Intermediate Algebra
Skill | Notes | Videos | Practice |
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Preparing for a Math Test | |||
Taking a Math Test |
ALGEBRAIC EXPRESSIONS
ALGEBRAIC EXPRESSIONS | Notes | Videos | Practice | |
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IA-1 | Removing Nested Symbols of Grouping | Notes | Practice | |
IA-2 |
Revisiting Rules of Integer Exponents |
Practice | ||
IA-3 | Using Scientific Notation | Practice Practice Practice |
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IA-4 | Multiplying 鈥淟ong鈥 Expressions Using Special Products for Binomials | Notes Notes |
Practice | |
IA-5 | Expanding Binomials (Pascal鈥檚 Triangle) | Notes | Practice | |
IA-6 | Performing Long Division on Polynomials with Rearranged and/or Missing Terms | Notes | Practice |
POLYNOMIAL FACTORING
POLYNOMIAL FACTORING | Notes | Videos | Practice | |
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IA-7 | Factoring out the Greatest Common Factor | Notes |
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Practice |
IA-8 | Factoring by Grouping I | Notes | Practice | |
IA-9 | Factoring Quadratic Trinomials | Practice | ||
IA-10 | Recognizing Special Binomial Forms | Notes Notes |
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IA-11 | Factoring the Difference of Squares | Notes | Practice | |
IA-12 |
Factoring the Sum/Difference of Cubes |
Notes | Practice | |
IA-13 | Factoring by Grouping II | Notes | ||
IA-14 | Factoring Strategy | |||
IA-15 |
Factoring Using Combined Techniques |
Notes | Practice | |
IA-16 | Factoring by Substitution | Notes | Practice |
RATIONAL EXPRESSIONS
RATIONAL EXPRESSIONS | Notes | Videos | Practice | |
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IA-17 | Simplifying Rational Expressions |
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Practice | |
IA-18 | Multiplying Rational Expressions | Practice | ||
IA-19 | Dividing Rational Expressions | Practice | ||
IA-20 |
Adding/Subtracting Rational Expressions |
Practice Practice |
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IA-21 | Performing Combined Operations on Rational Expressions | Practice | ||
IA-22 | Simplifying Complex Fractions Involving Rational Expressions | Practice | ||
IA-23 |
Simplifying 鈥淩ational鈥 Expressions Involving Zero and/or Negative Exponents |
Practice |
RADICAL EXPRESSIONS (INDEX >=2)
RADICAL EXPRESSIONS (INDEX >=2) | Notes | Video | Practice | |
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IA-24 | Finding Cube Roots of Numbers | Practice | ||
IA-25 | Simplifying Radical Expressions | Practice | ||
IA-26 | Adding/Subtracting Radical Expressions | Practice | ||
IA-27 | Multiplying Radical Expressions | Practice | ||
IA-28 | Dividing Radical Expressions | Practice | ||
IA-29 | Rationalizing the Denominator (Index 2) | Practice Practice |
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IA-30 | Rationalizing the Denominator (Index >=3) | Practice Practice |
RATIONAL EXPONENTS
RATIONAL EXPONENTS | Note | Video | Practice | |
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IA-31 | Writing Expressions Involving Rational Exponents in Radical Form | Practice | ||
IA-32 | Writing Radical Expressions Using Rational Exponents | Practice | ||
IA-33 |
Evaluating Expressions Involving Rational Exponents |
Practice | ||
IA-34 |
Simplifying Expressions Involving Rational Exponents Multiplying and Dividing Radicals with Different Indices Reducing the Index |
Practice |
SOLVING EQUATIONS IN ONE VARIABLE
SOLVING EQUATIONS IN ONE VARIABLE | Notes | Video | Practice | |
---|---|---|---|---|
IA-40 | Solving Linear Equations Involving Nested Symbols of Grouping | Practice | ||
IA-41 | Solving Linear Equations Involving Fractions | Practice | ||
IA-42 | Solving Linear Equations Involving Decimals | Practice | ||
IA-43 |
Solving Absolute Value Equations |
Practice Practice Practice |
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IA-44 | Solving Quadratic/Quadratic Form Equations | Practice Practice Practice Practice Practice Practice Practice Practice |
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IA-45 | Solving Polynomial Equations | Practice | ||
IA-46 | Solving Rational Equations | Practice | ||
IA-47 | Solving Radical Equations | Practice Practice Practice Practice |
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IA-48 | Solving Literal Equations |
SOLVING LINEAR INEQUALITIES IN ONE VARIABLE
SOLVING NONLINEAR INEQUALITIES IN ONE VARIABLE
SOLVING NONLINEAR INEQUALITIES IN ONE VARIABLE | Notes | Video | Practice | |
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IA-52 | Solving Quadratic Inequalities | Practice Practice Practice |
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IA-53 | Solving Polynomial Inequalities | Practice | ||
IA-54 | Solving Rational Inequalities | Practice Practice Practice Practice Practice |
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IA-55 | Solving Absolute Value Inequalities | Practice Practice |
SOLVING SYSTEMS OF EQUATIONS: 2 X 2 LINEAR
SETTING UP AND SOLVING WORD PROBLEMS
SETTING UP AND SOLVING WORD PROBLEMS | Notes | Video | Practice | |
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IA-85 | Setting up Number Problems | |||
IA-86 |
Setting up Geometry Problems |
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IA-87 | Setting up Mixture Problems | |||
IA-88 | Setting up Motion Problems | |||
IA-89 | Setting up Work Problems |
FUNCTIONS
FUNCTIONS | Notes | Video | Practice | |
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IA-90 | Identifying Functions and Relations | Practice Practice Practice |
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IA-91 | Finding the Domain and the Range | Practice Practice |
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IA-92 | Understanding Function Notation | |||
IA-93 | Finding the Domain Given the Equation | Practice Practice Practice Practice Practice Practice |
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IA-94 | Sketching Graphs of Basic Functions | Practice | ||
IA-95 | Sketching Graphs Involving Horizontal Translations | Practice | ||
IA-96 | Sketching Graphs Involving Vertical Translations | Practice | ||
IA-97 | Sketching Graphs Involving Stretching | Practice | ||
IA-98 | Sketching Graphs Involving Shrinking | Practice | ||
IA-99 | Sketching Graphs Involving Combined Transformations | Practice | ||
IA-100 | Performing Operations on Functions | |||
IA-101 | Solving Variation Problems |
INVERSE FUNCTIONS
INVERSE FUNCTIONS | Notes | Video | Practice | |
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IA-102 | Determining the Existence of the Inverse | Practice Practice Practice |
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IA-103 | Finding the Inverse of a Function | Practice Practice Practice Practice Practice Practice |
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IA-104 | Graphing a Function and its Inverse | Practice | ||
IA-105 | Finding the Domain and Range of a Function and its Inverse | Practice |
EXPONENTIAL AND LOGARITHMIC FUNCTIONS
EXPONENTIAL AND LOGARITHMIC FUNCTIONS | Notes | Video | Practice | |
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IA-106 | Graphing the Basic Exponential Function | Practice | ||
IA-107 | Finding the Domain and the Range of the Exponential Function Based on the Graph | Practice | ||
IA-108 | Solving Exponential Equations; Bases Related | |||
IA-109 | Graphing Transformations of the Basic Exponential Function | |||
IA-110 | Evaluating Logarithms | |||
IA-111 | Graphing the Logarithmic Function | |||
IA-112 | Applying Properties of Logarithms | |||
IA-113 | Expanding Logarithmic Expressions | |||
IA-114 | Compressing Logarithmic Expressions | |||
IA-115 | Solving Logarithmic Equations | |||
IA-116 | Solving Compound Interest Problems | |||
IA-117 | Solving Growth and Decay Problems |