index (order) In a radical of the form
nis called the index or order. (Section 8.1)
inequality An inequality is a statement that
two expressions are not equal. (Section 1.2)
inner product When using the FOIL
method to multiply two binomials
, the inner product is bc.
(Section 5.5)
integers The set of integers is
. (Section 1.4)
intersection The intersection of two sets
AandB, written , is the set of elements
that belong to both A and B. (Appendix)
interval An interval is a portion of a num-
ber line. (Section 2.8)
interval notation Interval notation is a sim-
plified notation that uses parentheses
and/or brackets and/or the infinity sym-
bol to describe an interval on a number line.
(Section 2.8)
inverse property The inverse property for
addition states that a number added to its
opposite (additive inverse) is 0. The inverse
property for multiplication states that a
number multiplied by its reciprocal (multi-
plicative inverse) is 1. (Section 1.7)
inverse variation yvaries inversely as xif
there exists a nonzero real number (constant)
ksuch that. (Section 7.8)
irrational number An irrational number
cannot be written as the quotient of two inte-
gers, but can be represented by a point on a
number line. (Section 1.4)
least common denominator (LCD) Given
several denominators, the least multiple
that is divisible by all the denominators is
called the least common denominator. (Sec-
tions 1.1, 7.3)
legs of a right triangle The two shorter
perpendicular sides of a right triangle are
called the legs. (Section 6.6)
like radicals Like radicals are multiples of
the same root of the same number or expres-
sion. (Section 8.3)
like terms Terms with exactly the same
variables raised to exactly the same powers
are called like terms. (Sections 1.8, 5.4)
line graph A line graph is a series of line
segments in two dimensions that connect
points representing data. (Section 3.1)
linear equation in one variable A linear
equation in one variable can be written in the
form , where A,B,andCare
real numbers, with. (Section 2.1)
linear equation in two variables A linear
equation in two variables is an equation that
can be written in the form ,
where A,B, and Care real numbers, and A
andBare not both 0. (Section 3.1)
linear inequality in one variable A linear
inequality in one variable can be written in
the form , ,
, or , where A,B,
andCare real numbers, with. (Sec-
tion 2.8)
linear inequality in two variables A lin-
ear inequality in two variables can be written
in the form , ,
or , where A,
B, and Care real numbers, and AandBare
not both 0. (Section 3.5)
line of symmetry The axis of a parabola is a
line of symmetry for the graph. It is a line that
can be drawn through the vertex of the graph in
such a way that the part of the graph on one
side of the line is an exact reflection of the part
on the opposite side. (Sections 5.4, 9.5)
lowest terms A fraction is in lowest terms
if the greatest common factor of the numera-
tor and denominator is 1. (Sections 1.1, 7.1)means of a proportion In the proportion
, the b- and c-terms are called the
means. (Section 2.6)
mixed number A mixed number includes
a whole number and a fraction written to-
gether and is understood to be the sum of the
whole number and the fraction. (Section 1.1)
monomial A monomial is a polynomial
consisting of exactly one term. (Section 5.4)
multiplication property of equality The
multiplication property of equality states
that the same nonzero number can be multi-
plied by (or divided into) both sides of an
equation to obtain an equivalent equation.
(Section 2.2)
multiplication property of inequality The
multiplication property of inequality states
that both sides of an inequality may be mul-
tiplied (or divided) by a positive number
without changing the direction of the in-
equality symbol. Multiplying (or dividing)
by a negative number reverses the direction
of the inequality symbol. (Section 2.8)
multiplicative inverse (reciprocal) The
multiplicative inverse (reciprocal) of a
nonzero number x, symbolized is the real
number which has the property that the
product of the two numbers is 1. For all
nonzero real numbers x,
(Section 1.6)natural numbers The set of natural num-
bers is the set of numbers used for counting:. (Sections 1.1, 1.4)
negative number A negative number is
located to the left of 0 on a number line.
(Section 1.4)
number line A line that has a point desig-
nated to correspond to the real number 0,
and a standard unit chosen to represent the
distance between 0 and 1, is a number line.
All real numbers correspond to one and only
one number on such a line. (Section 1.4)
numerator The number above the fraction
bar in a fraction is called the numerator. It
shows how many of the equivalent parts are
being considered. (Section 1.1)
numerical coefficient (coefficient) The
numerical factor in a term is called the
numerical coefficient, or simply, the coeffi-
cient. (Sections 1.8, 5.4)
ordered pair An ordered pair is a pair of
numbers written within parentheses in the
form (Section 3.1)
origin The point at which the x-axis and
y-axis of a rectangular coordinate system
intersect is called the origin. (Section 3.1)
outer product When using the FOIL method
to multiply two binomials ,
the outer product is ad. (Section 5.5)parabola The graph of a second-degree
(quadratic) equation in two variables is
called a parabola. (Sections 5.4, 9.5)
parallel lines Parallel lines are two lines in
the same plane that never intersect. (Section 3.3)
percent Percent, written with the symbol %,
means per one hundred. (Section 2.6)
percentage A percentage is a part of a
whole. (Section 2.6)
perfect cube A perfect cube is a number
with a rational cube root. (Section 8.1)
perfect square A perfect square is a num-
ber with a rational square root. (Section 8.1)
perfect square trinomial A perfect square
trinomial is a trinomial that can be factored
as the square of a binomial. (Section 6.4)
perimeter The perimeter of a two-dimen-
sional figure is a measure of the distance
around the outside edges of the figure —
that is, the sum of the lengths of its sides.
(Section 2.5)P
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