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Algebra I
Algebra I
50
Mathematics
Not Applicable
11/17/2003

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Term
abscissa
Definition
The first coordinate is am ordered pair pf numbers associated with a point in a coordinate plane. Also called x-coordinate.
Term
absolute value
Definition
The positive number of any pair of opposite nonzero real numbers is the absolute value of each number. The absolute value of 0 is 0.
Term
additive inverses
Definition
A number and it's opposite.
Term
angle
Definition
A figure formed by two different rays that have the same end-point.
Term
area
Definition
The area of a region is the number of square units it contains.
Term
average
Definition
The average of a set of numbers is the sum of hte numbers divided by the number of numbers.
Term
binomial
Definition
A polynomial of only two terms.
Term
boundary
Definition
A line that separates the coordinate plane into three sets of points: the points on the line; the points below the line.
Term
collinear points
Definition
Points that lie on the same line.
Term
common factor
Definition
A factor of two or more integers is called a common factor of the integers.
Term
complex fraction
Definition
A fraction whose numerator or denominator contains one or more fractions.
Term
conjunction
Definition
A sentence formed by joining two open sentences by the word and.
Term
consecutive integers
Definition
Numbers obtained by counting by twos, beginning with any odd integer.
Term
converse
Definition
The converse of a statement in "if-then" form is obtained by interchanging the "if" and "then" parts of the statement.
Term
degree of a monomial
Definition
The sum of the degrees of the variables in the monomial.
Term
degree of a polynomial
Definition
The greatest of the degrees of its terms after it has been simplified.
Term
degree of a variable of a monomial
Definition
The number of times that the variable occurs as a factor in the monomial.
Term
factored completely
Definition
A polynomial is factored completely when it is expressed as the product of a monimial and one or more prime polynomial.
Term
perfect square trinomial
Definition
An expression with three terms that is the square of a binomial.
Term
standard form of a polynomial equation
Definition
A form of the equation in which one side is zero and the other is a simplified polynomial arranged in the order of decreasing degree of the variable.
Term
variable expression
Definition
An expression that contains a variable.
Term
whole numbers
Definition
The set consisting of zero and all the positive integers.
Term
zeros of a quadratic function
Definition
The members of the solution set of the related quadratic equation.
Term
simplipying an expression
Definition
Replacing an expression containing variables by an equivalent expression with as a few terms as possible.
Term
vertical angles
Definition
Two angles whose sides are rays in the same line, but in opposite directions.
Term
terminating decimal
Definition
When a common fraction is written as a decimal by dividing the numerator by the denominator, the result is a terminating decimal if the remainder is zero. Also called "ending decimal" or "finite decimal"
Term
solution set of an open sentence
Definition
The set of all solutions of the sentence.
Term
simplest form of an expression having a square-root radical
Definition
The form of the expression in which no intergral radicand has a square factor other than one; no fractions are under a radical sign; no radicals are in the denominator.
Term
simplest form of an algebraic fraction
Definition
A form of the fraction in which the numerator and denominator have no common factor other than 1 and -1.
Term
similar triangles
Definition
Two triangles are similar if the measures of two angles of one triangle equal the measures of two angles of the other. Angles with equal measures are called "corresponding angles". Sides opposite corresponding angles are called "corresponding sides".
Term
random experiment
Definition
An activity whose outcome can't be predicted when the activity is repeated under essentially the same conditions.
Term
hypotenuse
Definition
In a right triangle, the side opposite the right angle.
Term
isosceles triangle
Definition
A triangle having two sides of equal length. The third side is called the "base". The angles opposite the equal sides are the "base angles".
Term
irreducible polynomial
Definition
A polynomial that cannot be expressed as a product of polynomials of lower degree.
Term
nonterminating decimal
Definition
When a common fraction is written as a decimal by dividing the numerator by the denominator, the result is a nonterminating decimal if a digit or block of digits repeats endlessly as the remainder. Also called "unending?, "infinite", "repeating", or "periodic decimal".
Term
maximum point of a parabola
Definition
The highest poing; the point whose y-coordinate is the greatest value of the corresponding function.
Term
constant of variation
Definition
The nonzero constant k in a direct variation defined by y=kx or in an inverse variation defined by xy=k. Also called "constant of proportionality".
Term
constant (monomial)
Definition
A monomial consisting of a numeral only; a term with no variable factor.
Term
function
Definition
A correspondence between two sets, the "domain" and the "range", that assigns to each member of the domain "exactly one" member of the range.
Term
addition-or-subtraction method
Definition
A mehtod of solving a system of two equations; one variable is eliminated by adding or subtracting the equations.
Term
combined variation
Definition
If a variable varied directly as one variable and inversely as another, the resulting relationship is a combined variation (expressed by xy=kx, k a nonzero constant).
Term
exponent
Definition
in a power, the number that indicates how many times the base is used as a factor.
Term
median
Definition
In a frequency distribution, the middle number or the average of the two middle numbers when the data are arranged in order.
Term
joint variation
Definition
If a variable varies directly as the product of two or more other variables, the resulting relationship is a joint variation (expressed by z=kxy, k a nonzero constant).
Term
linear equation
Definition
A polynomial equation of degree one.
Term
linear equation in two variables
Definition
Any equation equivalent to one of the form az+by=c, where a, b, and c are real numbers with a and b not both zero. Its graph is a line.
Term
scientific notation
Definition
A positive number in a scientific notation is expressed as a product of an ubmer greater than or equal to one but less than ten, and an integral power of 10.
Term
Pythagorean theorem
Definition
In any right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs. (The converse is also true.)
Term
ratio
Definition
The ratio of one number to another is the quotient when the first number is divided by the second number (not zero).
Term
identity
Definition
An equation that is true for every value of the variable(s).
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