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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: 8th grade (Ages 13-14)
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)
Algebra the Easy Way
by Douglas Downing
5th edition from Barron's
for 8th-12th grade
in Algebra (Location: MATR-ALG)
$16.99
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)
$74.00
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)
$67.00
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)
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)
$45.00 (1 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)
$68.79
Elementary Algebra - DVD
by Cassidy Cash
from Master Books
for 8th-10th grade
in Harold Jacobs Mathematics (Location: MAT-MB3)
$76.79
Elementary Algebra - Solutions Manual
by Harold Jacobs & Cassidy Cash
Sol from Master Books
for 8th-10th grade
in Harold Jacobs Mathematics (Location: MAT-MB3)
Elementary Algebra - Teacher Guide
by Harold Jacobs
2021 Printing from Master Books
for 8th-10th grade
Cathy Duffy's 100 Top Picks
in Harold Jacobs Mathematics (Location: MAT-MB3)
$31.99 $20.00 (1 in stock)
Elementary Algebra - Teacher Guide / Solutions Manual
by Harold Jacobs
Revised 2023 Printing from Master Books
for 8th-10th grade
Cathy Duffy's 100 Top Picks
in Harold Jacobs Mathematics (Location: MAT-MB3)
$34.39
Elementary Algebra - Test Masters
by Harold Jacobs
from W. H. Freeman and Company
for 8th-10th grade
Cathy Duffy's 100 Top Picks
in Algebra (Location: MATR-ALG)
$12.00 (1 in stock)
Harold Jacobs Elementary Algebra - Book Set
from Master Books
in Harold Jacobs Mathematics (Location: MAT-MB3)
$128.78
Harold Jacobs Elementary Algebra - DVD Package
from Master Books
for 8th-10th grade
in Harold Jacobs Mathematics (Location: MAT-MB3)
$218.41
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: 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)
$41.65 $25.00 (1 in stock)
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 Without Borders Algebra 1
by David S. Chandler
from Math Without Borders
in Math Without Borders (Location: MAT-MBB)
$129.00
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 Algebra 1 (LE) - Complete Set
Legacy Edition from Math-U-See
for 8th grade
in Math-U-See (Location: MAT-MUS)
$303.57
Math-U-See Algebra 1 (LE) - Curriculum Set
Legacy Edition from Math-U-See
for 8th grade
in Math-U-See (Location: MAT-MUS)
$191.07
Math-U-See Algebra 1 (LE) - DVDs
Legacy Edition from Math-U-See
for 8th grade
in Math-U-See (Location: MAT-MUS)
$52.00 $36.00 (2 in stock)
Math-U-See Algebra 1 (LE) - Instruction Manual (hardcover)
Legacy Edition from Math-U-See
for 8th grade
in Math-U-See (Location: MAT-MUS)
$20.00 (1 in stock)
Math-U-See Algebra 1 (LE) - Instruction Manual (softcover)
Legacy Edition from Math-U-See
for 8th grade
in Math-U-See (Location: MAT-MUS)
$42.30
Math-U-See Algebra 1 (LE) - Simplified Set
Legacy Edition from Math-U-See
for 8th grade
in Math-U-See (Location: MAT-MUS)
$106.20
Math-U-See Algebra 1 (LE) - Student Pack
Legacy Edition from Math-U-See
for 8th grade
in Math-U-See (Location: MAT-MUS)
$48.00 $34.00 (1 in stock)
Math-U-See Algebra 1 (PSM) - Digital Pack (old)
from Math-U-See
for 8th grade
in Math-U-See (Location: MAT-MUS)
$175.00
Math-U-See Algebra 1 (PSM) - Instructor Handbooks
from Math-U-See
for 8th grade
in Math-U-See (Location: MAT-MUS)
$150.00
Math-U-See Algebra 1 (PSM) - Simplified Set
from Math-U-See
for 8th grade
in Math-U-See (Location: MAT-MUS)
$256.50
Math-U-See Algebra 1 (PSM) - Student Pack
from Math-U-See
for 8th grade
in Math-U-See (Location: MAT-MUS)
$110.00
Math-U-See Algebra 1 (PSM) - Universal Set with Instructor Handbooks
from Math-U-See
for 8th grade
in Math-U-See (Location: MAT-MUS)
$297.00
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 - BJU Subject Kit
3rd edition from Bob Jones University Press
for 8th grade
in BJU Subject Kits (Location: WH-BJUK)
Pre-Algebra - BJU Subject Kit (old)
2nd edition from Bob Jones University Press
for 8th grade
in BJU Math (Old Versions only) (Location: OBJU-MAT)
$149.00
Pre-Algebra Book 1
Straight Forward Math Series
by S. Harold Collins
from Remedia Publications
for 7th-9th grade
in Algebra (Location: MATR-ALG)
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 Algebra 1 - Textbook & Answer Key (old)
by Greg & Shawn Sabouri
from Teaching Textbooks
for 8th-9th grade
in Teaching Textbooks (Old Editions) (Location: OMAT-TT)
$25.00 (1 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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