# Index Index

as a grouping symbol, Item

formal definition, Definition

of a real number, Subsection

radical definition, Example

solving equations with one absolute value, Fact

solving equations with two absolute values, Fact

solving greater-than inequalities, Fact

solving less-than inequalities, Fact

addition

additive identity, Paragraph

associative property of, List

commutative property of, List

inverses, Paragraph

of complex numbers, Subsection

of fractions with different denominators, Fact

of fractions with the same denominator, Fact

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\(a + bi\) form, Definition

area, Paragraphs

associative property

of addition, List

of multiplication, List

axis

horizontal, Definition

vertical, Definition

axis of symmetry, Paragraph

Cartesian coodrinate system, Paragraph

RenΓ© Descartes, Section

Cartesian Coordinate System, Definition

circumference, Paragraphs

coefficient, Definition Paragraph

common denominator, Fact

commutative property

of addition, List

of multiplication, List

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

dividing a polynomial by a monomial, Subsection

division

property of equality, Fact

property of inequality, 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

expression, 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

sum and difference of cubes, 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, Definition

domain, Definition Definition

informal definition, Paragraph 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

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

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 complex numbers, Subsection

of fractions, Fact

property of equality, Fact

property of inequality, Paragraph

Multiplication Properties of Square Roots, Fact

negative, Paragraph

numerator, Paragraphs

parabola, 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

prime, Example

terms of, Definition

trinomial, Item

positive, Paragraph

power, Paragraph

prime polynomial, Example

product of sum and difference of two terms, 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

proportion, Paragraph

Pythagorean theorem, Theorem

quadrant, Definition

quadratic, Paragraph

equation, Paragraph

equation in standard form, Paragraph

function, Definition

graph, Definition

vertex, Fact

quadratic function

factored form, Fact

forms, Paragraph

vertex form, Fact

radical, Paragraph Definition

as a grouping symbol, Item

radicand, Definition

range, Definition

rate of change, Definition

ratio, Paragraph

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

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

with two absolute values, Fact

absolute value inequalities

with greater than, Fact

with less than, Fact

compound inequalities

graphically, Subsection

three-part, 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

property of equality, Fact

property of inequality, Paragraph

system of linear equations, Example

union, Definition

variable, Paragraph

vertex form of a quadratic function, Fact

vertical asymptote, Remark

vertical line, Example

vertical-intercept, Paragraph

volume, Paragraph

cylinder, Paragraphs

prism, Paragraphs

whole numbers, Item

\(x\)-intercept, Paragraph

\(x\)-coordinate, Definition

\(x\)-axis, Definition

\(x\)-axis, Paragraph

\(y\)-intercept, Paragraph

\(y\)-intercept, Paragraph

\(y\)-coordinate, Definition

\(y\)-axis, Definition

\(y\)-axis, Paragraph