Understanding Monomials and Their Operations

What is a monomial?

• An expression with at least two variables

• A numerical expression with no variables

• An algebraic expression with one term

• An algebraic expression with multiple terms

Which of the following is an example of a monomial?

• x^2 + y^2

• 3x + 2y

• 4x - 5

• 7a^2

What is the basic rule for adding or subtracting monomials?

• They must have different variables

• They must have different exponents

• They must be like terms

• They must have the same coefficient

How do you determine if two monomials are like terms?

• They have different exponents

• They have different variables

• They have the same variable and exponent

• They have the same coefficient

What is the result of adding 4x and 3x?

• 1x

• 4x + 3x

• 12x

• 7x

What is the sum of 6a^2 and 2a^2?

• 6a^2 + 2a^2

• 12a^2

• 8a^2

• 8a

What is the result of subtracting 5y from 9y?

• 14y

• 4y

• 5y

• 9y - 5y

Why can't 5x and 2x² be combined?

• They have different exponents

• They are both constants

• They have different variables

• They have different coefficients

What is the correct way to arrange 5x and 2x²?

• 5x + 2x²

• 2x² + 5x

• 2x + 5x²

• 5x² + 2x

Which of the following is NOT a monomial?

• 3x

• 7a^2

• x^2 + y

• 10