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Math 125 Intermediate Algebra Student Resources

 


  SkillNotesVideosPractice
   Preparing for a Math Test     
   Taking a Math Test     
 

 ALGEBRAIC EXPRESSIONS

     
IA-1  Removing Nested Symbols of Grouping   
IA-2

 Revisiting Rules of Integer Exponents

                                  
IA-3  Using Scientific Notation          
IA-4  Multiplying “Long” Expressions Using Special Products for Binomials        
IA-5  Expanding Binomials (Pascal’s Triangle)          
IA-6  Performing Long Division on Polynomials with Rearranged and/or Missing Terms    
 

POLYNOMIAL FACTORING

     
IA-7  Factoring out the Greatest Common Factor       
IA-8  Factoring by Grouping I   
IA-9  Factoring Quadratic Trinomials                            
IA-10  Recognizing Special Binomial Forms        
IA-11  Factoring the Difference of Squares
IA-12

Factoring the Sum/Difference of Cubes

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

 Factoring Using Combined Techniques

  
IA-16  Factoring by Substitution
 

RATIONAL EXPRESSIONS

     
IA-17  Simplifying Rational Expressions                         
IA-18  Multiplying Rational Expressions  
IA-19  Dividing Rational Expressions  
IA-20

 Adding/Subtracting Rational Expressions

               
IA-21  Performing Combined Operations on Rational Expressions  
IA-22  Simplifying Complex Fractions Involving Rational Expressions  
IA-23

 Simplifying “Rational” Expressions Involving Zero and/or Negative Exponents

          
 

RADICAL EXPRESSIONS (INDEX >=2)

     
IA-24  Finding Cube Roots of Numbers    
IA-25  Simplifying Radical Expressions             
IA-26  Adding/Subtracting Radical Expressions     
IA-27  Multiplying Radical Expressions     
IA-28  Dividing Radical Expressions     
IA-29  Rationalizing the Denominator (Index 2)         
IA-30  Rationalizing the Denominator (Index >=3)         
 

RATIONAL EXPONENTS

     
IA-31  Writing Expressions Involving Rational Exponents in Radical Form     
IA-32  Writing Radical Expressions Using Rational Exponents  
IA-33

 Evaluating Expressions Involving Rational Exponents

   
IA-34

Simplifying Expressions Involving Rational Exponents

Multiplying and Dividing Radicals with Different Indices

Reducing the Index

       
 

COMPLEX NUMBERS

     
IA-35  Introduction to Complex Numbers; Graph     
IA-36  Adding/Subtracting Complex Numbers  
IA-37

 Multiplying Complex Numbers

 
IA-38  Dividing Complex Numbers  
IA-39  Evaluating Powers of i  
 

 SOLVING EQUATIONS IN ONE VARIABLE

     
IA-40  Solving Linear Equations Involving Nested Symbols of Grouping    
IA-41  Solving Linear Equations Involving Fractions    
IA-42

 Solving Linear Equations Involving Decimals

   
IA-43

 Solving Absolute Value Equations

         
IA-44

 Solving Quadratic/Quadratic Form Equations

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

SOLVING LINEAR INEQUALITIES IN ONE VARIABLE

     
IA-49  Writing Solution Sets, Graphs, Interval Notation     
IA-50

 Solving Simple Linear Inequalities

               
IA-51  Solving Compound Linear Inequalities              
 

SOLVING NONLINEAR INEQUALITIES IN ONE VARIABLE

     
IA-52  Solving Quadratic Inequalities         
IA-53

 Solving Polynomial Inequalities

 
IA-54  Solving Rational Inequalities               
IA-55  Solving Absolute Value Inequalities      
 

ANALYTIC GEOMETRY: LINES (REVIEW)

     
IA-56  Graphing Lines  
IA-57  Identifying Parallel and Perpendicular Lines    
IA-58  Writing Equations of Lines    
 

ANALYTIC GEOMETRY: CIRCLES

     
IA-59  Finding the Distance Between Two Points    
IA-60  Finding the Midpoint of a Line Segment Connecting Two Points    
IA-61  Graphing Circles      
IA-62  Writing Equations of Circles      
 

ANALYTIC GEOMETRY: PARABOLAS

     
IA-63  Graphing Parabolas Given the Equation in Vertex Form           
IA-64

 Finding the Vertex of a Parabola

       
IA-65  Graphing Parabolas Given the General Equation    
IA-66  Graphing Sideways or Horizontal Parabolas     
 

ANALYTIC GEOMETRY: ELLIPSES

     
IA-67  Graphing Ellipses Given the Standard Equation  
IA-68  Graphing Ellipses Given the General Equation    
 

ANALYTIC GEOMETRY: HYPERBOLAS

     
IA-69  Graphing Hyperbolas Given the Standard Equation    
IA-70  Graphing Hyperbolas Given the General Equation    
 

ANALYTIC GEOMETRY: IDENTIFYING CONIC SECTIONS

     
IA-71  Classifying Conic Sections Given the Standard Equation    
IA-72  Classifying Conic Sections Given the General Equation    
 

SOLVING SYSTEMS OF EQUATIONS:

2 X 2 LINEAR

     
IA-73  Solving by Graphing      
IA-74  Solving by Substitution     
IA-75  Solving by Addition  
IA-76  Solving by Gaussian Elimination    
IA-77  Recognizing Inconsistent and Dependent Systems     
 

SOLVING SYSTEMS OF EQUATIONS:

3 X 3 LINEAR

     
IA-78  Solving by Addition         
IA-79  Solving a 3 x 3 System with Missing Variables     
IA-80  Solving by Gaussian Elimination/ Gauss-Jordan Reduction           
IA-81  Solving by Pivoting        
 

SOLVING 2 X 2 NONLINEAR SYSTEMS

     
IA-82  Solving a System of One Linear and One Quadratic Equation  
IA-83  Solving a Quadratic System    
IA-84  Solving Other Nonlinear Systems    
 

SETTING UP AND SOLVING WORD PROBLEMS

     
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

     
IA-90  Identifying Functions and Relations            
IA-91  Finding the Domain and the Range            
IA-92  Understanding Function Notation        
IA-93  Finding the Domain Given the Equation                          
IA-94  Sketching Graphs of Basic Functions        
IA-95  Sketching Graphs Involving Horizontal Translations  
IA-96  Sketching Graphs Involving Vertical Translations    
IA-97  Sketching Graphs Involving Stretching    
IA-98  Sketching Graphs Involving Shrinking    
IA-99  Sketching Graphs Involving Combined Transformations    
IA-100  Performing Operations on Functions           
IA-101  Solving Variation Problems      
 

INVERSE FUNCTIONS

     
IA-102  Determining the Existence of the Inverse         
IA-103  Finding the Inverse of a Function                 
IA-104  Graphing a Function and its Inverse    
IA-105  Finding the Domain and Range of a Function and its Inverse    
 

EXPONENTIAL AND LOGARITHMIC FUNCTIONS

   
IA-106  Graphing the Basic Exponential Function  
IA-107  Finding the Domain and the Range of the Exponential Function Based on the Graph    
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

     
IA-118  Finding the Sum of the First n Terms of an Arithmetic Series    
IA-119  Finding the Sum of the First n Terms of a Geometric Series