Algebra is defined as a branch of mathematics that uses symbols to describe abstract properties and relationships. In algebra, a symbol known as a variable is used to represent an unknown quantity. The mathematical expression or equation is manipulated to figure out the unknown value. The core principle of algebra is balance.
The five branches of Algebra include elementary algebra, advanced algebra, abstract algebra, communicative algebra, and linear algebra. Each branch is connected and overlaps like all branches of mathematics. Algebraic concepts can be traced back to ancient Babylonia. The name Algebra was derived later from al-jabr, which means a reunion of broken parts or completion. The name comes from the published work of a mathematician named Muhammad ibn Musa al-Khwarizmi.
Algebra is a central topic in mathematics beyond arithmetic. A strong understanding of algebra concepts creates entry points to advanced mathematics. Many fundamental concepts in algebra are necessary for geometry, trigonometry, and calculus.
Learning to read, write, and model with algebra is essential to understanding math concepts deeply. Algebra learning is a core part of comprehensive math education. Pre-algebra concepts are typically part of an upper elementary and middle school curriculum. Students develop a foundational understanding of operations with rational numbers, ratios, expressions, and graphing. Most schools in the United States offer Algebra 1 to students beginning in ninth grade, followed by geometry or Algebra 2. Algebra 1 is also offered as an advanced course for eighth-grade students in some schools. Algebra 1 includes a study of functions and writing, solving, and modeling equations.
Learn about algebraic theorems and see how they work. Explore algebra theory and study different types, such as algebraic number theory and algebraic model theory.
Learn about algebraic properties and understand how they are used. Explore the importance of basic algebra rules and study the types of properties of equations.
Learn about elementary algebra and understand the concepts and topics of basic algebra. Study some examples of elementary algebra formulas and problems.
Learn what linear algebra is. Study an introduction to linear algebra, discover examples of vectors and matrices, and identify the applications of linear algebra.
Learn what an identity is in algebra and identify common algebraic identities. See examples of algebraic identities and use math identities to solve problems.
Learn to define algebraic expressions. Discover the operations of algebraic expressions. Learn what an algebraic equation is. See examples of algebraic expressions.
Learn how to define a polynomial and understand the polynomial functions. Explore the different types of polynomials and study some polynomial examples.
Study.com offers thousands of resources for learning and reviewing algebra at all levels. Clear, logical examples and diagrams help students master algebra skills and concepts. A variety of materials are available for students ranging from visual models to hands-on activities to one-on-one guidance.
Our collection of algebra courses includes essential concepts in pre-algebra, high school algebra, including Algebra 1 and Algebra 2, linear algebra, and boolean algebra. Comprehensive lessons, activities, and supporting videos help students develop computational, reasoning, and problem-solving skills. Study.com's algebra courses save curriculum planning time for teachers and homeschool instructors with a library of standards-aligned questions and activities.
This self-paced course is equivalent to three semester hours. The course explores basic algebra concepts through linear algebra. Topics include linear, quadratic, exponential, and logarithmic functions in addition to sequences and probability mechanics.
This high school algebra course aligns with the Common Core standards and includes topics such as factoring, properties of polynomial functions, linear, exponential, and quadratic functions, and matrices. Learners are supported with over 160 self-paced lessons.
This high school algebra 2 course includes over 190 self-paced lessons. Learners can access in-depth lessons on real, complex, and imaginary numbers, polynomials, trigonometry, statistics, and conic sections, along with a review of linear and quadratic functions.
This beginners course includes six self-paced lessons on fundamental math topics such as computing with fractions and percentages. Concepts are presented in engaging, kid-friendly language, and practice questions help students apply what they've learned.
Study.com offers videos, quizzes, tests, and supplemental teaching tools for pre-algebra, Algebra I, and Algebra II. Algebra teachers can access over 170 standards-aligned lesson plans and activities. Study.com's integration with several popular learning management systems provides a simple and streamlined way to assign class work.
Our resources allow for self-paced support for students who need reteaching, review, or challenge. Resources include materials lists, step-by-step tutorials, video transcripts, and guiding questions.
Our Algebra Skills and Practice section provides thousands of algebra practice problems. Algebra Skills and Practice is designed to support students in developing algebraic reasoning and problem-solving skills. Resources include step-by-step tutorial videos and practice questions to aid students in reviewing and mastering math concepts. Teachers and students can access the entire library of Study.com's math resources to review concepts from previous grades and preview more advanced concepts for later grades.
In alignment with math standards, the Algebra Skills and Practice section provides in-depth learning on seeing structure in expressions, interpreting data, and analyzing functions. As with all mathematics, students must use reasoning and analytical skills to find solutions. Students apply the standards of mathematical practice in their problem-solving. Real-world situations create a context for students while learning and applying math skills. Models, graphs, and charts are included where applicable to support student learning.
Learners can review vocabulary, view video and text explanations, and complete practice problems at their own pace. Students can receive extra support for any algebra skill. For practice tests, students receive immediate feedback and can track their progress toward their goals. Students are required to review step-by-step clarification on incorrect questions. For assessments, students receive clarification of solutions once the testing window has closed.
Study.com's Algebra Skills and Practice section is structured to save educators time. View sample questions and instructional resources for each standard. Sort the collection by topic or Texas, New York, or Florida math standards. Teachers can select specific questions or assign general questions for a topic. Algebra Skills and Practice resources can be printed or assigned digitally on Study.com. With a few quick clicks, teachers can post assignments seamlessly on Google Classroom, Canvas, or Schoology. Use the teacher dashboard to track student progress, including whether students have started or completed an assignment. Use the student data from the dashboard to decide which students need additional support, which students are ready to dive deeper into a concept, and what topics need to be revisited. Use these resources for daily instruction, to prepare students for tests, assign extra support materials, or assign assessments.
Study.com's library of Algebra I and Algebra II lessons, assessments, and project ideas are accompanied by resources and parental guidance. Homeschool students have access to a complete high school math curriculum. Our library of homeschool resources offers video lessons, activities, and math strategies to support learners.
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The basics of algebra include expressions and equations. Expressions can be evaluated by replacing a variable, or unknown, with a value. An equation can be solved by determining what value can be substituted for the variable in an equation to create balance.
There are four basic rules of Algebra:
Simply put, algebra is a branch of mathematics where symbols represent unknown amounts, and mathematical sentences are required to be balanced.
Short 5-minute lessons make it easier to pay attention and remember what you learned
Animated videos bring concepts to life with examples and a touch of humor
Expert teachers help you focus on what's most important so you are confident and prepared
