About this Study Set
This study set covers Algebra through
18 practice questions.
A quiz testing knowledge of specific dates, names, and numbers related to the history and development of algebra. Every question includes the correct answer so you can learn as you go — pick any format above to get started.
Questions & Answers
Browse all 18 questions from the
Algebraic Milestones and Figures study set below.
Each question shows the correct answer — select a study format above to practice interactively.
1
Which mathematician is credited with the first systematic treatment of algebra in his book 'Kitāb al-Jabr wa al-Muqābala', published around the year 820 CE?
-
A
Euclid
-
B
Pythagoras
-
C
Muhammad ibn Musa al-Khwarizmi
-
D
Diophantus
2
In what year did René Descartes publish 'La Géométrie', introducing coordinate geometry and algebraic notation that is still widely used today?
-
A
1537
-
B
1637
-
C
1737
-
D
1837
3
The concept of the imaginary unit 'i' (where i² = -1) was significantly explored by Leonhard Euler in which century?
-
A
16th century
-
B
17th century
-
C
18th century
-
D
19th century
4
Who is often referred to as the 'father of algebra' for his groundbreaking work on solving cubic and quartic equations in the 16th century?
-
A
Galileo Galilei
-
B
Fermat
-
C
Cardano
-
D
Newton
5
The development of abstract algebra owes much to the work of Évariste Galois. In what year was he tragically killed in a duel?
-
A
1828
-
B
1832
-
C
1836
-
D
1840
6
Sir Isaac Newton's 'Principia Mathematica', which utilized algebraic methods extensively, was first published in which year?
-
A
1667
-
B
1687
-
C
1707
-
D
1727
7
The term 'algebra' itself is derived from the Arabic word 'al-jabr' in the title of which influential book?
-
A
Almagest
-
B
Kitāb al-Jabr wa al-Muqābala
-
C
Elements
-
D
The Republic
8
Which ancient Greek mathematician, in his work 'Arithmetica', introduced symbolic methods for solving algebraic problems, predating al-Khwarizmi by centuries?
-
A
Archimedes
-
B
Apollonius
-
C
Diophantus
-
D
Ptolemy
9
Augustin-Louis Cauchy, a key figure in the development of abstract algebra and analysis, was born in what year?
-
A
1775
-
B
1789
-
C
1795
-
D
1801
10
The concept of a matrix, fundamental to linear algebra, was independently developed by Arthur Cayley and James Joseph Sylvester in the mid-19th century. Approximately when did Cayley publish his seminal paper on matrices?
-
A
1840
-
B
1857
-
C
1872
-
D
1885
11
What was the approximate year that Emmy Noether published her groundbreaking paper 'Non-commutative Algebras' which revolutionized abstract algebra?
-
A
1920
-
B
1927
-
C
1933
-
D
1940
12
The notation for variables like 'x' and 'y' as commonly used in algebra was popularized by which French mathematician in the 17th century?
-
A
Pierre de Fermat
-
B
Blaise Pascal
-
C
René Descartes
-
D
Gilles de Roberval
13
The formalization of group theory, a major branch of abstract algebra, is largely attributed to the work of Niels Henrik Abel and Évariste Galois. Abel died at the young age of 26 in what year?
-
A
1802
-
B
1815
-
C
1829
-
D
1835
14
What number is the degree of the polynomial equation x⁵ + 3x² - 7 = 0?
15
The concept of Boolean algebra, crucial for computer science, was developed by George Boole in the mid-19th century. In what year was his influential book 'An Investigation of the Laws of Thought' published?
-
A
1847
-
B
1854
-
C
1860
-
D
1867
16
The development of the symbolic notation '+' for addition and '-' for subtraction is often attributed to the work of which German mathematician around the late 15th century?
-
A
Johannes Gutenberg
-
B
Adam Riese
-
C
Michael Stifel
-
D
Regiomontanus
17
Who introduced the concept of the discriminant for quadratic equations and made significant contributions to the theory of equations in the 17th century?
-
A
Gottfried Wilhelm Leibniz
-
B
Christiaan Huygens
-
C
Gabriel Cramer
-
D
Colin Maclaurin
18
In what year did John Venn publish his work on Venn diagrams, a graphical representation of logical relationships often used in set theory and algebra?
-
A
1860
-
B
1870
-
C
1880
-
D
1890
