Worksheet: Monomials

In this worksheet, we will practice determining whether an expression is a monomial.


Given that the expression 𝑥𝑦 is a monomial, what must be true of the exponents 𝑎 and 𝑏?

  • A𝑎 and 𝑏 are both negative integers.
  • B𝑎 and 𝑏 are both nonnegative integers.


Which of the following expressions are monomials?

  1. 𝑥
  2. 𝑥𝑦
  3. 𝑥
  4. 1𝑦
  5. 1+𝑥
  • Aa and e
  • Bd and e
  • Cc and e
  • Dc and d
  • Ea and b


Which of the below correctly describes the expression 7𝑎𝑏?

  • Abinomial
  • Btrinomial
  • Cmonomial


Chloe says that a monomial is an expression that contains a single variable (e.g., 𝑥+𝑥). Is Chloe correct?

  • ANo
  • BYes


Is the expression 𝑥 a monomial?

  • ANo
  • BYes


Find the degree of the monomial 7.


Is the expression 7𝑥𝑦 a monomial?

  • ANo
  • BYes


Find the coefficient of the monomial 2𝑥𝑦𝑧.

  • A2
  • B12
  • C6
  • D14
  • E2


James claims that any number (e.g., 213 ) is a monomial. Is James correct?

  • AYes
  • BNo


Find the value of 𝑛 if the degree of the monomial (𝑥𝑦) is 6.

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