# 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)