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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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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)
$22.00 (1 in stock)
Algebra 1 Flipper
from Christopher Lee Publications
for 7th-8th grade
in Math Flippers (Location: MATR-FLIP)
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)
$53.75
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
Algebra To Go
from Great Source
for 8th-10th grade
in Algebra (Location: MATR-ALG)
$32.35 $12.50 (1 in stock)
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
Art of Problem Solving Introduction to Algebra - Textbook & Solutions Manual
by Richard Rusczyk
2nd edition from Art of Problem Solving
for 8th-10th grade
in Art of Problem Solving (Location: MAT-AoPS)
$63.00
BJU Algebra 1 - Home School Kit
3rd edition from Bob Jones University Press
for 9th grade
in BJU Math (Location: MAT-BJU)
$163.13
BJU Algebra 2 - Home School Kit
3rd edition from Bob Jones University Press
for 9th grade
in BJU Math (Location: MAT-BJU)
$151.64
BJU Pre-Algebra - Home School Kit
2nd edition from Bob Jones University Press
for 8th grade
in BJU Math (Location: MAT-BJU)
$216.81
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
Elementary Algebra
by Harold Jacobs
from W. H. Freeman and Company
for 8th-10th grade
Cathy Duffy's 100 Top Picks
in Harold Jacobs Mathematics (Location: MAT-MB3)
$65.00 (4 in stock)
Elementary Algebra
by Harold Jacobs
Rev ed. from Master Books
for 8th-10th grade
Cathy Duffy's 100 Top Picks
in Harold Jacobs Mathematics (Location: MAT-MB3)
$99.99 $70.00 (1 in stock)
Elementary Algebra - DVD
by Cassidy Cash
from AskDrCallahan
for 8th-10th grade
in Harold Jacobs Mathematics (Location: MAT-MB3)
$48.00 (2 in stock)
Elementary Algebra - DVD
by Cassidy Cash
from Master Books
for 8th-10th grade
in Harold Jacobs Mathematics (Location: MAT-MB3)
$95.99
Elementary Algebra - Solutions Manual
by Harold Jacobs & Cassidy Cash
Sol from Master Books
for 8th-10th grade
in Harold Jacobs Mathematics (Location: MAT-MB3)
$34.99 $25.00 (1 in stock)
Elementary Algebra - Teacher Guide
by Harold Jacobs
from W. H. Freeman and Company
for 8th-10th grade
Cathy Duffy's 100 Top Picks
in Harold Jacobs Mathematics (Location: MAT-MB3)
$12.00 (1 in stock)
Elementary Algebra - Teacher Guide
by Harold Jacobs
Tch from Master Books
for 8th-10th grade
Cathy Duffy's 100 Top Picks
in Harold Jacobs Mathematics (Location: MAT-MB3)
$35.00
Foerster Algebra 1, Classics Edition
by Paul A. Foerster
from Pearson Education
for 10th-12th grade
in Algebra (Location: MATR-ALG)
Great Courses - Algebra I
Great Courses
by Prof. James A. Sellers
from The Teaching Company
for 9th-10th grade
in Algebra (Location: MATR-ALG)
$50.00 (1 in stock)
Harold Jacobs Elementary Algebra - Book Set
from Master Books
in Harold Jacobs Mathematics (Location: MAT-MB3)
$135.98
Harold Jacobs Elementary Algebra - DVD Package
from Master Books
for 8th-10th grade
in Harold Jacobs Mathematics (Location: MAT-MB3)
Key to Algebra 1-10 - Reproducible Tests
by Julie King & Peter Rasmussen
from Key Curriculum Press
for 5th-10th grade
in Key-to Math (Location: MAT-KEY)
$8.00 (1 in stock)
Key to Algebra 5-7 - Answers and Notes
by Julie King & Peter Rasmussen
from Key Curriculum Press
for 5th-10th grade
in Key-to Math (Location: MAT-KEY)
$4.00 (1 in stock)
Key to Algebra 8-10 - Answers and Notes
by Julie King & Peter Rasmussen
from Key Curriculum Press
for 5th-10th grade
in Key-to Math (Location: MAT-KEY)
$4.00 (2 in stock)
Life of Fred: Advanced Algebra
Life of Fred
by Stanley Schmidt
Expanded edition from Polka Dot Publishing
for 8th-10th grade
in Life of Fred Math (Location: MAT-FRED)
$39.00
Life of Fred: Beginning Algebra
Life of Fred
by Stanley Schmidt
Expanded edition from Polka Dot Publishing
for 7th-8th grade
in Life of Fred Math (Location: MAT-FRED)
$39.00
Life of Fred: Pre-Algebra 1 with Biology
by Stanley F. Schmidt
from Polka Dot Publishing
for 6th-9th grade
in Life of Fred Math (Location: MAT-FRED)
$29.00 $20.00 (2 in stock)
Life of Fred: Pre-Algebra 2 with Economics
by Stanley F. Schmidt
from Polka Dot Publishing
for 7th-10th grade
in Life of Fred Math (Location: MAT-FRED)
$29.00 $20.00 (2 in stock)
Math Without Borders Algebra 1
by David S. Chandler
from Math Without Borders
in Math Without Borders (Location: MAT-MBB)
$79.00
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
Math-U-See Algebra & Decimal Inserts
from Math-U-See
for 6th-8th grade
in Math-U-See (Location: MAT-MUS)
Math-U-See Algebra 1 Student Kit
from Math-U-See
for 8th grade
in Math-U-See (Location: MAT-MUS)
Math-U-See Algebra 1 Teacher Pack
from Math-U-See
for 8th grade
in Math-U-See (Location: MAT-MUS)
Math-U-See Algebra 2 Student Kit
2nd edition from Math-U-See
for 10th grade
in Math-U-See (Location: MAT-MUS)
Math-U-See Algebra 2 Teacher Pack
2nd edition from Math-U-See
for 10th grade
in Math-U-See (Location: MAT-MUS)
Math-U-See Pre-Algebra Student Kit
from Math-U-See
for 7th grade
in Math-U-See (Location: MAT-MUS)
Math-U-See Pre-Algebra Teacher Pack
from Math-U-See
for 7th grade
in Math-U-See (Location: MAT-MUS)
$47.50 (1 in stock)
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
Pre-Algebra Flipper
from Christopher Lee Publications
for 6th-7th grade
in Math Flippers (Location: MATR-FLIP)
Pre-Algebra Intro Kit Wrap-Up Keys
from Learning Wrap-Ups
for 3rd-6th grade
in Algebra (Location: MATR-ALG)
Saxon Advanced Mathematics - Textbook
by John Saxon
2nd edition from Saxon Publishers
for 11th-12th grade
in Saxon Math (Location: MAT-SAX)
$42.00 (3 in stock)
Saxon Algebra 1 - Home School Bundle with DIVE CD
by David Shormann & Saxon Math
3rd edition from Saxon Publishers
for 9th-10th grade
in Saxon Math (Location: MAT-SAX)
12
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