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Skill |
Notes |
Videos |
Practice |
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Preparing for a Math Test |
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Taking a Math Test |
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ALGEBRAIC EXPRESSIONS
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| IA-1 |
Removing Nested Symbols of Grouping |
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| IA-2 |
Revisiting Rules of Integer Exponents
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| IA-3 |
Using Scientific Notation |
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| IA-4 |
Multiplying “Long” Expressions Using Special Products for Binomials |
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| IA-5 |
Expanding Binomials (Pascal’s Triangle) |
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| IA-6 |
Performing Long Division on Polynomials with Rearranged and/or Missing Terms |
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POLYNOMIAL FACTORING
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| IA-7 |
Factoring out the Greatest Common Factor |
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| IA-8 |
Factoring by Grouping I |
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| IA-9 |
Factoring Quadratic Trinomials |
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| IA-10 |
Recognizing Special Binomial Forms |
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| IA-11 |
Factoring the Difference of Squares |
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| IA-12 |
Factoring the Sum/Difference of Cubes
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| IA-13 |
Factoring by Grouping II |
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| IA-14 |
Factoring Strategy |
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| IA-15 |
Factoring Using Combined Techniques
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| IA-16 |
Factoring by Substitution |
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RATIONAL EXPRESSIONS
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| IA-17 |
Simplifying Rational Expressions |
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| IA-18 |
Multiplying Rational Expressions |
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| IA-19 |
Dividing Rational Expressions |
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| IA-20 |
Adding/Subtracting Rational Expressions
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| IA-21 |
Performing Combined Operations on Rational Expressions |
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| IA-22 |
Simplifying Complex Fractions Involving Rational Expressions |
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| IA-23 |
Simplifying “Rational” Expressions Involving Zero and/or Negative Exponents
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RADICAL EXPRESSIONS (INDEX >=2)
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| IA-24 |
Finding Cube Roots of Numbers |
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| IA-25 |
Simplifying Radical Expressions |
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| IA-26 |
Adding/Subtracting Radical Expressions |
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| IA-27 |
Multiplying Radical Expressions |
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| IA-28 |
Dividing Radical Expressions |
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| IA-29 |
Rationalizing the Denominator (Index 2) |
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| IA-30 |
Rationalizing the Denominator (Index >=3) |
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RATIONAL EXPONENTS
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| IA-31 |
Writing Expressions Involving Rational Exponents in Radical Form |
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| IA-32 |
Writing Radical Expressions Using Rational Exponents |
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| IA-33 |
Evaluating Expressions Involving Rational Exponents
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| IA-34 |
Simplifying Expressions Involving Rational Exponents
Multiplying and Dividing Radicals with Different Indices
Reducing the Index
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COMPLEX NUMBERS
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| IA-35 |
Introduction to Complex Numbers; Graph |
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| IA-36 |
Adding/Subtracting Complex Numbers |
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| IA-37 |
Multiplying Complex Numbers
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| IA-38 |
Dividing Complex Numbers |
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| IA-39 |
Evaluating Powers of i |
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SOLVING EQUATIONS IN ONE VARIABLE
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| IA-40 |
Solving Linear Equations Involving Nested Symbols of Grouping |
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| IA-41 |
Solving Linear Equations Involving Fractions |
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| IA-42 |
Solving Linear Equations Involving Decimals
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| IA-43 |
Solving Absolute Value Equations
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| IA-44 |
Solving Quadratic/Quadratic Form Equations
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| IA-45 |
Solving Polynomial Equations |
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| IA-46 |
Solving Rational Equations |
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| IA-47 |
Solving Radical Equations |
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| IA-48 |
Solving Literal Equations |
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SOLVING LINEAR INEQUALITIES IN ONE VARIABLE
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| IA-49 |
Writing Solution Sets, Graphs, Interval Notation |
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| IA-50 |
Solving Simple Linear Inequalities
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| IA-51 |
Solving Compound Linear Inequalities |
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SOLVING NONLINEAR INEQUALITIES IN ONE VARIABLE
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| IA-52 |
Solving Quadratic Inequalities |
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| IA-53 |
Solving Polynomial Inequalities
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| IA-54 |
Solving Rational Inequalities |
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| IA-55 |
Solving Absolute Value Inequalities |
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ANALYTIC GEOMETRY: LINES (REVIEW)
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| IA-56 |
Graphing Lines |
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| IA-57 |
Identifying Parallel and Perpendicular Lines |
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| IA-58 |
Writing Equations of Lines |
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ANALYTIC GEOMETRY: CIRCLES
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| IA-59 |
Finding the Distance Between Two Points |
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| IA-60 |
Finding the Midpoint of a Line Segment Connecting Two Points |
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| IA-61 |
Graphing Circles |
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| IA-62 |
Writing Equations of Circles |
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ANALYTIC GEOMETRY: PARABOLAS
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| IA-63 |
Graphing Parabolas Given the Equation in Vertex Form |
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| IA-64 |
Finding the Vertex of a Parabola
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| IA-65 |
Graphing Parabolas Given the General Equation |
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| IA-66 |
Graphing Sideways or Horizontal Parabolas |
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ANALYTIC GEOMETRY: ELLIPSES
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| IA-67 |
Graphing Ellipses Given the Standard Equation |
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| IA-68 |
Graphing Ellipses Given the General Equation |
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ANALYTIC GEOMETRY: HYPERBOLAS
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| IA-69 |
Graphing Hyperbolas Given the Standard Equation |
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| IA-70 |
Graphing Hyperbolas Given the General Equation |
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ANALYTIC GEOMETRY: IDENTIFYING CONIC SECTIONS
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| IA-71 |
Classifying Conic Sections Given the Standard Equation |
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| IA-72 |
Classifying Conic Sections Given the General Equation |
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SOLVING SYSTEMS OF EQUATIONS:
2 X 2 LINEAR
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| IA-73 |
Solving by Graphing |
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| IA-74 |
Solving by Substitution |
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| IA-75 |
Solving by Addition |
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| IA-76 |
Solving by Gaussian Elimination |
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| IA-77 |
Recognizing Inconsistent and Dependent Systems |
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SOLVING SYSTEMS OF EQUATIONS:
3 X 3 LINEAR
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| IA-78 |
Solving by Addition |
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| IA-79 |
Solving a 3 x 3 System with Missing Variables |
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| IA-80 |
Solving by Gaussian Elimination/ Gauss-Jordan Reduction |
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| IA-81 |
Solving by Pivoting |
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SOLVING 2 X 2 NONLINEAR SYSTEMS
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| IA-82 |
Solving a System of One Linear and One Quadratic Equation |
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| IA-83 |
Solving a Quadratic System |
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| IA-84 |
Solving Other Nonlinear Systems |
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SETTING UP AND SOLVING WORD PROBLEMS
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| IA-85 |
Setting up Number Problems |
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| IA-86 |
Setting up Geometry Problems
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| IA-87 |
Setting up Mixture Problems |
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| IA-88 |
Setting up Motion Problems |
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| IA-89 |
Setting up Work Problems |
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FUNCTIONS
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| IA-90 |
Identifying Functions and Relations |
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| IA-91 |
Finding the Domain and the Range |
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| IA-92 |
Understanding Function Notation |
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| IA-93 |
Finding the Domain Given the Equation |
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| IA-94 |
Sketching Graphs of Basic Functions |
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| IA-95 |
Sketching Graphs Involving Horizontal Translations |
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| IA-96 |
Sketching Graphs Involving Vertical Translations |
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| IA-97 |
Sketching Graphs Involving Stretching |
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| IA-98 |
Sketching Graphs Involving Shrinking |
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| IA-99 |
Sketching Graphs Involving Combined Transformations |
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| IA-100 |
Performing Operations on Functions |
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| IA-101 |
Solving Variation Problems |
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INVERSE FUNCTIONS
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| IA-102 |
Determining the Existence of the Inverse |
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| IA-103 |
Finding the Inverse of a Function |
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| IA-104 |
Graphing a Function and its Inverse |
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| IA-105 |
Finding the Domain and Range of a Function and its Inverse |
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EXPONENTIAL AND LOGARITHMIC FUNCTIONS
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| IA-106 |
Graphing the Basic Exponential Function |
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| IA-107 |
Finding the Domain and the Range of the Exponential Function Based on the Graph |
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| IA-108 |
Solving Exponential Equations; Bases Related |
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| IA-109 |
Graphing Transformations of the Basic Exponential Function |
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| IA-110 |
Evaluating Logarithms |
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| IA-111 |
Graphing the Logarithmic Function |
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| IA-112 |
Applying Properties of Logarithms |
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| IA-113 |
Expanding Logarithmic Expressions |
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| IA-114 |
Compressing Logarithmic Expressions |
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| IA-115 |
Solving Logarithmic Equations |
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| IA-116 |
Solving Compound Interest Problems |
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| IA-117 |
Solving Growth and Decay Problems |
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SEQUENCES AND SERIES
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| IA-118 |
Finding the Sum of the First n Terms of an Arithmetic Series |
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| IA-119 |
Finding the Sum of the First n Terms of a Geometric Series |
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