
Skill 
Notes 
Videos 
Practice 

Preparing for a Math Test 




Taking a Math Test 




PREALGEBRA REVIEW




EA1 
Performing Operations on Integers 



EA2 
Performing Operations on Fractions 



EA3 
Performing Operations on Decimals 



EA4 
Knowing the Real Number System 




EXPONENT RULES




EA5 
Applying the Product Rule 



EA6 
Applying the Power Rule 



EA7 
Applying the Distributivity of Exponentiation over Multiplication 



EA8 
Removing Zero Exponents 



EA9 
Removing Negative Exponents 



EA10 
Applying the Quotient Rule 



EA11 
Applying the Distributivity of Exponentiation over Division 



EA12 
Applying Combined Rules





POLYNOMIALS




EA13 
Identifying and Characterizing Polynomials 



EA14 
Adding and Subtracting Polynomials 



EA15 
Multiplying Polynomials 



EA16 
Multiplying Polynomials 



EA17 
Dividing Polynomials 



EA18 
Performing Various Operations on Polynomials 




POLYNOMIAL FACTORING




EA19 
Factoring out the Greatest Common Factor 



EA20 
Factoring by Grouping






EA21 
Finding Two Numbers that Add to One Number and Multiply to Another (SumProduct) 



EA22 
Factoring Quadratic Trinomials with Leading Coefficient of 1 



EA23 
Factoring Quadratic Trinomials with Leading Coefficient Different from 1 



EA24 
Factoring the Difference of Squares 





EA25 
Factoring the Sum/Difference of Cubes 



EA26 
Factoring Strategy 





EA27 
Factoring Using Combined Techniques 




RATIONAL EXPRESSIONS




EA28 
Determining When a Rational Expression is Undefined 



EA29 
Simplifying Rational Expressions 



EA30 
Simplifying Rational Expressions Involving Opposite Binomials 



EA31 
Multiplying Rational Expressions 



EA32 
Dividing Rational Expressions 



EA33 
Adding/Subtracting Rational Expressions with the Same Denominator 



EA34 
Finding the LCM of Monomials 



EA35 
Finding the LCM of Polynomials 



EA36 
Adding/Subtracting Rational Expressions with Different Denominators 



EA37 
Performing Combined Operations on Rational Expressions 



EA38 
Simplifying Complex Fractions Involving Rational Expressions 



EA39 
Performing Various Operations on Rational Expressions 




RADICAL EXPRESSIONS (INDEX 2)




EA40 
Finding Square Roots of Perfect Squares (Numbers) 



EA41 
Simplifying Radical Expressions 



EA42 
Adding/Subtracting Radical Expressions 



EA43 
Multiplying Radical Expressions 



EA44 
Dividing Radical Expressions 



EA45 
Rationalizing the Denominator (Single Radical) 



EA46 
Rationalizing the Denominator (Binomial Radical) 



EA47 
Performing Various Operations on Radical Expressions 




SOLVING LINEAR EQUATIONS




EA48 
Solving Equations Involving Fractions 



EA49 
Solving Equations Involving Decimals 



EA50 
Solving Equations: Combined Techniques





SOLVING NONLINEAR EQUATIONS




EA51 
Solving Quadratic Equations by Factoring 



EA52 
Solving Quadratic Equations by the Square Root Law 



EA53 
Solving Quadratic Equations by Completing the Square 



EA54 
Remembering the Quadratic Formula (by listening to this outoftune song) 



EA55 
Solving Quadratic Equations by the Quadratic Formula 



EA56 
Solving Polynomial Equations 



EA57 
Solving Rational Equations 



EA58 
Solving Radical Equations 



EA59 
Solving Various Types of Equations (Linear and Nonlinear) 




ANALYTIC GEOMETRY: LINES




EA60 
Graphing Linear Equations in Two Variables 





EA61 
Finding the Slope of a Line Given the Graph 



EA62 
Finding the Slope of a Line Given the Coordinates of Two Points 



EA63 
Finding the Slope of a Line Given the Equation 



EA64 
Finding the Slope of Horizontal and Vertical Lines




EA65 
Finding the Slope of a Line Parallel to a Given Line 





EA66 
Finding the Slope of a Line Perpendicular to a Given Line 





EA67 
Writing Equations of Horizontal and Vertical Lines 





EA68 
Writing Equations of Lines Given Certain Properties 



EA69 
Writing Equations of Lines Given the Graph 




SOLVING SYSTEMS OF TWO LINEAR EQUATIONS IN TWO VARIABLES




EA70 
Solving by the Substitution Method 



EA71 
Solving by the Addition Method 



EA72 
Practicing Skills on Lines and 2 by 2 Systems 




WORD PROBLEMS: NUMBER




EA73 
Setting up and Solving Number Problems Leading to Linear Equations 



EA74 
Setting up and Solving Number Problems Leading to Quadratic Equations 



EA75 
Setting up and Solving Number Problems Leading to Polynomial Equations 



EA76 
Setting up and Solving Number Problems Leading to Rational Equations 



EA77 
Setting up and Solving Number Problems Leading to Radical Equations 



EA78 
Setting up and Solving Number Problems Leading to Various Types of Equations 



EA79 
Setting up and Solving Number Problems Leading to a 2 by 2 System of Linear Equations 



EA80 
Setting up and Solving Number Problems Involving Consecutive Numbers 



EA81 
Setting up and Solving Number Problems Involving the Value of a Fraction 



EA82 
Setting up and Solving Number Problems Involving the Value of a TwoDigit Number 




OTHER WORD PROBLEMS




EA83 
Setting up and Solving Geometry Problems 



EA84 
Setting up and Solving Motion Problems 



EA85 
Setting up and Solving Work Problems 



EA86 
Setting up and Solving Mixture Problems




EA87 
Setting up and Solving “Mixture” Problems 



EA88 
Setting up and Solving Various Types of Word Problems 




GETTING READY FOR MATH 125




EA89 
Practicing all the Math 115 Skills 


