Flashcards: Elementary algebra

In mathematics, an inequality is a relation that holds between two values when they are different (see also: equality).

Elementary algebra encompasses some of the basic concepts of algebra, one of the main branches of mathematics.

In mathematics, division by zero is division where the divisor (denominator) is zero.

In algebra, a cubic function is a function of the form where a is nonzero.

Linearity is the property of a mathematical relationship or function which means that it can be graphically represented as a straight line, that is, that one quantity is simply proportional to another.

In abstract algebra and formal logic, the distributive property of binary operations generalizes the distributive law from elementary algebra.

In calculus and related areas of mathematics, a linear function from the real numbers to the real numbers is a function whose graph (in Cartesian coordinates with uniform scales) is a line in the plane.

In algebra, an algebraic fraction is a fraction whose numerator and denominator are algebraic expressions.

Exponentiation is a mathematical operation, written as bn, involving two numbers, the base b and the exponent n.

In algebra, the partial fraction decomposition or partial fraction expansion of a rational function (that is a fraction such that the numerator and the denominator are both polynomials) is the operation that consists in expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.

In mathematics, an nth root of a number x, where n is usually assumed to be a positive integer, is a number r which, when raised to the power n yields x where n is the degree of the root.

In mathematics an identity is an equality relation A = B, such that A and B contain some variables and A and B produce the same value as each other regardless of what values (usually numbers) are substituted for the variables.