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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
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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
Conics: Overview
Parabolas
Circles
Ellipses
Hyperbolas
Cramer's Rule
Determinants
Exponentials
Graphing Exponential
Equations
Graphing Logarithmic
Equations
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Graphing Rational
Equations
Induction Proofs
Inequalities:
Polynomial
Inequalities: Rational
Expressions
Inverse
Functions
Logarithms
Log Rules
Matrix
Definitions
Matrix Addition
and
Subtraction
Matrix Multiplication
Matrix
Row Operations
Matrix Inversion
Minors
and Cofactors
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Next Number
in a
Sequence
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
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Solving Word Problems
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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
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"The Bible
says pi = 3"
Books: Reviews, etc.
Box-and-Whisker Plots
Calculators
(what to look for, what to buy)
Factorials
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Formatting
Math as Text
(how to type math when
e-mailing or
posting
questions on tutoring
forums)
How Can 0.999... = 1? |
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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? |
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...and the beginnings
of trig
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Advanced Trig
Graphs
Angles of Elevation / Depr.
Basic
Trigonometric Ratios
Conventions
Evaluating
Using Identities
Greek Letters & Their Names |
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Inverses of
Trig Ratios
Proving Trig Identities
Pythagorean
Theorem
Quadrants and Angles
Radians and Degrees
Right-Triangle
Word Probs |
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Sectors, Areas,
and Arcs
Solving Trig Equations
Special
Angle Values
Trig Functions & Graphs
Trigonometric
Identities
Unit Circle |
