Algebra Index

Click on a term or phrase for definitions, information and examples.
Covers all Algebra courses, from Basic through College Algebra.

abscissa
absolute inequality
absolute maximum of a function
absolute minimum of a function
absolute value
absolute value of a complex number
absolute value of a function
absolute value (properties)
absolute value inequalities
add
added to
adding algebraic fractions
adding complex numbers
adding polynomials
adding radicals
adding rational algebraic expressions
adding whole numbers
additional graphing techniques
addition property of equality
additive identity
additive identity (complex numbers)
additive identity (matrices)
additive identity (vectors)
additive identity element (matrices)
additive identity matrix
additive inverse
additive inverse (complex numbers)
additive inverse (matrices)
additive inverse (vectors)
adjoint
adjugate
algebra
algebraic expression
algebraic fraction
algebraic quantity
approximating real roots by the Bisection Method
area of a triangle (determinants)
Argand diagram
Argand plane
argument of a function
arithmetic progression
arithmetic sequence
arithmetic series
Associative Law of Addition
Associative Law of Multiplication
asymptote
augmented matrix
axis of symmetry
axis of symmetry (parabolas)
back substitution
balance
base
Basic Rules of Exponents
binomial
binomial coefficient
Binomial Coefficient Properties
Binomial Expansion Properties
binomial quadratic radical
Binomial Theorem
biquadratic equation
bounded interval
calculating nth roots of complex numbers
cancellation
Cartesian form (complex numbers)
Cartesian plane
Cartesian product
Cauchy-Schwarz Inequality
chain fraction
change of base (logarithmic functions)
change of base formula
classical adjoint (matrices)
closed (set)
closed form (sequences)
closed interval
Closure Properties of Number Sets under Arithmetic Binary Operations
coefficient
coefficient matrix
cofactor
cofactor expansion
column matrix
column vector
combination factoring
combinations of functions
combinations of powers and roots
combined variation
combined with
combining inequalities
common difference
common logarithms
common ratio
Commutative Law of Addition
Commutative Law of Multiplication
comparing radicals
completely factored
complete polynomial
completing the square
complex algebraic fraction
complex conjugate
Complex Numbers
complex plane
composition of functions
compound inequality
concavity
conditional equation
conditional inequality
conjugate (binomial expressions)
conjugate (binomials)
conjugate (complex numbers)
Conjugate Properties of Complex Numbers
Conjugate Roots Theorem
conjunction
consistent and dependent linear system in three variables
consistent and dependent linear system in two variables
consistent and independent linear system in three variables
consistent and independent linear system in two variables
consistent linear system in two variables
constant
constant function
constant of proportionality
constant of variation
constraint
continued fraction
continuity
continuous function
converting continued fractions to simple rational algebraic expressions
coordinate plane
coordinates of a point (on a number line)
Cramer’s Rule
cut point
decimal
decimal fraction
decreased by
decreasing function
degree (of a monomial)
De Moivre’s Theorem
dependent linear system in two variables
Descartes’s Rule of Signs
determinant
determinant function
determinant of order n
determinant solutions of systems of linear equations
determining the extreme value of the middle branch of a rational function
diagonal matrix
difference
difference between
difference between two lines
Difference Inequality
difference of cubes
difference of fourths
difference of two squares
difference quotient
difference of matrices
dimension (matrices)
directly proportional to
direct variation
discriminant
disjunction
Distributive Laws
distinct linear and quadratic factors (rational algebraic expressions)
distinct linear factors (rational algebraic expressions)
distinct quadratic factors (rational algebraic expressions)
divide
divided by
dividend
dividing algebraic fractions
dividing complex numbers
dividing complex numbers in trigonometric form
dividing monomials by monomials
dividing polynomials by monomials
dividing polynomials by polynomials
dividing polynomials by synthetic division
dividing radicals
dividing rational algebraic expressions
Division Algorithm
Division Property of Equality
divisor
domain
dot product (matrices)
Dot Product Properties
double root (quadratic equations)
echelon form (linear systems)
element (matrices)
element (sets)
Elementary Operations on Equations
elementary row operations (matrices)
Elementary Row and Column Operations for Determinants
Elementary System Operations (linear equations)
Elementary System Operations and their Corresponding Elementary Row Operations (matrices)
ellipsis
empty set
entry (matrices)
equal
equality
Equality Properties of Real Numbers
equals
equals sign
equating coefficients
equation
equation of a line through two points (determinants)
equations reducible to quadratic form
equivalence of complex numbers
equivalence of matrices
equivalence of rational algebraic expressions
equivalent (equations)
evaluating algebraic expressions
evaluating determinants
Even and Odd Power Functions and Inverses
even function
expanded form (sequences)
expanding along a column (determinants)
expanding along a row (determinants)
exponent
exponential and logarithmic functions as inverses
exponential decay
exponential decay function
exponential equation
exponential form (logarithmic functions)
exponential function

exponential growth function
Expressions of Functions
extraneous solution
extremes
Existence of an Inverse Theorem
factor pair
factor pair combinations
factorial
factorial formulas
factoring a difference of squares
factoring by common term
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