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

Did you find this review helpful?
7 Items found Print
Active Filters: Trade Paperback
Algebra Book 1
by Stephen B. Jahnke
from Garlic Press
for 7th-10th grade
in Algebra (Location: MATR-ALG)
$6.00 (1 in stock)
Algebra Book 2
by Stephen B. Jahnke
from Garlic Press
for 7th-10th grade
in Algebra (Location: MATR-ALG)
$6.00 (1 in stock)
Algebra the Easy Way
by Douglas Downing
5th edition from Barron's
for 8th-12th grade
in Algebra (Location: MATR-ALG)
$16.99
Cliffs Quick Review: Algebra I
by Jerry Bobrow
1st edition from Cliffs Notes
for 9th-11th grade
in Algebra (Location: MATR-ALG)
$3.00 (1 in stock)
Elementary Algebra - Solutions Manual
by Harold Jacobs & Cassidy Cash
Sol from Master Books
for 8th-10th grade
in Harold Jacobs Mathematics (Location: MAT-MB3)
$27.99
Humongous Book of Algebra Problems
by W. Michael Kelley
from Alpha Books
for 7th-10th grade
in Algebra (Location: MATR-ALG)
$15.00 (1 in stock)
Painless Algebra
by Lynette Long, Ph.D.
5th edition from Barron's
for 9th-11th grade
in Algebra (Location: MATR-ALG)
$12.99