algebra key words and definitions

An equation is an equality connecting some unknowns. The unknowns are represented by "letters" and are called "the variables". If the equation has only one unknown, it is called "an equal in one variable". The word "Linear" means "of degree one". Hence if only a single variable with deg..

Linear Equations in One Variable - An equation is an equality connecting some unknowns. The unknowns are represented by "letters" and are called "the variables". If the equation has only one unknown, it is called "an equal in one variable". The word "Linear" means "of degree one". Hence i..

A root of the equation f(x) = 0 is that value or values of x which make f(x) = 0. In other words, x = a or x = b are said to be the root of f(x) = 0, if f( a ) = 0, and f( b ) = 0 i.e., in f(x) = 0, replace x either by a or by b ..

Notation: Usually a polynomial is denoted by P(x) and if k is any number then P(k) denotes the value of P(x) at x=k. The degree of a polynomial: If a o ? 0, then the polynomial P(x) or f(x) is of degree 'n' i.e., it is the highest power of the variable x in the rational and integ..

An algebraic identity is a statement of equality between two algebraic expressions, but it is satisfied for all values of the variabl..

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An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables..

A Linear equation is a first degree algebraic expression with one,two or more variables equated to a constant. Graphically a linear equation with one or two variables is a straight line whereas one with three variable represents a plane. A simple linear equation is a statement of equ..

Simultaneous Equations - A linear equations in two variables x and y is of the form ax + by + c = 0 ( ) where a, b, c are real numbers. To find a solution for this equation, we can assign any value for one of the variables and find the value of the other variable such that the two sides of the equa..

Our investigation reveals that there is a definite relationship between the roots of a quadratic equation and the coefficient of the second term and the constant term. The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term divi..