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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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Active Filters: 7th grade (Ages 12-13)
Algebra - Grades 6-8
from Kumon Publishing
for 6th-8th grade
in Algebra (Location: MATR-ALG)
$10.50 (1 in stock)
Algebra 1 Flipper
from Christopher Lee Publications
for 7th-8th grade
in Math Flippers (Location: MATR-FLIP)
Algebra I Word Problems
by Anita Harnadek
from Critical Thinking Books
for 7th-12th grade
in Critical Thinking Math (Location: MAT-CTP)
$29.99 $18.00 (1 in stock)
Dr. Math Explains Algebra
by The Math Forum
from Jossey-Bass
for 7th-9th grade
in Algebra (Location: MATR-ALG)
Dr. Math Gets You Ready for Algebra
by The Math Forum
from Jossey-Bass
for 6th-8th grade
in Algebra (Location: MATR-ALG)
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)
Key to Algebra 1
by Julie King & Peter Rasmussen
from Key Curriculum Press
for 5th-10th grade
in Key-to Math (Location: MAT-KEY)
Key to Algebra 1-10 - Reproducible Tests
by Julie King & Peter Rasmussen
from Key Curriculum Press
for 5th-10th grade
in Algebra (Location: MATR-ALG)
Key to Algebra 1-4 - Answers and Notes
by Julie King & Peter Rasmussen
from Key Curriculum Press
for 5th-10th grade
in Key-to Math (Location: MAT-KEY)
Key to Algebra 10
by Julie King & Peter Rasmussen
from Key Curriculum Press
for 5th-10th grade
in Key-to Math (Location: MAT-KEY)
$2.50 (1 in stock)
Key to Algebra 2
by Julie King & Peter Rasmussen
from Key Curriculum Press
for 5th-10th grade
in Key-to Math (Location: MAT-KEY)
Key to Algebra 3
by Julie King & Peter Rasmussen
from Key Curriculum Press
for 5th-10th grade
in Key-to Math (Location: MAT-KEY)
Key to Algebra 4
by Julie King & Peter Rasmussen
from Key Curriculum Press
for 5th-10th grade
in Key-to Math (Location: MAT-KEY)
Key to Algebra 5
by Julie King & Peter Rasmussen
from Key Curriculum Press
for 5th-10th grade
in Key-to Math (Location: MAT-KEY)
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)
Key to Algebra 6
by Julie King & Peter Rasmussen
from Key Curriculum Press
for 5th-10th grade
in Key-to Math (Location: MAT-KEY)
Key to Algebra 7
by Julie King & Peter Rasmussen
from Key Curriculum Press
for 5th-10th grade
in Key-to Math (Location: MAT-KEY)
$2.50 (1 in stock)
Key to Algebra 8
by Julie King & Peter Rasmussen
from Key Curriculum Press
for 5th-10th grade
in Key-to Math (Location: MAT-KEY)
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)
Key to Algebra 9
by Julie King & Peter Rasmussen
from Key Curriculum Press
for 5th-10th grade
in Key-to Math (Location: MAT-KEY)
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)
$41.65 $30.00 (1 in stock)
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)
$33.15 $26.00 (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)
$33.15 $26.00 (3 in stock)
Mastering Algebra Skills
by Hal Torrance
from Mark Twain Media
for 6th-Adult
in Algebra (Location: MATR-ALG)
$4.00 (1 in stock)
Math-U-See Algebra & Decimal Insert Kit
from Math-U-See
for 6th-8th grade
in Math-U-See (Location: MAT-MUS)
$34.00 $21.00 (1 in stock)
Math-U-See Pre-Algebra - Complete Set
from Math-U-See
for 7th grade
in Math-U-See (Location: MAT-MUS)
$303.57
Math-U-See Pre-Algebra - Curriculum Set
from Math-U-See
for 7th grade
in Math-U-See (Location: MAT-MUS)
$191.07
Math-U-See Pre-Algebra - DVDs
from Math-U-See
for 7th grade
in Math-U-See (Location: MAT-MUS)
$52.00
Math-U-See Pre-Algebra - Instruction Manual (hardcover)
from Math-U-See
for 7th grade
in Math-U-See (Location: MAT-MUS)
Math-U-See Pre-Algebra - Instruction Manual (softcover)
from Math-U-See
for 7th grade
in Math-U-See (Location: MAT-MUS)
$42.30
Math-U-See Pre-Algebra - Instruction Pack
from Math-U-See
for 7th grade
in Math-U-See (Location: MAT-MUS)
Math-U-See Pre-Algebra - Simplified Set
from Math-U-See
for 7th grade
in Math-U-See (Location: MAT-MUS)
$106.20
Math-U-See Pre-Algebra - Student Pack
from Math-U-See
for 7th grade
in Math-U-See (Location: MAT-MUS)
$48.00
MP Pre-Algebra - Quizzes & Tests
from Memoria Press
for 7th-8th grade
in Algebra (Location: MATR-ALG)
$17.00
MP Pre-Algebra - Solutions Key
from Memoria Press
for 7th-8th grade
in Algebra (Location: MATR-ALG)
$25.50
MP Pre-Algebra - Student Text
by Thomas E. Clark and Thomas J. Sculthorpe
from Memoria Press
for 7th-8th grade
in Algebra (Location: MATR-ALG)
$29.75
MP Pre-Algebra - Teacher Manual
by Thomas E. Clark and Thomas J. Sculthorpe
from Memoria Press
for 7th-8th grade
in Algebra (Location: MATR-ALG)
$29.75
Pre-Algebra Book 1
Straight Forward Math Series
by S. Harold Collins
from Remedia Publications
for 7th-9th grade
in Algebra (Location: MATR-ALG)
Pre-Algebra Flipper
from Christopher Lee Publications
for 6th-7th grade
in Math Flippers (Location: MATR-FLIP)
Tables, Squares & Cubes
2nd edition from Classical Conversations
for 4th-12th grade
in Classical Conversations (Location: CUR-CC)
$7.50 $4.50 (2 in stock)
Teaching Textbooks Pre-Algebra - Textbook & Answer Key (old)
by Greg & Shawn Sabouri
from Teaching Textbooks
for 7th-9th grade
in Teaching Textbooks (Old Editions) (Location: OMAT-TT)
$25.00 (1 in stock)
Trivium Tables: Whiteboard
from Classical Conversations
for 6th-12th grade
in Classical Conversations (Location: CUR-CC)
$14.40
Understanding Algebra I
by Terri Husted
from Critical Thinking Books
for 7th-9th grade
in Mathematical Reasoning (Location: MAT-CTR)
$42.99
Understanding Pre-Algebra
by Terri Husted
1st edition from Critical Thinking Books
in Critical Thinking Math (Location: MAT-CTP)
$45.99
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