algebraic definition
Learn the definition of algebra. This branch of mathematics substitutes letters for numbers. A good way to think of an algebraic equation is a scale. Algebra Tiles – a set of manipulatives that are designed for modeling algebraic expressions visually. Each tile is a geometric model of a term. The set includes representations for positive/negative 1, x, and x2. The manipulatives can be used to model addition, subtraction, multiplication, division, and factoring of polynomials. Definition: A branch of mathematics that substitutes letters for numbers. An algebraic equation represents a scale, what is done on one side of the scale with a number is also done to the other side of the scale. The numbers are the constants. Examples: Algebra is an abstract concept in mathematics. For a complete overview of what Algebra is, please see the full article about Algebra. 1  Article. 2  Article. 3  Article. 4  Article. 5  Article. 6  Article. 7  Article. 8  List. http://www.free-definition.com/Space-filling-curve.html http://dictionary.reference.com/search?r=2&q=continuous Cramer’s Rules – a rule using determinants to express the solution of a system of linear algebraic equations for which the number of equations is equal to the number of variables. Algebraic Expression – a number, variable, or combination of the two connected by some mathematical operation like addition, subtraction, multiplication, division, exponents and/or roots. difference of two consecutive terms is the same. termaadnn+1 =+oraa n dn =+−1 (1) is called an arithmetic sequence. equal to 1 and common difference(difference between any two consecutive terms) equal to 2. o For more Info:  Arithmetic Series – the indicated sum of the terms of an arithmetic sequence. Algebraic expression: 3x 2 + 2y + 7xy + 5. In an algebraic expression, terms are the elements separated by the plus or minus signs. This example has four terms, 3x 2, 2y, 7xy, and 5. Terms may consist of variables and coefficients, or constants. Variables In algebraic expressions, letters represent variables. Algebra Lab Gear – a set of manipulatives that are designed to represent polynomial. expressions. The set includes representations for positive/negative 1, 5, 25, x, 5x, y, 5y, xy, x2, y2, x3, y3, x2y, xy2. The manipulatives can be used to model addition, subtraction, multiplication, division, and factoring of polynomials. The numbers are the constants. Algebra can include real numbers, complex numbers, matrices, vectors etc. Moving from Arithmetic to Algebra will look something like this: Arithmetic: 3 + 4 = 3 + 4 in Algebra it would look like: x + y = y + x Algebra Vocabulary List (Definitions for Middle School Teachers) A Absolute Value Function – The absolute value of a real number x, x is 0 0 xifx x xifx ⎧ ≥ =⎨ ⎩−< http://www.math.tamu.edu/~stecher/171/F02/absoluteValueFunction.pdf Algebra Lab Gear – a set of manipulatives that are designed to represent polynomial expressions.
An algebraic expression is a number, variable, or combination of the two connected by some mathematical operation like addition, subtraction, multiplication, division, exponents and roots.