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Algebraic Expression

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algebraic expression
One or more characters or symbols associated with algebra; for example, A+B=C or A/B.
algebraic expression [¦al·jə¦brā·ik ik′spresh·ən]
(mathematics)
An expression which is obtained by performing a finite number of the following operations on symbols representing numbers: addition, subtraction, multiplication, division, raising to a power.

Algebraic Expression 

an expression consisting of letters and numbers joined by signs denoting the operations of addition, subtraction, division, raising to whole-number powers, and extraction of roots (exponents of powers and indices of radicals must be constants). An algebraic expression is said to be rational with respect to certain literal symbols included within it if such symbols do not appear under a radical sign: for example, Algebraic Expression is rational with respect to a, b, and c. An algebraic expression is said to be integral with respect to certain literal symbols if it does not contain any division by expressions containing those symbols: for example, 3a/c + bc2 − 3ac/4 is integral with respect to a and b. If some or all of the literal symbols are considered to be variables, the algebraic expression is an algebraic function.



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Each lesson centers on a key mathematical concept or application, with subjects including algebraic expressions and sequences, codes based on a simple fold, Benford's law, roots for divisibility tests and properties of numbers, the Farey sequences of order for fractions, interpretation of graphs, possibility tests and factors, estimation scales and units, symmetry, coordinates, averages and range, constructions, measurements, proofs, transformations, and sophisticated geometric forms.
Both common errors and misconceptions are highlighted as students learn how to translate verbal expressions to algebraic expressions while considering the reasonableness of solutions within the context of the situation.
At the highest level students can use different techniques to simplify algebraic expressions and algebraic fractions.
 
 
 
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