Math Problem Statement

which of these are monomials? A. xy B. y+x C. x3

Solution

To determine if an expression is a monomial, we need to check that it consists of a single term with non-negative integer exponents and no addition or subtraction. Let's analyze each option:

  1. A. xyxy: This is a product of two variables, xx and yy. Since it’s a single term, it is a monomial.
  2. B. y+xy + x: This expression includes an addition operation, so it consists of two terms rather than one. Therefore, it is not a monomial.
  3. C. x3x^3: This is a single term where xx is raised to a positive integer exponent (3). Therefore, it is a monomial.

Answer: The monomials in this list are A (xy) and C (x³).

Would you like more details on monomials?

Related Questions

  1. What defines a polynomial, and how do monomials fit within polynomials?
  2. How would x2yx^2y be classified if it were an option?
  3. What’s the difference between monomials and binomials?
  4. How does the degree of a monomial get calculated?
  5. Are constants like 77 or 3-3 considered monomials?

Tip: Monomials are always single terms without addition or subtraction and can include products of variables with integer exponents.

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Math Problem Analysis

Mathematical Concepts

Algebra
Monomials
Polynomials

Formulas

Definition of a monomial as a single term with non-negative integer exponents and no addition or subtraction

Theorems

Basic properties of monomials

Suitable Grade Level

Grades 6-8