Math 125 Intermediate Algebra

 Skill Notes Videos Practice 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-44* Will fix this later Solving Equations in Quadratic Form 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