This page lists essential vocabulary and provides links to the pages where the words are defined. The links may point right into the middle of the relevant text, so you may have to read before and after the place they lead you to. You can also find these definition in most Intermediate Algebra textbooks, or indeed in almost any general purpose dictionary of the English language.

When you are through with this class you should understand the meaning
of every word and phrase in the list below.
**
**

# A

- absolute value
- addition
- Algebra
- algebraic expression
- Arithmetic
- arithmetic expression
- associative law of addition
- associative law of multiplication
- asymptotes (of a hyperbola)
- axis, axes (of a cartesian coordinate system).
- axis (of a parabola)

# B

- Backward Substitution
- base (of a power)
- base number (in percent calculations)
- binomial
- binomial formulas
- billion

# C

- centi (prefix)
- Cartesian Coordinate System
- circle
- (general equation of a) circle
- closed (interval)
- coefficient (of a polynomial)
- commutative law of addition
- commutative law of multiplication
- Completed Square Form (of a quadratic function or expression)
- completing the square
- completely factored polynomial
- complex number
- composition of functions
- conic (section)
- conjugate complex (of a complex number)
- constant
- constant (polynomial)
- constant term (of a polynomial)
- (mathematical) convention
- coordinate axes (of a cartesian coordinate system).
- cube root.
- cubic (polynomial)

# D

- deca (prefix)
- deci (prefix)
- degree (of a polynomial)
- denominator
- difference
- difference of squares
- Discriminant (of a quadratic equation)
- distance (between two real numbers)
- distance (between two points in the Cartesian Coordinate System).
- distributive law
- detailed discussion of the distributive law
- dividend
- dividend (in Euclidean Algorithm)
- dividing evenly
- divisibility rules (for small integer factors)
- division (of real numbers)
- division (a complex numbers)
- division by zero
- divisor
- divisor (in Euclidean Algorithm)
- domain (of a function)

# E

- (Gaussian) elimination
- ellipse
- (general equation of an) ellipse
- Euclidean Algorithm
- equation
- equivalent algebraic expressions
- equivalent equation
- evaluating (an algebraic expression)
- evaluating (a function)
- evaluating (a polynomial)
- dividing evenly
- Expression, see:
- algebraic expression
- arithmetic expression
- equivalent algebraic expressions
- (rational expression in)lowest terms
- polynomial (expression or function)
- radical (symbol, expression).
- rational expression
- value (of an algebraic expression)

- exponent (of a power)
- exponentiation

# F

# G

# H

- hecto (prefix)
- hierarchy of number system
- horizontal axis (of an ellipse)
- horizontal axis (of a cartesian coordinate system).
- Horner's Scheme
- hyperbola

# I

# J

# K

# L

- larger
- leading coefficient (of a polynomial)
- least common multiple
- less than
- less than or equal to
- Line of Symmetry (of a parabola)
- linear equation
- linear equation (in several variables)
- linear (polynomial)
- linear system
- long division
- (rational expression in)lowest terms

# M

- major axis (of an ellipse)
- mega (prefix)
- micro (prefix)
- million
- milli (prefix)
- minor axis (of an ellipse)
- mixed number
- monomial
- multiple
- multiplication

# N

*n*-th root.- nano (prefix)
- natural number
- nested multiplication
- nested (parentheses)
- nonic (polynomial)
- nonillion
- number of solutions of a linear system
- numerator

# O

# P

- Parabola
- Parallel (straight lines)
- part (in percent calculations)
- percent
- perfect square
- Perpendicular (straight lines)
- pico (prefix)
- Point-Slope Form (of a straight line)
- polynomial (expression or function)
- power (arithmetic precedence)
- power (definition)
- (arithmetic) precedence
- principal root.
- principles
- product
- pure imaginary number
- purely imaginary number
- The Pythagorean Theorem

# Q

- quadrant
- quadratic equation
- quadratic formula
- quadratic (polynomial)
- quartic (polynomial)
- quadrillion
- quintic (polynomial)
- quintillion
- quotient
- quotient (in Euclidean Algorithm)

# R

- radical (symbol, expression).
- radical equation.
- range (of a function)
- rate (in percent calculations)
- ratio
- rational expression
- rational function
- rational number
- rational function
- real number
- real part (of a complex number)
- real number line
- Rectangular Coordinate System
- remainder (in Euclidean Algorithm)
- rise (of a straight line)
- root.
- root (of a polynomial)
- row sum
- rule (of a function)
- run (of a straight line)

# S

- Scaling (of a geometric object)
- Scaling (of a graph)
- scientific notation
- second binomial formula
- septic (polynomial)
- sextic (polynomial)
- septillion
- sextillion
- smaller
- slope (of a straight line)
- slope-intercept form (of a straight line)
- solving equations
- solving inequalities
- solving polynomial equations
- solution of an equation
- square root.
- standard equation (of a circle)
- standard equation (of an ellipse)
- standard form (of a complex number)
- standard form (of a polynomial)
- standard form (of a quadratic equation)
- substitution
- subtraction
- sum
- synthetic division

# T

# U

# V

- value (of an algebraic expression)
- variable
- vertex (of a parabola)
- vertical axis (of an ellipse)
- vertical axis (of a cartesian coordinate system).

# W

# X

- x-axis (of a cartesian coordinate system).
- x-coordinate.
- x-intercept (of a straight line)

# Y

- y-axis (of a cartesian coordinate system).
- y-coordinate.
- y-intercept (of a straight line)

# Z

- division by zero
- zero (polynomial)
- zero (function)
- zero (of a polynomial)