtraction signs. The tutorial concludes with a summary of key points and examples.

What is a monomial?

• A mathematical expression with multiple terms

• A mathematical expression with only one term

• A mathematical expression with addition and subtraction

• A mathematical expression with negative exponents

Which of the following is NOT a characteristic of a monomial?

• Is a mathematical expression

• Has no negative exponents

• Includes addition or subtraction

• Contains only one term

Is the expression 'a^2' a monomial?

• Yes, because it has no addition or subtraction

• No, because it includes addition

• No, because it has a negative exponent

• Yes, because it has multiple terms

Why is 'B + C' not considered a monomial?

• It is not a mathematical expression

• It includes an addition sign

• It has more than one term

• It contains a negative exponent

Is '6a^2b^4' a monomial?

• No, because it has multiple terms

• Yes, because it has no addition or subtraction

• No, because it has a negative exponent

• Yes, because it includes addition

What disqualifies '5x^3' from being a monomial?

• It includes subtraction

• It has a negative exponent

• It is not a mathematical expression

• It has more than one term

Is '-6x^2y^4' a monomial?

• No, because it is not a mathematical expression

• Yes, because it has multiple terms

• No, because it includes addition

• Yes, because it has no negative exponents

Why is '5x^3 - 4x' not a monomial?

• It includes subtraction

• It contains a negative exponent

• It is not a mathematical expression

• It has more than one term

Which of the following expressions is a monomial?

• x^2 + y^2

• 5x - 3

• 2x^2 - 4y

• 3a^3b^2

What is the key feature of a monomial?

• It must include subtraction

• It can have multiple terms

• It must include addition

• It cannot have negative exponents