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Algebra I Vocabulary

abscissa
the distance along the horizontal axis in a coordinate graph; graphs the domain.

absolute value
the numerical [value] when direction or sign is not considered. (two words)

additive inverse
the opposite (negative) of a number. Any number plus its _____ equals 0. (two words)

algebra
arithmetic operations using letters and/or symbols in place of numbers.

algebraic expressions
[expressions] composed of letters to stand for numbers. (two words, plural)

algebraic fractions
[fractions] using a variable in the numerator and/or denominator. (two words, plural)

ascending order
basically, when the power of a term increases for each succeeding term. (two words)

associative property
grouping of elements does not make any difference in the outcome. Only true for
multiplication and addition. (two words)

axiom
an accepted general truth or principle by virtue of a claim to intrinsic merit or on the basis of
an appeal to self-evidence; a priori.

binomial
an algebraic expression consisting of two terms.

braces
grouping symbols used after the use of brackets. Also used to represent a set. { } (plural)

brackets
grouping symbols used after the use of parentheses. [ ] (plural)

canceling
in multiplication of fractions, dividing the same number into both a numerator and a
denominator.

cartesian coordinates
a system of assigning ordered number pairs to points on a plane. (two words, plural)

closed half-plane
a [half-plane] that includes the boundary line and is graphed using a solid line and shading.
(three words, hyphenated)

closed interval
an [interval] that includes both endpoints or fixed boundaries. (two words)

closure property
when all answers fall into the original set. (two words)

coefficient
the number in front of a variable. For example, in 9x, 9 is the _____.

common factors
[factors] that are the same for two or more numbers. (two words, plural)

commutative property
order of elements does not make any difference in the outcome. Only true for multiplication
and addition. (two words)

complex fraction
a [fraction] having a fraction or fractions in the numerator and/or denominator. (two words)

composite number
a [number] divisible by more than just 1 and itself (such as 4, 6, 8,9,...). 0 and 1 are not
_____s. (two words)

conjugate
the _____ of a binomial contains the same terms, but the opposite sign between them. (x +
y) and (x - y) are _____s.

coordinate axes
two perpendicular number lines used in a coordinate graph. (two words, plural)

coordinate graph
two perpendicular number lines of a [graph], the x axis and the y axis, creating a plane on
which each point is assigned a pair of numbers. (two words)

coordinates
the numbers that correspond to a point on a coordinate graph. (plural)

cube
the result when a number is multiplied by itself twice. Designated by the exponent 3 (such
as x^3).

cube root
the number that when multiplied by itself twice gives you the original number. For example,
5 is the _____ of 125, which is symbolized as 125^1/3 = 5. (two words)

denominator
everything below the fraction bar in a fraction.

descending order
basically, when the power of a term decreases for each succeeding term. (two words)

direct variation
when y varies directly as x, or when y is directly proportional to x. (two words)

discriminant
the value under the radical sign in the quadratic formula. [b^2 - 4ac]

distributive property
the process of distributing the number on the outside of the parentheses to each number on
the inside. a(b + c) = ab + ac (two words)

domain
the set of all first coordinates (or x) from the ordered pairs in a relation; plotted on the
abscissa.

element
a member of a set.

empty set
a [set] with no members (a null set). (two words)

equal sets
[sets] that have exactly the same members. (two words, plural)

equation
a balanced relationship between numbers and/or symbols. A mathematical sentence.

equivalent sets
[sets] that have the same number of members. (two words, plural)

Euler circles
a method of pictorially representing sets with [circles]. (two words, plural)

evaluate
to determine the value or numerical amount.

exponent
a numeral used to indicate the power of a number.

expression
a collection of mathematical symbols expressing a quantity.

extremes
outer terms. (plural)

factor
to find two or more quantities whose product equals the original quantity; one of the
numbers or mathematical expression by which a larger number etc. can be divided exactly.

finite
countable. Having a definite ending.

FOIL method
a [method] of multiplying binomials in which first terms, outside terms, inside terms, and
last terms are multiplied. (two words)

function
a relation in which each element in the domain is paired with exactly one element in the
range.

graphing method
a [method] of solving simultaneous equations by graphing each equation on a coordinate
graph and finding the common point (intersection). (two words)

half-open interval
an [interval] that includes one endpoint, or one boundary. (three words, hyphenated)

half-plane
the region of a coordinate graph on one side of a boundary line. (two words, hyphenated)

imaginary numbers
square roots of negative [numbers]. The imaginary unit is i. (two words, plural)

indirect variation
when y varies indirectly as x, or y is indirectly proportional to x. That is, as x increases, y
decreases and as y increases, x decreases. (two words)

inverse variation
when y varies inversely as x, or y is inversely proportional to x. That is, as x increases, y
decreases and as y increases, x decreases. (two words)

inequality
a statement in which the relationships are not equal. The opposite of an equation.

infinite
uncountable. Continues forever.

integer
a whole number, either positive, negative, or zero.

intersection of sets
the members that overlap (are in both [sets]). hint: (_) of (_) (three words, plural)

interval
all the numbers that lie within two certain boundaries.

inverse relations
[relations] where the domain and the range have been interchanged, switching the
coordinates in each ordered pair. (two words, plural)

linear equation
an [equation] whose solution set forms a straight line when plotted on a coordinate graph.
(two words)

literal
Consisting of, or expressed by, letters; in computer science the letter would be an explicit
number, i.e., the value of a constant.

literal equation
an [equation] having mostly variables; usually has no numbers, only symbols. (two words)