Index Index
absolute value, Fact
as a grouping symbol, Item
formal definition, Definition
solving equations with one absolute value, Fact
solving equations with two absolute values, Fact
addition
additive identity, Paragraph
associative property of, List
commutative property of, List
inverses, Paragraph
of fractions with different denominators, Fact
of fractions with the same denominator, Fact
of polynomials, Subsection
property of equality, Fact
addition method
for solving a system of linear equations, Process
addition method for solving systems of linear equations. See elimination method for solving systems of linear equations
algebraic expression, Paragraph
area, Paragraphs
associative property
of addition, List
of multiplication, List
axis
horizontal, Definition
vertical, Definition
axis of symmetry, Paragraph
Cartesian Coordinate System, Definition
Cartesian coordinate system, Paragraph
René Descartes, Section
circumference, Paragraphs
coefficient, Definition
common denominator, Fact
commutative property
of addition, List
of multiplication, List
complex fraction, Paragraph
complex number, Definition
compound inequality, Definition
or, Paragraph
conjugates, Paragraph
constant, Paragraph
constant polynomial, Item
constant term, Definition
coordinate plane, Definition
coordinates, Section Definition
cubic polynomial, Item
degree
of a polynomial, Definition
of a term, Definition
denominator, Paragraphs
discriminant, Paragraph
distributive property, List
dividing a polynomial by a monomial, Subsection
division
property of equality, Fact
domain, Definition
elimination method, Process
elimination method for solving systems of linear equations, Subsection
equation, Paragraph
linear, Definition
quadratic, Definition
radical, Definition
rational, Definition
equivalent equation, Paragraph
evaluate, Example
exponent, Paragraph
base, Paragraph
introductory rules, List
negative exponent rule, Fact
power, Paragraph
power to a power rule, Paragraph
product rule, Paragraph
product to a power rule, Paragraph
quotient of powers rule, Fact
quotient to a power rule, Fact
zero power rule, Fact
expression
algebraic, Paragraph
extraneous solution, Remark
extraneous solutions, Remark
factor, Remark
factored form of a quadratic function, Fact
factoring
by grouping, Subsection
by the AC method, Subsection
decision tree, Section
difference of squares, Subsection
in stages, Subsection
perfect square trinomials, Subsection
trinomials with higher powers, Subsection
with factor pairs, Subsection
false statement, Example
FOIL, Paragraphs
form
point-slope, Definition
slope-intercept, Definition
standard, Definition
formula, Paragraph
fraction
common denominator, Fact
denominator, Paragraphs
improper, Subsection
mixed number, Paragraph
numerator, Paragraphs
reduction, Subsection
fraction bar
as a grouping symbol, Item
function
domain, Definition
informal definition, Definition
range, Definition
technical definition, Definition
G.C.F., Paragraph
generic rectangle, Paragraph
graph
of an equation, Paragraph
greater-than symbol, Paragraph
greater-than-or-equal-to symbol, Paragraph
greatest common factor, Paragraph
identity
additive, Paragraph
multiplicative, Paragraph
imaginary numbers, Definition
imaginary unit, Definition
improper fraction, Subsection
index, Definition
inequality, Paragraph
linear, Definition
integers, Item
intercept, Paragraph
horizontal, Paragraph
vertical, Paragraph
\(x\), Paragraph
\(y\), Paragraph
intersection, Definition
interval notation, Definition
inverses
additive, Paragraph
multiplicative, Paragraph
irrational numbers, Item
leading coefficient
of a polynomial, Definition
leading term
of a polynomial, Definition
less-than symbol, Paragraph
like terms, Paragraph
linear, Paragraph
linear equation, Definition
linear expression, Paragraph
linear inequality, Definition
linear polynomial, Item
linear relationship, Paragraph
maximum, Paragraph
minimum, Paragraph
mixed number, Paragraph
mixture problem, Example
monomial, Item
multiplication
associative property of, List
commutative property of, List
inverses, Paragraph
multiplicative identity, Paragraph
of fractions, Fact
property of equality, Fact
negative, Paragraph
\(n\)th radical, Definition
\(n\)th root, Definition Definition
nth root, Definition
numerator, Paragraphs
parabola
axis of symmetry, Paragraph
horizontal intercept, Paragraph
opening up or down, Fact
vertex, Paragraph
vertical intercept, Paragraph
parallel lines, Fact
perfect square trinomial, Paragraph
perfect squares, Subsection Paragraph
perimeter, Paragraphs
perpendicular lines, Fact
point-slope form, Definition
polynomial, Definition
addition and subtraction, Subsection
binomial, Item
coefficients, Definition
constant, Item
constant term, Definition
cubic, Item
degree, Definition
divided by a monomial, Subsection
leading coefficient, Definition
leading term, Definition
linear, Item
prime, Example
quadratic, Item
quartic, Paragraph
quintic, Paragraph
terms of, Definition
positive, Paragraph
power, Paragraph
prime polynomial, Example
product of a sum and its conjugate, Fact
properties
associative property of addition, List
associative property of multiplication, List
commutative property of addition, List
commutative property of multiplication, List
distributive property, List
of equivalent equations, Fact
square root property, Fact
zero product property, Fact
Pythagorean theorem, Theorem
quadrant, Definition
quadratic, Paragraph
equation, Definition
equation in standard form, Definition
vertex, Fact
quadratic function
factored form, Fact
forms, Paragraph
vertex form, Fact
quadratic polynomial, Item
quartic polynomial, Paragraph
quintic polynomial, Paragraph
radical, Definition Paragraph
as a grouping symbol, Item
radical equation, Definition
radicand, Definition Definition
range, Definition
rate of change, Definition
rational equation, Definition
rational function, Definition
rational numbers, Item
rationalizing the denominator, Subsection
real numbers, Item
reciprocal, Paragraph
reduced fraction, Subsection
relationship
linear, Paragraph
rise over run, Remark
root, Definition
roots of a function, Paragraph
scientific notation, Definition
set, Paragraph
set notation, Paragraph
set-builder notation, Definition
signed numbers, Subsection
slope, Definition
formula, Example
given intercepts, Fact
review, Subsection
triangle, Example
undefined, Fact
slope-intercept form, Definition
solution, Definition
to a system of linear equations, Definition
solving
absolute value equations
with one absolute value, Fact
with two absolute values, Fact
compound inequalities
three-part, Subsection
with "or", Subsection
inequalities
graphically, Subsection
linear equations
multistep, Process
one-step, Subsection
linear inequalities
multistep, Process
one-step, Section
quadratic equations
by completing the square, Subsection Process
by factoring, Process
factoring, Subsection
quadratic formula, Fact
using the square root property, Subsection
radical equations, Process
rational equations, Subsection Process
system of linear equations
by elimination, Process
by substitution, Process
elimination method, Subsection
graphing, Subsection
square root, Definition Definition
square root property, Fact
squaring a binomial, Subsection Fact
standard form, Definition
standard form of a quadratic equation, Definition
substitution method, Process
subtraction
property of equality, Fact
system of linear equations, Definition
solving by elimination, Process
solving by substitution, Process
union, Paragraph Definition
unit ratio, Example
variable, Paragraph
vertex form of a quadratic function, Fact
vertical asymptote, Remark
vertical line, Example
vertical line test, Fact
vertical-intercept, Paragraph
volume, Paragraph
cylinder, Paragraphs
prism, Paragraphs
whole numbers, Item