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Historical Foundations of Algebra

History Of Algebra

A challenging examination of the historical figures, dates, and quantitative milestones in the development of algebra.

Mathematics History Algebra
10 Questions Hard Ages 16+ Apr 9, 2026

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This study set covers History Of Algebra through 10 practice questions. A challenging examination of the historical figures, dates, and quantitative milestones in the development of algebra. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

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Browse all 10 questions from the Historical Foundations of Algebra study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 In which year was the treatise 'Al-Kitab al-mukhtasar fi hisab al-jabr wa'l-muqabala', which gave algebra its name, completed by Muhammad ibn Musa al-Khwarizmi?
  • A 780 AD
  • B 820 AD
  • C 850 AD
  • D 875 AD
2 The Italian mathematician Gerolamo Cardano published his seminal work on the solution to cubic and quartic equations, 'Ars Magna', in which year?
  • A 1535
  • B 1540
  • C 1545
  • D 1550
3 Who is the 17th-century French mathematician credited with introducing the modern algebraic notation of using letters from the beginning of the alphabet for knowns and the end for unknowns?
  • A Pierre de Fermat
  • B René Descartes
  • C Blaise Pascal
  • D Marin Mersenne
4 The 'Abel-Ruffini theorem', stating that there is no general algebraic solution for polynomial equations of degree five or higher, was first proposed by Paolo Ruffini in what year?
  • A 1799
  • B 1805
  • C 1812
  • D 1824
5 Which English mathematician, who lived from 1815 to 1864, is considered the founder of Boolean algebra, a fundamental component of modern computer architecture?
  • A Augustus De Morgan
  • B George Boole
  • C Charles Babbage
  • D Ada Lovelace
6 Diophantus of Alexandria, often referred to as the 'father of algebra', wrote 'Arithmetica', a work that focused on solving indeterminate algebraic equations, likely between which years?
  • A 50-100 AD
  • B 150-250 AD
  • C 300-350 AD
  • D 400-450 AD
7 Évariste Galois, whose work in group theory revolutionized algebraic understanding, died in a duel at the age of 20 in which year?
  • A 1828
  • B 1830
  • C 1832
  • D 1834
8 In his 1591 work 'In Artem Analyticen Isagoge', which French mathematician was the first to use vowels and consonants to represent variables and coefficients?
  • A François Viète
  • B Simon Stevin
  • C John Napier
  • D Johannes Kepler
9 The 'Fundamental Theorem of Algebra', which states that every non-constant single-variable polynomial with complex coefficients has at least one complex root, was first proved rigorously by whom in 1799?
  • A Leonhard Euler
  • B Carl Friedrich Gauss
  • C Joseph-Louis Lagrange
  • D Jean le Rond d'Alembert
10 The first known use of the equals sign (=), created by Robert Recorde to represent two parallel lines of identical length, appeared in his 1557 textbook titled what?
  • A The Ground of Arts
  • B The Whetstone of Witte
  • C The Pathway to Knowledge
  • D The Castle of Knowledge
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