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Lesson Worksheet: Equal Sets Mathematics

In this worksheet, we will practice identifying equal sets and using their equality to find the value of unknown elements.


If two sets have the exact same elements, they are said to be .

  • Aequivalent
  • Bnot equal
  • Cequal
  • Dnot equivalent


Given that {𝑏,3,4}={𝑐,9,4}, find 𝑏 and 𝑐.

  • A𝑏=9, 𝑐=4
  • B𝑏=9, 𝑐=12
  • C𝑏=4, 𝑐=9
  • D𝑏=9, 𝑐=3
  • E𝑏=3, 𝑐=9


Given that {0,4,𝑎}={4,12,𝑏}={0,12,𝑐}, find 𝑎, 𝑏, and 𝑐.

  • A𝑎=12, 𝑏=4, 𝑐=0
  • B𝑎=4, 𝑏=0, 𝑐=12
  • C𝑎=0, 𝑏=12, 𝑐=4
  • D𝑎=12, 𝑏=0, 𝑐=4


If {4𝑏}{44}, what are the possible values of 𝑏?

  • A𝑏 can be any number except 0 and 11.
  • B𝑏 can be any number except 44.
  • C𝑏 can be any number except 4 and 44.
  • D𝑏 can be any number except 11.


Use = or to fill in the blank: {2,8,6}{28,6}.

  • A=
  • B


Use = or to fill in the blank: {1,2,19,38} the set of factors of the number 38.

  • A=
  • B


Two equal sets are equivalent. Are two equivalent sets equal?

  • ANo
  • BYes


If {3,5,1}={1,3,𝑥}, what is the value of 𝑥?


Find the value of 𝑥 if {4𝑥}={28}.


Use = or to fill in the blank: If 𝑥=0, then {𝑥,2,16}{2,16,1}.

  • A
  • B=

This lesson includes 15 additional questions and 207 additional question variations for subscribers.

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