Introduction to Groups and Sets in Algebra


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question 1 of 3

What are the 4 rules of a Group?

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1. Is the Set {1} a Group over Multiplication?

2. What is a Set?

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About This Quiz & Worksheet

The relationship between Groups and Sets can be a little confusing at first, but you'll know if you understand the topic after taking this quiz. You'll have to recall various facts about algebraic Sets and Groups.

Quiz & Worksheet Goals

This algebraic quiz tests your ability to:

  • Remember the four rules of a Group
  • Determine if a given Set is a Group over Multiplication
  • Define Set
  • Define Group
  • Understand the Identity of an operation

Skills Practiced

  • Reading comprehension - draw the most important information from the accompanying algebra II lesson
  • Critical thinking - use this information to consider if a given Set is a Group over Multiplication
  • Defining key concepts - accurately define Set and Group

Additional Learning

Still want to know more? We recommend the lesson called Introduction to Groups and Sets in Algebra, as it covers the following objectives:

  • Explain Set Notation
  • Explore the operations used in Groups
  • List the rules of algebraic Groups
  • Provide examples of Sets and the steps to figure out if they are also Groups