Algebra

Together with geometry, analysis, and number theory, algebra is one of the several main branches of mathematics. Elementary algebra is usually part of the curriculum in early high school and provides an introduction to the basic ideas of algebra, including effects of adding and multiplying numbers, the concept of variable, definition of polynomials, along with factorization and determining their roots. However, algebra is much broader than this. In addition to working directly with numbers, algebra covers working with symbols, variables, and set elements. Addition and multiplication are viewed as general operations, and their precise definitions lead to structures such as groups, rings and fields.

Most students at the high school level are being exposed only to elementary algebra—its most basic form. It is taught to students who are presumed to have no knowledge of mathematics beyond the basic principles of arithmetic. In arithmetic, only numbers and their arithmetical operations (such as +, -, ×, ÷) occur; in algebra, numbers are often denoted by symbols (such as a, x, y). This is useful because:

  • It allows the general formulation of arithmetical laws (such as a + b = b + a for all a and b), and thus is the first step to a systematic exploration of the properties of the real number system.
  • It allows the reference to "unknown" numbers, the formulation of equations and the study of how to solve these (for instance, Find a number x such that 3x + 1 = 10").
  • It allows the formulation of functional relationships (such as "If you sell x tickets, then your profit will be 3x - 10 dollars, or f(x) = 3x - 10, where f is the function, and x is the number the function is performed on.").

Additional information:

For a much better overview and history of algebra, go to the

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Active Filters: 11th grade (Ages 16-17)
Algebra & Trigonometry: Functions & Applications - Set
by Paul A. Foerster
from Prentice Hall
for 10th-12th grade
in Algebra (Location: MATR-ALG)
$85.00 (3 in stock)
Algebra 1 - Student Textbook
3rd edition from A Beka Books
for 9th-11th grade
in A Beka Arithmetic & Mathematics (Location: MAT-ABK)
Algebra 2 - Student Text
from A Beka Books
for 9th-11th grade
in A Beka Arithmetic & Mathematics (Location: MAT-ABK)
$19.00 (3 in stock)
Algebra 2 - Student Textbook
3rd edition from Bob Jones University Press
for 11th grade
in BJU Math (Location: MAT-BJU)
$59.72
Algebra 2 Flipper
from Christopher Lee Publications
for 9th-Adult
in Math Flippers (Location: MATR-FLIP)
Algebra 2 with Trigonometry - DVD
from AskDrCallahan
for 10th-12th grade
in Trigonometry (Location: MATR-TRIG)
$145.00
Algebra Antics
by Evelyn B. Christensen & Susan E. Christensen
from Mindware
for 9th-12th grade
in Algebra (Location: MATR-ALG)
$5.00 (1 in stock)
Algebra I Word Problems
by Anita Harnadek
from Critical Thinking Books
for 7th-12th grade
in Critical Thinking Math (Location: MAT-CTP)
$29.99
Art of Problem Solving Intermediate Algebra - Text & Solutions
by Naoki Sato, Richard Rusczyk, Matthew Crawford
from Art of Problem Solving
for 8th-12th grade
in Art of Problem Solving (Location: MAT-AoPS)
$69.00
E-Z Algebra
by Douglas Downing
5th edition from Barron's Educational Series, Inc.
for 8th-12th grade
in Algebra (Location: MATR-ALG)
$16.99
Foerster Algebra 1, Classics Edition
by Paul A. Foerster
from Pearson Education
for 10th-12th grade
in Algebra (Location: MATR-ALG)
Math Without Borders Algebra 2
by David S. Chandler
from Math Without Borders
for 9th-11th grade
in Math Without Borders (Location: MAT-MBB)
Math Without Borders Calculus
by David S. Chandler
from Math Without Borders
for 11th-12th grade
in Math Without Borders (Location: MAT-MBB)
$79.00
Math Without Borders PreCalculus
by David S. Chandler
from Math Without Borders
for 11th-12th grade
in Math Without Borders (Location: MAT-MBB)
$79.00
Painless Algebra
by Lynette Long, Ph.D.
4th edition from Barron's Educational Series, Inc.
for 9th-11th grade
in Algebra (Location: MATR-ALG)
$9.99
Saxon Advanced Mathematics - Textbook
by John Saxon
2nd edition from Saxon Publishers
for 11th-12th grade
in Saxon Math (Location: MAT-SAX)
$38.00 (3 in stock)
Saxon Algebra 2 - Home School Bundle with DIVE CD
by David Shormann & Saxon Math
3rd edition from Saxon Publishers
for 10th-11th grade
in Saxon Math (Location: MAT-SAX)
Saxon Algebra 2 - Home School Bundle with Teacher CD
3rd edition from Saxon Publishers
for 10th-11th grade
in Saxon Math (Location: MAT-SAX)
Trivium Tables: Whiteboard
from Classical Conversations
for 6th-12th grade
in Classical Conversations (Location: HISCUR-CC)
$10.00
VideoText Algebra: Modules A-C
from VideoText
for 8th-10th grade
in VideoText Interactive Algebra (Location: MAT-VTIA)
$195.00 (1 in stock)