Algebra Definitions: Part 4

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See how many terms you know from the fourth part of our algebra definitions.

equilateral triangle:  A triangle with all sides of equal length.

equivalent equations:  Equations that have the same solution set over a given domain.

equivalent expressions:  Expressions that represent the same number for all values of the variable that they contain.

equivalent inequality:  An inequality that has the same solution set given inequality.

equivalent system:  A system of equations having the same solution set as another system.

evaluating a variable expression:  Replacing each variable in the expression by a given value and simplifying the result.

even integer:  An integer that is the product of 2 and any integer.

event:  Any possible subset of the sample space resulting from an experiment.

expanded notation:  A way of writing numbers that uses powers of 10 to express place values.

exponent:  In a power, the number that indicates how many times the base is used as a factor; in 6 5  , 5 is the exponent.

exponential form of a power:  The expression n4 is the exponential form of n x n x n x n.

extremes:  In the proportion a:b =c:d, a and d are the extremes.

factor:  When two or more numbers are multiplied, each of the numbers is a factor of the
product.

factor set:  The name given to the set over which a number is factored.

factored completely:  A polynomial is factored completely when it is expressed as the product of a monomial and one or more prime polynomials.

factoring:  Factoring a number over a given set is writing the number as a product of numbers in that set.

factors:  Numbers that are multiplied together to produce a product.

finite decimal:  See terminating decimal.

formula:  An equation that states a rule about a relationship.

fraction:  An expression in the form a/b, b cannot equal zero.

fractional equation:  An equation with a variable in the denominator of one or more terms.

fractional distribution:  A summary of data that displays the items according to frequency of occurrence.

function:  A correspondence between two sets, the domain and the range, that assigns to each member of the domain exactly one member of the range.

functional notation: A notation used in defining a function; for example, P(n) = 5n � 500.

graph of an equation in two variables:  All the points that are the graphs of the solutions of the equation.

graph of a function:  The graph of the equation that defines the function.

graph of an inequality:  The graph representing all the numbers in the solution set of the
sentence.

graph of a number:  The point on a number line that is paired with the number.

graph of an ordered pair:  The point in a coordinate plane associated with an ordered pair of real numbers.

graph of a relation: The graphs of all the ordered pairs that form the relation.

graphing method:  A method of solving a system of equations in two variables.

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