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Math 113/114/115 Elementary Algebra Student Resources

 

 

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   Preparing for a Math Test     
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 PREALGEBRA REVIEW

     
EA-1  Performing Operations on Integers      
EA-2  Performing Operations on Fractions      
EA-3  Performing Operations on Decimals      
EA-4  Knowing the Real Number System     
 

EXPONENT RULES

     
EA-5  Applying the Product Rule    
EA-6  Applying the Power Rule  
EA-7  Applying the Distributivity of Exponentiation over Multiplication  
EA-8  Removing Zero Exponents
EA-9  Removing Negative Exponents    
EA-10  Applying the Quotient Rule
EA-11  Applying the Distributivity of Exponentiation over Division  
EA-12

Applying Combined Rules

   
 

POLYNOMIALS

   
 
EA-13  Identifying and Characterizing Polynomials          
EA-14  Adding and Subtracting Polynomials     
EA-15  Multiplying Polynomials     
EA-16  Multiplying Polynomials       
EA-17  Dividing Polynomials     
EA-18  Performing Various Operations on Polynomials    
 

POLYNOMIAL FACTORING

     
EA-19  Factoring out the Greatest Common Factor       
EA-20

 Factoring by Grouping

EA-21  Finding Two Numbers that Add to One Number and Multiply to Another (Sum-Product)   
EA-22  Factoring Quadratic Trinomials with Leading Coefficient of 1       
EA-23  Factoring Quadratic Trinomials with Leading Coefficient Different from 1                
EA-24  Factoring the Difference of Squares
EA-25  Factoring the Sum/Difference of Cubes
EA-26  Factoring Strategy     
EA-27  Factoring Using Combined Techniques   
 

RATIONAL EXPRESSIONS

   
 
EA-28  Determining When a Rational Expression is Undefined        
EA-29  Simplifying Rational Expressions         
EA-30  Simplifying Rational Expressions Involving Opposite Binomials    
EA-31  Multiplying Rational Expressions  
EA-32  Dividing Rational Expressions  
EA-33  Adding/Subtracting Rational Expressions with the Same Denominator     
EA-34  Finding the LCM of Monomials    
EA-35  Finding the LCM of Polynomials    
EA-36  Adding/Subtracting Rational Expressions with Different Denominators           
EA-37  Performing Combined Operations on Rational Expressions  
EA-38  Simplifying Complex Fractions Involving Rational Expressions  
EA-39  Performing Various Operations on Rational Expressions    
 

 RADICAL EXPRESSIONS (INDEX 2)

     
EA-40  Finding Square Roots of Perfect Squares (Numbers)    
EA-41  Simplifying Radical Expressions        
EA-42  Adding/Subtracting Radical Expressions      
EA-43  Multiplying Radical Expressions      
EA-44  Dividing Radical Expressions  
EA-45  Rationalizing the Denominator (Single Radical)  
EA-46  Rationalizing the Denominator (Binomial Radical)  
EA-47  Performing Various Operations on Radical Expressions    
 

SOLVING LINEAR EQUATIONS

     
EA-48  Solving Equations Involving Fractions  
EA-49  Solving Equations Involving Decimals  
EA-50

 Solving Equations: Combined Techniques

   
 

SOLVING NONLINEAR EQUATIONS

     
EA-51  Solving Quadratic Equations by Factoring         
EA-52  Solving Quadratic Equations by the Square Root Law  
EA-53  Solving Quadratic Equations by Completing the Square     
EA-54  Remembering the Quadratic Formula (by listening to this out-of-tune song)     
EA-55  Solving Quadratic Equations by the Quadratic Formula     
EA-56  Solving Polynomial Equations  
EA-57  Solving Rational Equations  
EA-58  Solving Radical Equations  
EA-59  Solving Various Types of Equations (Linear and Nonlinear)    
 

ANALYTIC GEOMETRY: LINES

     
EA-60  Graphing Linear Equations in Two Variables  
EA-61  Finding the Slope of a Line Given the Graph  
EA-62  Finding the Slope of a Line Given the Coordinates of Two Points    
EA-63  Finding the Slope of a Line Given the Equation    
EA-64

Finding the Slope of Horizontal and Vertical Lines

    
EA-65  Finding the Slope of a Line Parallel to a Given Line  
EA-66  Finding the Slope of a Line Perpendicular to a Given Line    
EA-67  Writing Equations of Horizontal and Vertical Lines     
EA-68  Writing Equations of Lines Given Certain Properties           
EA-69  Writing Equations of Lines Given the Graph    
 

SOLVING SYSTEMS OF TWO LINEAR EQUATIONS IN TWO VARIABLES

     
EA-70  Solving by the Substitution Method     
EA-71  Solving by the Addition Method     
EA-72  Practicing Skills on Lines and 2 by 2 Systems    
 

WORD PROBLEMS: NUMBER

     
EA-73  Setting up and Solving Number Problems Leading to Linear Equations     
EA-74  Setting up and Solving Number Problems Leading to Quadratic Equations  
EA-75  Setting up and Solving Number Problems Leading to Polynomial Equations    
EA-76  Setting up and Solving Number Problems Leading to Rational Equations     
EA-77  Setting up and Solving Number Problems Leading to Radical Equations    
EA-78  Setting up and Solving Number Problems Leading to Various Types of Equations    
EA-79  Setting up and Solving Number Problems Leading to a 2 by 2 System of Linear Equations      
EA-80  Setting up and Solving Number Problems Involving Consecutive Numbers           
EA-81  Setting up and Solving Number Problems Involving the Value of a Fraction     
EA-82  Setting up and Solving Number Problems Involving the Value of a Two-Digit Number     
 

OTHER WORD PROBLEMS

     
EA-83  Setting up and Solving Geometry Problems              
EA-84  Setting up and Solving Motion Problems     
EA-85  Setting up and Solving Work Problems  
EA-86

 Setting up and Solving Mixture Problems

             
EA-87  Setting up and Solving “Mixture” Problems    
EA-88  Setting up and Solving Various Types of Word Problems    
 

GETTING READY FOR MATH 125

     
EA-89  Practicing all the Math 115 Skills