Intermediate Algebra


Skill Notes Videos Practice
Preparing for a Math Test  

 
Taking a Math Test    

ALGEBRAIC EXPRESSIONS

  ALGEBRAIC EXPRESSIONS Notes Videos Practice
IA-1  Removing Nested Symbols of Grouping Notes   Practice
IA-2

 Revisiting Rules of Integer Exponents

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IA-3  Using Scientific Notation     Practice
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IA-4  Multiplying 鈥淟ong鈥 Expressions Using Special Products for Binomials Notes
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Practice
IA-5  Expanding Binomials (Pascal鈥檚 Triangle) Notes


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IA-6  Performing Long Division on Polynomials with Rearranged and/or Missing Terms Notes
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POLYNOMIAL FACTORING

  POLYNOMIAL FACTORING Notes Videos Practice
IA-7 Factoring out the Greatest Common Factor Notes



Practice
IA-8 Factoring by Grouping I Notes   Practice
IA-9 Factoring Quadratic Trinomials

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IA-10 Recognizing Special Binomial Forms Notes
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IA-11 Factoring the Difference of Squares Notes Practice
IA-12

Factoring the Sum/Difference of Cubes

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IA-13 Factoring by Grouping II Notes    
IA-14 Factoring Strategy    
IA-15

Factoring Using Combined Techniques

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IA-16 Factoring by Substitution Notes Practice

RATIONAL EXPRESSIONS

  RATIONAL EXPRESSIONS Notes Videos Practice
IA-17 Simplifying Rational Expressions  











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IA-18 Multiplying Rational Expressions   Practice
IA-19 Dividing Rational Expressions   Practice
IA-20

Adding/Subtracting Rational Expressions

 



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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
IA-24 Finding Cube Roots of Numbers     Practice
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 

  RATIONAL EXPONENTS Note Video Practice
IA-31 Writing Expressions Involving Rational Exponents in Radical Form  
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IA-32 Writing Radical Expressions Using Rational Exponents   Practice
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

 

Practice

COMPLEX NUMBERS

  COMPLEX NUMBERS Notes Video Practice
IA-35 Introduction to Complex Numbers; Graph  
Practice
IA-36 Adding/Subtracting Complex Numbers   Practice
IA-37 Multiplying Complex Numbers   Practice
IA-38 Dividing Complex Numbers   Practice
IA-39 Evaluating Powers of i   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

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IA-44 Solving Quadratic/Quadratic Form Equations  







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IA-45 Solving Polynomial Equations   Practice
IA-46 Solving Rational Equations   Practice
IA-47 Solving Radical Equations   Practice
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IA-48 Solving Literal Equations    

SOLVING LINEAR INEQUALITIES IN ONE VARIABLE

  SOLVING LINEAR INEQUALITIES IN ONE VARIABLE Notes Video Practice
IA-49 Writing Solution Sets, Graphs, Interval Notation    
IA-50 Solving Simple Linear Inequalities   Practice
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IA-51 Solving Compound Linear Inequalities     Practice
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SOLVING NONLINEAR INEQUALITIES IN ONE VARIABLE

  SOLVING NONLINEAR INEQUALITIES IN ONE VARIABLE Notes Video Practice
IA-52 Solving Quadratic Inequalities   Practice
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IA-53 Solving Polynomial Inequalities   Practice
IA-54 Solving Rational Inequalities     Practice
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IA-55 Solving Absolute Value Inequalities   Practice
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ANALYTIC GEOMETRY: LINES (REVIEW) 

  ANALYTIC GEOMETRY: LINES (REVIEW) Notes Video Practice
IA-56 Graphing Lines   Practice
IA-57 Identifying Parallel and Perpendicular Lines     Practice
IA-58 Writing Equations of Lines     Practice

ANALYTIC GEOMETRY: CIRCLES

  ANALYTIC GEOMETRY: CIRCLES Notes Video Practice
IA-59 Finding the Distance Between Two Points     Practice
IA-60 Finding the Midpoint of a Line Segment Connecting Two Points     Practice
IA-61 Graphing Circles   Practice
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IA-62 Writing Equations of Circles   Practice
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ANALYTIC GEOMETRY: PARABOLAS

  ANALYTIC GEOMETRY: PARABOLAS Notes Video Practice
IA-63 Graphing Parabolas Given the Equation in Vertex Form  


Practice
IA-64 Finding the Vertex of a Parabola  
 
IA-65 Graphing Parabolas Given the General Equation     Practice
IA-66 Graphing Sideways or Horizontal Parabolas    

ANALYTIC GEOMETRY: ELLIPSES

  ANALYTIC GEOMETRY: ELLIPSES Notes Video Practice
IA-67 Graphing Ellipses Given the Standard Equation   Practice
IA-68 Graphing Ellipses Given the General Equation     Practice

ANALYTIC GEOMETRY: HYPERBOLAS

  ANALYTIC GEOMETRY: HYPERBOLAS Notes Video Practice
IA-69 Graphing Hyperbolas Given the Standard Equation     Practice
IA-70 Graphing Hyperbolas Given the General Equation     Practice

ANALYTIC GEOMETRY: IDENTIFYING CONIC SECTIONS

  ANALYTIC GEOMETRY: IDENTIFYING CONIC SECTIONS Notes Video Practice
IA-71 Classifying Conic Sections Given the Standard Equation     Practice
IA-72 Classifying Conic Sections Given the General Equation     Practice

SOLVING SYSTEMS OF EQUATIONS: 2 X 2 LINEAR

  SOLVING SYSTEMS OF EQUATIONS: 2 X 2 LINEAR Notes Video Practice
IA-73 Solving by Graphing      
IA-74 Solving by Substitution  
Practice
IA-75 Solving by Addition   Practice
IA-76 Solving by Gaussian Elimination     Practice
IA-77 Recognizing Inconsistent and Dependent Systems    

SOLVING SYSTEMS OF EQUATIONS: 3 X 3 LINEAR

  SOLVING SYSTEMS OF EQUATIONS: 3 X 3 LINEAR Notes Video Practice
IA-78 Solving by Addition  
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IA-79 Solving a 3 x 3 System with Missing Variables    
IA-80 Solving by Gaussian Elimination/ Gauss-Jordan Reduction  


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IA-81 Solving by Pivoting  
 

SOLVING 2 X 2 NONLINEAR SYSTEMS

  SOLVING 2 X 2 NONLINEAR SYSTEMS Notes Video Practice
IA-82 Solving a System of One Linear and One Quadratic Equation   Practice
IA-83 Solving a Quadratic System     Practice
IA-84 Solving Other Nonlinear Systems     Practice

SETTING UP AND SOLVING WORD PROBLEMS

  SETTING UP AND SOLVING WORD PROBLEMS Notes Video Practice
IA-85 Setting up Number Problems  








 
IA-86

Setting up Geometry Problems

 




 
IA-87 Setting up Mixture Problems  

 
IA-88 Setting up Motion Problems  




 
IA-89 Setting up Work Problems  



 

FUNCTIONS

  FUNCTIONS Notes Video Practice
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  
 
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   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
IA-102 Determining the Existence of the Inverse   Practice
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IA-103 Finding the Inverse of a Function     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
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      

SEQUENCES AND SERIES

  SEQUENCES AND SERIES Notes Video Practice
IA-118 Finding the Sum of the First n Terms of an Arithmetic Series     Practice
IA-119 Finding the Sum of the First n Terms of a Geometric Series     Practice