Worksheet: Monomials

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

Q1:

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

  • A 𝑎 and 𝑏 are both negative integers.
  • B 𝑎 and 𝑏 are both nonnegative integers.

Q2:

Which of the following expressions are monomials?

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

Q3:

Which of the below correctly describes the expression 7𝑎𝑏?

  • Abinomial
  • Btrinomial
  • Cmonomial

Q4:

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

  • ANo
  • BYes

Q5:

Is the expression 𝑥 a monomial?

  • ANo
  • BYes

Q6:

Find the degree of the monomial 7.

Q7:

Is the expression 7𝑥𝑦 a monomial?

  • ANo
  • BYes

Q8:

Find the coefficient of the monomial 2𝑥𝑦𝑧.

  • A2
  • B12
  • C6
  • D14
  • E 2

Q9:

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

  • AYes
  • BNo

Q10:

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

  • A6
  • B 1 6
  • C 1 6
  • D5
  • E 6

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