Index Index
Absolute value
implied grouping Item
Addition
associative property of Paragraphs List
commutative property of Paragraphs List
identity property of Paragraph
inverse property of Paragraph
of fractions with different denominators Fact
of fractions with the same denominator Fact
Addition property
of equality Fact
Additive identity Paragraph
Additive inverse Paragraph
Algebraic expression
simplifying Example
Algebraic expressions
simplifying Paragraph
Associative property Paragraphs
of addition List
of multiplication List
axis of symmetry Paragraph
base Paragraph
Combining like terms Subsection Paragraphs
Common denominator Fact
Commutative property Paragraphs
of addition List
of multiplication List
complex fraction Paragraph
Denominator Paragraphs
adding and subtracting fractions with different Fact
adding and subtracting fractions with the same Fact
common Fact
least common Fact
Dependent equations Paragraph
Dependent system Paragraph
discriminant Paragraph
Distributive property Paragraphs List
Division property of equality Fact
empty set Example
Equation
linear Definition
equation
quadratic Definition
radical Definition
rational Definition
Equation of a line
point-slope form Definition
slope-intercept form Definition
Equation(s) Paragraph
addition property of equality for solving Fact
dependent Paragraph
equivalent Paragraph
inconsistent Paragraph
multiplication property of equality for solving Fact
solution of Definition
solution set of Paragraph
using both addition and multiplication properties Subsection Process
Equivalent equations Paragraph
Exponent
implied grouping Item
exponent Paragraph
base Paragraph
introductory rules List
negative integer Definition
power Paragraph
power to a power rule Paragraph
product rule Paragraph
product to a power rule Paragraph
quotient to a power rule Fact
zero Definition
Expression
linear Paragraph
extraneous solution Remark
extraneous solutions Remark
factored form of a quadratic function Fact
factoring
difference of squares Subsection
in stages Subsection
perfect square trinomials Subsection
trinomials with higher powers Subsection
with factor pairs Subsection
Factors Paragraph
FOIL Paragraphs
Fraction
adding and subtracting with the different denominators Fact
adding and subtracting with the same denominator Fact
common denominator Fact
denominator Paragraphs
implied grouping Item
improper Subsection
mixed number Paragraph
multiplication Fact
numerator Paragraphs
reducing Subsection
G.C.F. Paragraph
generic rectangle Paragraph
Graphing
lines in slope-intercept form Figure
systems of linear equations Subsection
Graphs
of inequalities Figure
Greater-than symbol Paragraph
Greater-than-or-equal-to symbol Paragraph
greatest common factor Paragraph
Grouping symbol Item
Identity Subsection
additive Paragraph
multiplicative Paragraph
Identity property
of addition Paragraph
of multiplication Paragraph
Improper fraction Subsection
Inconsistent equations Paragraph
Inconsistent system Paragraph
index Definition
Inequalities Paragraph
solutions of Definition
with infinitely many solutions Example
with no solutions Example
Inequality
linear Definition
Intercept Paragraph
intercept
horizontal Paragraph
vertical Paragraph
\(x\) Paragraph
\(y\) Paragraph
Interval notation Definition
Inverse
additive Paragraph
multiplicative Paragraph
Inverse property
of addition Paragraph
of multiplication Paragraph
Least common denominator (LCD) Fact
Less-than symbol Paragraph
Less-than-or-equal-to symbol Paragraph
Like radicals Item
Like terms Paragraph
Linear equations Definition
solving Process Subsection
with infinitely many solutions Example
with no solution Example
Linear equations in one variable Definition
Linear expression Paragraph
Linear inequalities Definition
solving Process
Linear inequalities in one variable Paragraph Definition
Linear system of equations Definition
Lines
slope of Definition
Mathematical models
involving a system of linear equations Example Example Subsection
maximum Paragraph
minimum Paragraph
Mixed numbers Paragraph
Mixture problems Example
Multiplication
associative property of List
commutative property of List
explicit Remark
identity property of Paragraph
implicit Remark
inverse property of Paragraph
of fractions Fact
Multiplication property of equality Fact
Multiplicative identity Paragraph
Multiplicative inverse Paragraph
Negation property of equality Paragraph
Negative slope Item
Not-equal-to symbol Paragraph
\(n\)th root Definition
\(n\)th radical Definition
\(n\)th root Definition Definition
Numerator Paragraphs
parabola
axis of symmetry Paragraph
horizontal intercept Paragraph
opening up or down Fact
vertex Paragraph
vertical intercept Paragraph
Percent
applications Subsection
as a decimal Paragraph
perfect squares Paragraph
Point-slope form Definition
polynomial
prime Example
Positive slope Item
power Paragraph
prime polynomial Example
Problem solving
with substitution method Subsection
properties
square root property Fact
zero product property Fact
Proportions Paragraph
applications of Example
Pythagorean theorem Theorem
quadratic Paragraph
equation Definition
equation in standard form Definition
vertex Fact
quadratic function
factored form Fact
forms Paragraph
vertex form Fact
Radical Definition Definition
implied grouping Item
radical Definition
radical equation Definition
Radical symbol Definition Definition
Radicals
like Item
radicand Definition Definition
Rate Paragraph
Rate of change Subsection Definition
rational equation Definition
rational function Definition
rationalizing the denominator Subsection
Real numbers
ordering Checkpoint
Reduced fraction Subsection
Reducing a fraction Subsection
Relationship
constant Paragraph
Rise over run Remark
root Definition
roots of a function Paragraph
Satisfy an equation Paragraph
Satisfy an inequality Paragraph
Set
empty Warning
Set notation Paragraph
Set-builder notation Definition
Simplifying a fraction Subsection
Simplifying algebraic expressions Example Checkpoint
Slope Definition
as rate of change Definition
definition Definition
formula Example
negative Item
of a line Definition
positive Item
triangle Example
zero Item
Slope-intercept form Definition
graphing lines in Figure
Solution mixture problems Example
Solution set
of equation Paragraph
Solution(s)
of an inequality Definition
of equations Definition
of system of linear equations Definition
Solving
linear equations
multistep Process
linear inequalities
multistep Process
solving
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
Solving an equation Paragraph
Square root Definition
square root Definition
square root property Fact
standard form of a quadratic equation Definition
problem solving with Example Subsection Example
Subtraction property of equality Fact
Symbol
grouping Item
radical Definition Definition
Systems of linear equations Definition
applications Example Checkpoint Example Subsection
solved by graphing Subsection
with infinitely many solutions Subsection Example
with no solution Subsection Example
Systems of two linear equations
number of solutions List
vertex Paragraph
vertex form of a quadratic function Fact
vertical asymptote Remark
vertical-intercept Paragraph
\(x\)-intercept Paragraph
