Index Index
\(a + bi\) form, Definition
as a grouping symbol, Item
formal definition, Definition
of a real number, Subsection
solving equations with one absolute value, Fact
solving greater-than inequalities, Fact
solving less-than inequalities, Fact
Addition
of fractions with different denominators, Fact
of fractions with the same denominator, Fact
addition, Section
additive identity, Paragraph
associative property of, List
commutative property of, List
inverses, Paragraph
of complex numbers, Subsection
of polynomials, Subsection
property of equality, Fact
property of inequality, Paragraph
addition method for solving systems of linear equations. See elimination method for solving systems of linear equations
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, Paragraph
change-of-base formula, Definition Definition
circumference, Paragraphs
coefficient, Definition
common denominator, Fact
common logarithm, Definition
commutative property
of addition, List
of multiplication, List
complementary angles, Definition
complex fraction, Paragraph
complex number, Definition Definition Definition
conjugates, Paragraph
imaginary part, Definition
real part, Definition
compound inequality, Definition
or, Paragraph
conjugates, Paragraph
constant, Paragraph
constant term, Definition
coordinate plane, Definition
coordinates, Section Definition
cross-multiplication, Paragraph
degree, Definition Definition
denominator, Paragraphs
distributive property, List
dividend, Paragraph
dividing a polynomial by a monomial, Subsection
division, Section
property of equality, Fact
property of inequality, Paragraph
divisor, Paragraph
domain, Definition
elimination method for solving systems of linear equations, Subsection
empty set, Paragraph
equation, Paragraph
equivalent equation, Paragraph
evaluate, Example
exponent, Paragraphs 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
exponential, Definition
exponentiation, Section
expression, Paragraph
extraneous solution, Remark
extraneous solutions, 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
sum and difference of cubes, Subsection
trinomials that are quadratic in form, 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
proper, Subsection
reduction, Subsection
fraction bar
as a grouping symbol, Item
function, Definition Definition
domain, Definition Definition
exponential, Definition
informal definition, Paragraph Definition
logarithmic, Definition
notation, Paragraph
range, Definition Definition
technical definition, Definition
G.C.F., Paragraph
generic rectangles, Paragraph
graph
of an equation, Paragraph
greater-than symbol, Paragraph
greater-than-or-equal-to symbol, Paragraph
greatest common factor, Paragraph
identity, Example
additive, Paragraph
multiplicative, Paragraph
imaginary numbers, Definition
imaginary unit, Definition
improper fraction, Subsection
index, Definition
inequality, Paragraph
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
less-than symbol, Paragraph
like term, Paragraph
linear, Paragraph
linear equation, Paragraph
linear relationship, Paragraph
logarithmic, Definition
maximum, Paragraph
minimum, Paragraph
mixed number, Paragraph
monomial, Item
Multiplication
of fractions, Fact
multiplication, Section
associative property of, List
commutative property of, List
inverses, Paragraph
multiplicative identity, Paragraph
of complex numbers, Subsection
property of equality, Fact
property of inequality, Paragraph
Multiplication Properties of Square Roots, Fact
natural base e, Definition
natural exponential, Definition Definition
natural logarithm, Definition
negative, Paragraph
numerator, Paragraphs
parabola, Paragraph Definition
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, Paragraph
perimeter, Paragraphs
perpendicular lines, Fact
point-slope form, Definition
polynomial, Definition
addition and subtraction, Subsection
binomial, Item
coefficients of, Definition
constant term of, Definition
degree of a polynomial, Definition
degree of a term, Definition
divided by a monomial, Subsection
leading coefficient, Paragraph
leading term, Definition
monomial, Item
terms of, Definition
trinomial, Item
positive, Paragraph
power, Paragraph
product, Paragraph
product of sum and difference of two terms, Fact
proper fraction, Subsection
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
proportion, Paragraph
Pythagorean theorem, Theorem
quadrant, Definition
quadratic, Paragraph
equation, Paragraph
equation in standard form, Paragraph
function, Definition
graph, Paragraph Definition
quadratic function
factored form, Fact
forms, Paragraph
vertex form, Fact
quotient, Paragraph
radical, Paragraph Definition
as a grouping symbol, Item
radicand, Definition
range, Definition
rate of change, Definition
rational function, Definition
rational numbers, Item
rationalizing the denominator, Subsection
real numbers, Item
reciprocal, Paragraph
reduced fraction, Subsection
relation, Definition
domain, Definition
range, Definition
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
shared-work problem, Paragraph
signed numbers, Subsection
slope, Definition
formula, Example
given intercepts, Fact
review, Subsection
triangle, Example
slope-intercept form, Definition
solution, Paragraph
to a system of linear equations, Example
solving
absolute value equations
with one absolute value, Fact
absolute value inequalities
with greater than, Fact
with less than, Fact
applications
systems, List
compound inequalities
double, Subsection
with "and", Subsection
with "or", Subsection
linear and quadratic equations, Process
linear equations
multi-step, List
one-step, Subsection
linear inequalities
multistep, List
one-step, Section
quadratic equations
by completing the square, Subsection Fact
by factoring, Process
factoring, Subsection
quadratic formula, Fact
using the square root property, Subsection
radical equations, Subsection
rational equations, Subsection
system of linear equations
elimination method, Subsection
graphing, Subsection
substitution method, Subsection
special cases of multiplication formulas, List
square root, Definition Definition
of a real number, Subsection
square root property, Fact
squaring a binomial, Subsection Fact
standard form, Definition
standard form of a quadratic equation, Paragraph
substitution method for solving a system of linear equations, Subsection
subtraction, Section
property of equality, Fact
property of inequality, Paragraph
sum, Paragraph
supplementary angles, Definition
system of linear equations, Example
uniform motion applications, Subsection
union, Definition
unit analysis, Subsection
unit ratio, Example
vertex form of a quadratic function, Fact
vertical line, Example
vertical line test, Fact
vertical-intercept, Paragraph
volume, Paragraph
cylinder, Paragraphs
prism, Paragraphs
whole numbers, Item