Dictionary for Basic and Intermediate Algebra
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Distributive Law
Removing Parenthesis
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A true statement that shows two mathematical expressions are equal for all values where both expressions are defined. For example: 
for all values of a and b.

Improper fraction

A quotient of two quantities in which the numerator has a greater absolute value than the denominator, such as 9/5 or  wpe13.jpg (1562 bytes)where the numerator .is a polynomial of higher degree than the polynomial in the denominator.


The angle forming between a straight line (or its extension) and the positive direction of the x-axis, measured positive in the counter clockwise direction from the x-axis and negative in the clockwise direction from the x-axis.


The remainder is not zero when a division is performed.


A proposition stating that one expression is than the other. 
Linear Inequalities  
       Non linear inequalities


are just two symbols, they are not real numbers.


Any of the positive and negative whole numbers wpe14.jpg (1216 bytes)


In Cartesian coordinates plane, it is the (directional) distance from the origin to the point at which the graph crosses either the x- or y-axis. For example, the x-intercept of the line x/2+y/3=1 is 2 and the y-intercept is 3.


1. A point or a set of points that are common to two or more geometic figures.
2. The set of elements that are common to two or more given sets
See sets for examples.

Inverse Function

Given a one-to-one function f , its inverse function g exists and  satisfies g(f(x))=x for all x in the domain of f and f(g(x))=x for all x in the domain of g.  In short we can say that g undo what f does and vice verse.
 Inverse Function

Irrational number

A real number that is not rational, i.e., can not be expressed as a quotient of two integers with non-zero denominator. For example,


A polynomial that can not be factored as the product of two polynomials with degrees greater than or equal to one.


Leaving alone a selected variable or letter to one side of a given equation.
Linear Equations


A triangle having two sides of equal length. The angles opposite these two equal length are equal.




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NVCC Alexandria Campus Math Dictionary