Algebra Basics

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Questions and Answers

What is the study of variables and the rules for manipulating these variables in formulas called?

  • Higher algebra
  • Abstract algebra
  • Elementary algebra (correct)
  • Linear algebra

Which algebraic structure is defined as a set with a binary operation that combines two members to produce a third, satisfying some basic properties as addition of integers?

  • Vector space
  • Group (correct)
  • Field
  • Ring

What is the branch of algebra that deals with linear equations and mappings, often used in modern presentations of geometry?

  • Geometric algebra
  • Linear algebra (correct)
  • Abstract algebra
  • Applied algebra

Which area of mathematics studies algebraic structures that generalize the operations familiar from ordinary arithmetic?

<p>Abstract algebra (A)</p> Signup and view all the answers

What is the origin of the word 'Algebra' according to its Arabic etymology?

<p>'Reunion of broken parts' (B)</p> Signup and view all the answers

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