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Preliminary
Topics |
Absolute
Value
Factoring Numbers
Fractions
Geometric
Formulas
LCM
and GCF
Metric
Conversions
Negative Numbers
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|
Number
Bases
(binary,
octal, etc.)
Number
Properties
(Distributive, Associative,
Commutative, etc.)
Number
Types
(natural, integer, real,
etc.)
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Converting
between
Decimals,
Fractions,
and
Percents
Rounding
(and significant
digits)
Set
Notation
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Beginning
Algebra Topics |
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Canceling
Units
Distance
Formula
Engineering Notation
Evaluation
Exponents:
Basic
rules
Negative exponents
Fractional exponents
Graphing Overview
Graphing
Absolute Value
Graphing Linear Equations
Graphing Radical Equations
Graphing
Linear Inequalities
(of the form "y
< 2x + 3")
Inequalities
Overview
(three solution methods)
Inequalities:
Linear
(such as "2x < 4")
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Intercepts
Midpoint
Formula
Order
of Operations
Polynomials
(definitions & "like terms")
Polynomials:
Adding &
Subtracting
Polynomials: Multiplying
Polynomials:
Dividing
Radicals
(square roots, cube roots,
rationalizing
denominators,
etc.)
Ratio
& Proportion
Scatterplots
& Regressions
Scientific
Notation
Simple
Factoring
like
"2x + 6 = 2(x + 3)"
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Simplifying
with Exponents
Simplifying
with Parentheses
Slope
of a straight line
Slope
and Graphing
Slope
and y-intercept
(their
meaning in the
context of word problems)
Solving
Absolute Value
Equations
Solving Linear Equations
Solving
Literal Equations
Solving Radical
Equations
Straight-line
equations
(y = mx + b)
Variables
x,y-Plane
(plotting points, etc.)
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Intermediate
Algebra Topics
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Completing
the Square:
circles
ellipses
solving
quadratics
finding the vertex
Descartes' Rule of Signs
Domain
and Range
Even and Odd Functions
Factor Theorem
Factoring
Polynomials
Factoring
Quadratics
Finding Polynomials from
Their Zeroes
Function
Notation
Functions
Function
Transformations
|
|
Graphing
Quadratic
Equations
Deriving Vertex Formula
Graphing Systems of
Linear Inequalities
Inequalities:
Absolute Value
Inequalities:
Quadratic
Linear
Programming
Numerical
Approximation
of
Zeroes
Operations
on Functions
Piecewise
Functions:
definition
of
graphing
of
Polynomial Graphs
Rational
Roots Test
Remainder Theorem
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Quadratic
Formula
Deriving the
Quad. Formula
Sequences and Series
Solving
Polynomials
Solving Quadratic Equations
Solving Systems of
Non-Linear
Equations
Special Factoring Formulas
(difference of squares,
sums and
differences of
cubes, etc.)
Symmetry
Synthetic Division
Variation
(direct, inverse, & joint)
Vertical
Line Test
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Advanced
Algebra Topics
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Asymptotes
Binomial
Theorem
Complex
Fractions
Complex Numbers
Composition of Functions
Cramer's
Rule
Determinants
Exponentials
Graphing Exponential
Equations
Graphing Logarithmic
Equations
Graphing
Rational Equations
Induction
Proofs
Inequalities: Polynomial
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Inequalities:
Rational
Expressions
Inverse
Functions
Logarithms
Log
Rules
Matrix Definitions
Matrix
Addition
and Subtraction
Matrix
Multiplication
Matrix Row Operations
Matrix
Inversion
Minors and Cofactors
Next
Number in a
Sequence
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Partial-Fraction
Decomposition
Rational
Expressions:
Simplifying
Rational Expressions:
Adding
Rational Expressions:
Multiplying
Solving Exponential
Equations
Solving Logarithmic
Equations
Solving
Rational Equations
Solving Systems
of
Linear Equations
|
|
Solving
Word Problems
|
Translation:
How to translate word problems from English into mathematical equations
"age"
word problems
"area/volume/perimeter"
geometry word problems
"coin"
(money) problems
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|
"distance"
d = rt word problems
"investment"
simple interest I = Prt
"mixture"
problems
"number"
(integer) problems
"work"
problems
Determinant
Word Problems
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|
Exponential
and Logarithmic
word
problems
"Percent
of" word problems
(including increase /
decrease problems)
Quadratic
word problems
(including projectile motion)
Systems-of-equations
word
problems
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Appendix
|
Basic
Triangle Values
"The Bible says
pi = 3"
Books: Reviews,
etc.
Box-and-Whisker Plots
Calculators
(what to look for, what to buy)
Factorials
|
|
Formatting
Math as Text
(how to type math when
e-mailing or
posting
questions on tutoring
forums)
How Can 0.999... = 1? |
|
How
Do I Compute
My
Grade?
Mean, Median, and Mode
Placement
Tests
Stem-and-Leaf Plots
Venn Diagrams
Why
Do I Have to
Take Algebra? |
