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Elementary algebra, also known as college algebra, [1] encompasses the basic concepts of algebra. It is often contrasted with arithmetic: arithmetic deals with specified numbers, [2] whilst algebra introduces variables (quantities without fixed values).
Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of statements within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations such as addition and multiplication.
Pre-algebra. A visual proof of the Pythagorean theorem. Pre-algebra is a common name for a course in middle school mathematics in the United States, usually taught in the 7th grade or 8th grade. [1] The objective of it is to prepare students for the study of algebra. Usually, Algebra I is taught in the 8th or 9th grade.
Algebra is one of the main branches of mathematics, covering the study of structure, relation and quantity. Algebra studies the effects of adding and multiplying numbers, variables, and polynomials, along with their factorization and determining their roots. In addition to working directly with numbers, algebra also covers symbols, variables ...
Algebraic expression. In mathematics, an algebraic expression is an expression built up from constants (usually, rational or algebraic numbers) variables, and the basic algebraic operations: addition (+), subtraction (-), multiplication (×), division (÷), whole number powers, and roots (fractional powers). [ 1 ][ 2 ][ 3 ][better source needed].
Formally, this is described in algebraic notation like this: (19 + 1) + (15 − 1) = x, but even a young student might use this technique without calling it algebra. The PSSM recommends that all students complete pre-algebra coursework by the end of eighth grade and take an algebra class during high school. [10]