Elementary algebra

thumb|right|300px|The first use of an equals sign, equivalent to 14x + 15 = 71 in modern notation. From The Whetstone of Witte by [[Robert Recorde of Wales (1557).]]

polynomial equation in a single variable where the highest exponent of the variable is 2

equation that does not involve powers or products of variables

thumb|upright|One of the most influential figures of computing science's founding generation, [[Edsger Dijkstra at the blackboard during a conference at ETH Zurich in 1994. In Dijkstra's own words, "A picture may be worth a thousand words, a formula is worth a thousand pictures."]]

function

mathematical relation comparing two different values

property of binary operations, for which changing the order of the operands does not change the result

property of binary operations allowing sequences of operations to be regrouped without changing their value

thumb|right|The polynomial x2 + cx + d, where a + b = c and ab = d, can be factorized into (x + a)(x + b).

basic concepts of algebra of the real and complex numbers

of a number x, 1 divided by x

property involving two mathematical operations

number which produces a given number when cubed

number that, when added to the original number, yields zero

a polynomial equation in a single variable where the highest exponent of the variable is 3.

formula that represents a mathematical object

equation that is satisfied for all values of the variables

binary relation R with the property that xRy and yRz implies xRz

relations between the coefficients and the roots of a polynomial

mathematical operation with only one operand

polynomial equation of degree four

method for solving quadratic equations

formula that provides the solution(s) to a quadratic equation

Decomposition or partial fraction expansion of a mathematical function

mathematical expression built up from integer constants, variables, and the algebraic operations

thumb|upright=2|Layers of Pascal's pyramid derived from [[coefficients in an upside-down ternary plot of the terms in the expansions of the powers of a trinomial ]] In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials.

In mathematics, an inequation is a statement that either an inequality (relations "greater than" and "less than", ) or a relation "not equal to" (≠) holds between two values. It is usually written in the form of a pair of expressions denoting the values in question, with a relational sign between the two sides, indicating the specific inequality relation. Some examples of inequations are:

function defined by a polynomial of degree four

technique in algebra in which the original variables are replaced with functions of other variables

an element which, when added to any element x in the set, yields x

removal of square roots from denominators

mathematical operation

sort of mathematical expression

term in an algebraic expression which does not contain any variables

circle in a coordinate plane associated with a quadratic equation

for square roots

mathematical property shared by many number systems, that a product cannot be zero unless one of its factors is zero

Types of solutions in mathematics

problem-solving technique

algorithm in mathematics

boolean algebra