College Algebra & Trigonometry Explained

Master College Level Algebra with our Step by Step Video Tutorials. Over 3500 Practice Questions! Ace your Algebra Exam!

What you'll learn
Review of Basic Concepts: Real Numbers, Order of Operations, Number Line, Absolute Value
Review of Polynomials: Adding, Subtracting, Multiplying, Dividing, Synthetic Division, Factoring
Review of Rational Expressions: Lowest Terms, Undefined, Addition, Subtraction, Multiplication, Division, Complex Fractions
Review of Radical Expressions: Radical Notation, Simplifying a Radical, Operations with Radicals, Rationalizing Denominators
Solving Linear Equations and Inequalities
Solving Application of Linear Equations Problems (Word Problems)
Solving Absolute Value Equations and Inequalities
Working with Complex Numbers
Solving Quadratic Equations and Inequalities
Solving Applications of Quadratic Equations (Word Problems)
Solving Rational Equations and Inequalities
Solving Radical Equations and Inequalities
The Rectangular Coordinate Plane
The Complex Coordinate Plane
Distance and Midpoint Formulas
Relations and Functions
Domain and Range
Function Notation, Function Composition, Operations on Functions
Graphing Linear Equations
Linear Equations, Finding the Slope of a Line and Equations of Lines
Graphing Circles
Graphing Elementary Functions
Graphing Transformations
Solving Systems of Linear Equations in Two Variables
Solving Systems of Linear Equations in Three Variables
Solving Word Problems with Linear Systems
Using Curve Fitting to Find an Equation Through Three Points
Partial Fraction Decomposition
Solving Linear Systems using Gaussian Elimination and Gauss-Jordan Elimination
Matrix Algebra
Adding and Subtracting Matrices
Solving Matrix Equations
Multiplying a Matrix by a Scalar
Multiplying Matrices
Finding the Inverse of a Matrix
Solving Linear Systems using Matrix Inverses
Determine if functions are one-to-one using the horizontal line test
Determine if functions are one-to-one algebraically
Find the Inverse of a One-to-One Function
Find the Inverse of a Domain Restricted One-to-One Function
Graphing the Inverse of a Function
Graphing an Exponential Function
Solving Exponential Equations with Like Bases
Solving Compound Interest Word Problems
Graphing Logarithmic Functions
Properties of Logarithms | Condensing Logarithms | Expanding Logarithms
Change of Base Rule for Logarithms
Solving Exponential and Logarthimic Equations
Finding the Vertex Form of a Parabola
How to Graph a Parabola
Remainder Theorem
Using the Remainder Theorem to Test Zeros for a Polynomial Function
The Factor Theorem
Using the Factor Theorem to Factor a Polynomial Function Given One Zero
The Rational Zeros Theorem
The Fundamental Theorem of Algebra
The Number of Zeros Theorem
Writing Polynomial Equations Given Zeros and a Point
Conjugate Zeros Theorem
Descartes' Rule of Signs
Intermediate Value Theorem
Boundedness Theorem
Finding the upper and lower bounds for the real zeros of a polynomial function
Solving NonLinear Systems of Equations
Conic Sections: Parabolas - Focus and Directrix
Conic Sections: Ellipses - Finding the Foci and Graphing
Sequences
Arithmetic Sequences
Geometric Sequences
Arithmetic Series
Geometric Series
Finding the Common Difference in an Arithmetic Sequence
Evaluating an Arithmetic Series
The Binomial Theorem
Working with sets, roster method, subsets, Venn diagrams
Combinations
Permutations
Counting Theory
Probability
Angles in Trigonometry
Complementary Angles
Supplementary Angles
Determine if two angles are coterminal angles
Finding Angle measures for similar triangles
Finding side lengths for similar triangles
Finding the Trigonometric Function Values of an Angle
Finding Trigonometric Function Values Given One Value and the Quadrant
Finding Trigonometric Function Values Based on Reciprocal Identities
Finding Trigonometric Function Values Based on Pythagorean Identities
Finding Trigonometric Function Values Based on Quotient Identities
Finding Trigonometric Function Values of Acute Angles
Writing a Trigonometric Function in terms of its Cofunction
Solving Trigonometric Equations Using Cofunction Identities
Finding Reference Angles
Special Angles as Reference Angles
Finding Angle Measures with Special Angles
Finding Trigonometric Function Values of Non-Acute Angles
Finding Trigonometric Function Values Using a Calculator
Finding Unknown Angle Measures Using Inverse Trigonometric Functions: arcsin, arccos, arctan
Solving Right Triangles
Solving Word Problems that involve angles of elevation
Solving Word Problems that involve angles of depression
Radian Measure
Converting Between Degrees and Radians
How to Find the Arc Length on a Circle
How to Find the Area of a Sector of a Circle
Defining the Six Trigonometric Functions Using the Unit Circle
Working with Circular Functions
Solving Trigonometry Word Problems that Involve Linear Speed
Solving Trigonometry Word Problems that Involve Angular Speed
Graphing Sine and Cosine
Function Transformations with Sine and Cosine
Finding the Period, Amplitude, and Phase Shift
Using the Fundamental Trigonometric Identities to Find Missing Trigonometric Ratios
Using the Fundamental Trigonometric Identities to rewrite Trigonometric Expressions
How to Verify Trigonometric Identities
Sum and Difference Identities for Sine, Cosine, and Tangent
Finding sin(A + B)
Finding cos(A + B)
Finding tan(A + B)
Double-Angle Identities
Product-to-Sum Identities
Sum-to-Product Identities
Half-Angle Identities
Evaluating Inverse Trigonometric Functions
Graphing the Inverse Trigonometric Functions
Finding the Composition of the Inverse Trigonometric Functions
Solving Trigonometric Equations Using Linear Methods
Solving Trigonometric Equations by Factoring
Solving Trigonometric Equations by Squaring/Square Roots
Solving Trigonometric Equations Using Identities
Solving Trigonometric Equations Using the Quadratic Formula
Solving Trigonometric Equations with Half-Angles
Solving Trigonometric Equations with Multiple Angles
Solving Trigonometric Equations Involving Inverse Trigonometric Functions
Law of Sines
Law of Sines (Ambiguous Case)
Area of a Triangle using Sine (SAS) and (ASA)
Law of Cosines
Area of a Triangle using Heron's Formula
Finding the Component Form of a Vector
Finding the Magnitude of a Vector
Finding the Direction Angle of a Vector
Finding the sum (resultant) of two vectors
Multiplying a vector by a scalar
Finding the Unit Vector
Writing a Linear Combination of Unit Vectors
Find the Dot Product of Two Vectors
Find the Angle Between Two Vectors
Determine if Two Vectors are Orthogonal
Adding Two Complex Numbers Graphically
Finding the Trigonometric (Polar) Form of a Complex Number
Converting a Complex Number between Rectangular and Polar Forms
Multiplying Complex Numbers in Polar Form
Dividing Complex Numbers in Polar Form
Product and Quotient Theorems
De Moivre's Theorem
Powers of Complex Numbers in Polar Form
Solving Equations Using Roots of Complex Numbers
Plotting Points on the Polar Coordinate Grid
Converting Points Between Rectangular and Polar Forms
Writing Polar Coordinates in Alternative Forms
Finding the Distance Between Two Polar Points
Converting a Line Between Polar and Rectangular Forms
Graphing a Line on the Polar Grid
Finding the Inclination of a Line
Finding the Angle Between Two Lines
Finding the Shortest Distance Between a Line and a Point
Requirements
Basic Arithmetic (Addition, Subtraction, Multiplication, Division)
Pre-Algebra (Must Have)
Basic Algebra (Algebra 1) (Highly Suggested)
Intermediate Algebra (Algebra 2) (Highly Suggested)
Description
Become a Master of College Algebra & Trigonometry and Ace your next Algebra Exam! In this course, you will master all concepts of College-Level Algebra and Trigonometry, from beginner to advanced, with our step-by-step video tutorials and test your knowledge with over 3500 Practice Test Questions. The concepts you will learn are fundamental to success in higher math classes such as Calculus and Linear Algebra. The topics of the course include:Review of Real NumbersOperations with PolynomialsFactoring PolynomialsRational ExpressionsRational ExponentsRadical ExpressionsSolving Linear Equations/Inequalities Solving Word Problems with Linear EquationsComplex NumbersSolving Quadratic Equations (Factoring, Completing the Square, Quadratic Formula)Solving Word Problems with Quadratic EquationsSolving Quadratic/Rational InequalitiesSolving Radical Equations/InequalitiesSolving Advanced Absolute Value Equations/InequalitiesThe Coordinate PlaneGraphing CirclesDistance and Midpoint FormulasRelations and FunctionsDomain and RangeVertical Line TestIncreasing, Decreasing, Constant IntervalsGraphing Linear FunctionsSlopeForms of a LineGraphs of Basic Equations (Parent Functions)Graphing Transformations Function OperationsThe Difference QuotientComposition of FunctionsSolving Linear Systems in Two/Three VariablesSolving Systems of Linear Inequalities in Two VariablesSolving Word Problems with Linear SystemsCurve Fitting, Finding the Equation of a Parabola Given Three PointsPartial Fraction DecompositionSolving Linear Systems using Gaussian Elimination and Gauss-Jordan EliminationMatrix Algebra (Adding Matrices, Multiplying Matrices, Solving Matrix Equations)Finding the Inverse of a MatrixSolving Linear Systems using the Inverse of a MatrixFinding the Determinant of a MatrixFinding the Inverse of a Matrix Using CofactorsSolving Linear Systems using Cramer's RuleApplications of determinants: Area of a Triangle, test for collinearity, equation of a lineDetermine if functions are one-to-one using the Horizontal line test/algebraic methodsFinding the Inverse of a One-to-One FunctionFinding the Inverse of a Domain Restricted FunctionGraphing the Inverse of a FunctionGraphing Exponential FunctionsSolving Exponential Equations with Like BasesSolving Compound Interest Word ProblemsSolving Continuous Compound Interest Word ProblemsGraphing Logarithmic FunctionsProperties of LogarithmsExpanding Logarithms Condensing LogarithmsChange of Base Rule for LogarithmsSolving Exponential and Logarithmic EquationsFinding the Vertex Form of a ParabolaHow to Graph a ParabolaThe Remainder TheoremUsing the Remainder Theorem to test for Zeros of a Polynomial FunctionThe Factor TheoremUsing the Factor Theorem to factor a polynomial function given one zeroUsing the Rational Zeros Theorem to find all possible rational zerosThe Fundamental Theorem of Algebra and the Number of Zeros TheoremWriting Polynomial Functions Given Zeros and a PointConjugate Zeros TheoremDescartes' Rule of SignsIntermediate Value TheoremBoundedness TheoremFind the upper and lower bounds for zeros of a polynomial functionSolving nonlinear systems of equationsConic Sections: Parabolas - Focus and Directrix Conic Sections: Ellipses - Finding the Foci and GraphingArithmetic SequencesArithmetic SeriesGeometric SequencesGeometric SeriesSets, Subsets, Venn DiagramsUnion of Two or More SetsIntersection of Two or More SetsThe Binomial TheoremCounting TheoryCombinationsPermutationsProbabilityAngles in TrigonometryComplementary and Supplementary AnglesWorking with Degrees, Minutes, and SecondsConverting between Decimal Degrees and Degrees, Minutes, and SecondsDetermine if two angles are coterminal anglesFinding angle measures for similar trianglesFinding side lengths for similar trianglesFinding the Trigonometric Function Values of an AngleFinding the Trigonometric function Values of an Angle Given a Point on the Terminal SideFinding Trigonometric Function Values Given One Value and the QuadrantFinding Trigonometric Function Values Based on Pythagorean IdentitiesFinding Trigonometric Function Values Based on Quotient IdentitiesFinding Trigonometric Function Values of Acute AnglesWriting Trigonometric Functions in Terms of its CofunctionSolving Trigonometric Equations Using Cofunction IdentitiesReference AnglesFinding Trigonometric Function Values of Non-Acute AnglesFinding Angle Measures with Special AnglesFinding Trigonometric Function Values Using a CalculatorFinding Missing Angle Measures Using Inverse Trigonometric Functions: arcsin, arccos, arctanSolving Right TrianglesSolving Word Problems with angles of elevationSolving Word Problems with angles of depressionRadian MeasureConverting Between Radians and DegreesFinding the Arc Length on a CircleFinding the Area of a Sector of a CircleDefining the Six Trigonometric Functions Using the Unit CircleSolving Trigonometry Word Problems that Involve Linear and Angular SpeedGraphing Sine and CosineGraphing Function Transformations of Sine and CosineFinding the Amplitude, Period and Phase Shift for Trigonometric FunctionsUsing the Fundamental Identities to find missing Trigonometric RatiosUsing the Fundamental Identities to rewrite Trigonometric ExpressionsVerifying Trigonometric IdentitiesSum and Difference Identities for Sine, Cosine, and TangentFinding sin(A + B), cos(A + B), and tan(A + B)Finding sin(A - B), cos(A - B), and tan(A - B)Finding Trigonometric Function values using Double-Angle IdentitiesWorking with Product-to-Sum and Sum-to-Product IdentitiesWorking with Half-Angle IdentitiesEvaluating Inverse Trigonometric FunctionsGraphing Inverse Trigonometric FunctionsFinding the Composition of Inverse Trigonometric FunctionsSolving Trigonometric Equations Using Linear MethodsSolving Trigonometric Equations by FactoringSolving Trigonometric Equations by Squaring/Square RootsSolving Trigonometric Equations Using IdentitiesSolving Trigonometric Equations Using the Quadratic FormulaSolving Trigonometric Equations with Half-AnglesSolving Trigonometric Equations with Multiple AnglesSolving Trigonometric Equations Involving Inverse Trigonometric FunctionsThe Law of Sines (ASA)The Law of Sines (SAA)The Area of a Triangle using Sine (SAS)The Law of Sines Ambiguous case (SSA)The Law of Cosines (SAS), (SSS)The Area of a Triangle using Heron's FormulaFinding the Component Form of a VectorFinding the Magnitude of a VectorFinding the Direction Angle of a VectorFinding the Sum (resultant) of Two VectorsMultiplying a Vector by a ScalarHow to Find the Unit VectorHow to Write a Linear Combination of Unit VectorsHow to Find the Dot ProductHow to Find the Angle Between Two VectorsHow to Determine if Two Vectors are OrthogonalHow to Add Two Complex Numbers GraphicallyFind the Trigonometric (Polar) Form of a Complex NumberConvert a Complex Number between the Rectangular Form and Polar FormMultiplying Complex Numbers in Polar FormDividing Complex Numbers in Polar FormProduct and Quotient TheoremsDe Moivre's TheoremPowers of Complex Numbers in Polar FormRoots of Complex Numbers in Polar FormSolving Equations Using Roots of Complex NumbersThe Polar Coordinate SystemPlotting Polar Coordinates on the Polar GridConverting Between Polar Coordinates and Rectangular CoordinatesWriting Polar Coordinates in Multiple FormsFinding the Distance Between Two Polar PointsConverting Linear Equations Between Rectangular and Polar FormsGraphing Lines on the Polar Coordinate PlaneConverting Circles from Polar to Rectangular FormGraphing Circles on the Polar GridFinding the Inclination of a LineFinding the Angle Between Two LinesFinding the Shortest Distance Between a Point and a Line

Overview

Section 1: Review of Basic Concepts

Lecture 1 Welcome to the Course :)

Lecture 2 Classifying Real Numbers

Lecture 3 Classifying Real Numbers Study Notes

Lecture 4 Classifying Real Numbers Practice Test

Lecture 5 (Optional) Practice Test Step-by-Step Solutions

Lecture 6 (Optional) Quiz Step-by-Step Solutions

Lecture 7 Exponents and the Order of Operations (PEMDAS)

Lecture 8 Exponents and the Order of Operations Study Notes

Lecture 9 Exponents and the Order of Operations Practice Test

Lecture 10 (Optional) Practice Test Step-by-Step Solutions

Lecture 11 (Optional) Quiz Step-by-Step Solutions

Lecture 12 Ratios, Rates, and Proportions

Lecture 13 Ratios, Rates, and Proportions Study Notes

Lecture 14 Ratios, Rates, and Proportions Practice Test

Lecture 15 (Optional) Practice Test Step-by-Step Solutions

Lecture 16 (Optional) Quiz Step-by-Step Solutions

Lecture 17 Properties of Real Numbers

Lecture 18 Properties of Real Numbers Study Notes

Lecture 19 Properties of Real Numbers Practice Test

Lecture 20 (Optional) Practice Test Step-by-Step Solutions

Lecture 21 (Optional) Quiz Step-by-Step Solutions

Lecture 22 (Optional) Quiz Step-by-Step Solutions

Lecture 23 Inequalities, the Number Line, and Interval Notation

Lecture 24 Inequalities, the Number Line, and Interval Notation Study Notes

Lecture 25 Inequalities, the Number Line, and Interval Notation Practice Test

Lecture 26 (Optional) Practice Test Step-by-Step Solutions

Lecture 27 (Optional) Quiz Step-by-Step Solutions

Lecture 28 Absolute Value and the Distance Between Two Points on a Number Line

Lecture 29 Absolute Value and the Distance Between Two Points on a Number Line Study Notes

Lecture 30 Absolute Value and the Distance Between Two Points Practice Test

Lecture 31 (Optional) Practice Test Step-by-Step Solutions

Lecture 32 (Optional) Quiz Step-by-Step Solutions

Lecture 33 (Optional) Quiz Step-by-Step Solutions

Section 2: Review of Polynomials

Lecture 34 The Product and Power Rules for Exponents

Lecture 35 The Product and Power Rules for Exponents Study Notes

Lecture 36 The Product and Power Rules for Exponents Practice Test

Lecture 37 (Optional) Practice Test Step-by-Step Solutions

Lecture 38 (Optional) Quiz Step-by-Step Solutions

Lecture 39 What is a Polynomial?

Lecture 40 What is a Polynomial Study Notes

Lecture 41 What is a Polynomial Practice Test

Lecture 42 (Optional) Practice Test Step-by-Step Solutions

Lecture 43 (Optional) Quiz Step-by-Step Solutions

Lecture 44 Adding and Subtracting Polynomials

Lecture 45 Adding and Subtracting Polynomials Study Notes

Lecture 46 Adding and Subtracting Polynomials Practice Test

Lecture 47 (Optional) Practice Test Step-by-Step Solutions

Lecture 48 (Optional) Quiz Step-by-Step Solutions

Lecture 49 Multiplying Polynomials

Lecture 50 Multiplying Polynomials Study Notes

Lecture 51 Multiplying Polynomials Practice Test

Lecture 52 (Optional) Practice Test Step-by-Step Solutions

Lecture 53 (Optional) Quiz Step-by-Step Solutions

Lecture 54 Special Polynomial Products

Lecture 55 Special Polynomial Products Study Notes

Lecture 56 Special Polynomial Products Practice Test

Lecture 57 (Optional) Practice Test Step-by-Step Solutions

Lecture 58 (Optional) Quiz Step-by-Step Solutions

Lecture 59 Dividing Polynomials

Lecture 60 Dividing Polynomials Study Notes

Lecture 61 Dividing Polynomials Practice Test

Lecture 62 (Optional) Practice Test Step-by-Step Solutions

Lecture 63 (Optional) Quiz Step-by-Step Solutions

Lecture 64 Synthetic Division

Lecture 65 Synthetic Division Study Notes

Lecture 66 Synthetic Division Practice Test

Lecture 67 (Optional) Practice Test Step-by-Step Solutions

Lecture 68 (Optional) Quiz Step-by-Step Solutions

Lecture 69 (Optional) Quiz Step-by-Step Solutions

Lecture 70 Factoring Out the Greatest Common Factor (GCF)

Lecture 71 Factoring Out the Greatest Common Factor (GCF) Study Notes

Lecture 72 Factoring Out the Greatest Common Factor Practice Test

Lecture 73 (Optional) Practice Test Step-by-Step Solutions

Lecture 74 (Optional) Quiz Step-by-Step Solutions

Lecture 75 Factoring by Grouping

Lecture 76 Factoring by Grouping Study Notes

Lecture 77 Factoring by Grouping Practice Test

Lecture 78 (Optional) Practice Test Step-by-Step Solutions

Lecture 79 (Optional) Quiz Step-by-Step Solutions

Lecture 80 Factoring Trinomials when the Leading Coefficient is 1

Lecture 81 Factoring Trinomials when the Leading Coefficient is 1 Study Notes

Lecture 82 Factoring Trinomials when the Leading Coefficient is 1 Practice Test

Lecture 83 (Optional) Practice Test Step-by-Step Solutions

Lecture 84 (Optional) Quiz Step-by-Step Solutions

Lecture 85 Factoring Trinomials using the AC Method

Lecture 86 Factoring Trinomials using the AC Method Study Notes

Lecture 87 Factoring Trinomials using the AC Method Practice Test

Lecture 88 (Optional) Practice Test Step-by-Step Solutions

Lecture 89 (Optional) Quiz Step-by-Step Solutions

Lecture 90 Factoring Trinomials using Reverse FOIL (Trial and Error)

Lecture 91 Factoring Trinomials using Reverse FOIL (Trial and Error) Study Notes

Lecture 92 Factoring Trinomials using Reverse FOIL (Trial and Error) Practice Test

Lecture 93 (Optional) Practice Test Step-by-Step Solutions

Lecture 94 (Optional) Quiz Step-by-Step Solutions

Lecture 95 Special Factoring

Lecture 96 Special Factoring Study Notes

Lecture 97 Special Factoring Practice Test

Lecture 98 (Optional) Practice Test Step-by-Step Solutions

Lecture 99 (Optional) Quiz Step-by-Step Solutions

Lecture 100 Factoring by Substitution

Lecture 101 Factoring by Substitution Study Notes

Lecture 102 Factoring by Substitution Practice Test

Lecture 103 (Optional) Practice Test Step-by-Step Solutions

Lecture 104 (Optional) Quiz Step-by-Step Solutions

Lecture 105 (Optional) Quiz Step-by-Step Solutions

Section 3: Review of Rational Expressions

Lecture 106 Finding the Restricted Values for a Rational Expression

Lecture 107 Finding the Restricted Values for a Rational Expression Study Notes

Lecture 108 Finding the Restricted Values for a Rational Expressions Practice Test

Lecture 109 (Optional) Practice Test Step-by-Step Solutions

Lecture 110 (Optional) Quiz Step-by-Step Solutions

Lecture 111 Simplifying Rational Expressions

Lecture 112 Simplifying Rational Expressions Study Notes

Lecture 113 Simplifying Rational Expressions Practice Test

Lecture 114 (Optional) Practice Test Step-by-Step Solutions

Lecture 115 (Optional) Quiz Step-by-Step Solutions

Lecture 116 Multiplying and Dividing Rational Expressions

Lecture 117 Multiplying and Dividing Rational Expressions Study Notes

Lecture 118 Multiplying and Dividing Rational Expressions Practice Test

Lecture 119 (Optional) Practice Test Step-by-Step Solutions

Lecture 120 (Optional) Quiz Step-by-Step Solutions

Lecture 121 Finding the LCD for Rational Expressions

Lecture 122 Study Notes for Finding the LCD for Rational Expressions

Lecture 123 Finding the LCD for Rational Expressions Practice Test

Lecture 124 (Optional) Practice Test Step-by-Step Solutions

Lecture 125 (Optional) Quiz Step-by-Step Solutions

Lecture 126 Adding and Subtracting Rational Expressions

Lecture 127 Adding and Subtracting Rational Expressions Study Notes

Lecture 128 Adding and Subtracting Rational Expressions Practice Test

Lecture 129 (Optional) Practice Test Step-by-Step Solutions

Lecture 130 (Optional) Quiz Step-by-Step Solutions

Lecture 131 Complex Rational Expressions

Lecture 132 Complex Rational Expressions Practice Test

Lecture 133 (Optional) Practice Test Step-by-Step Solutions

Lecture 134 (Optional) Quiz Step-by-Step Solutions

Lecture 135 (Optional) Quiz Step-by-Step Solutions

Section 4: Review of Radical Expressions

Lecture 136 Negative Exponents and the Quotient Rule

Lecture 137 Negative Exponents and the Quotient Rule for Exponents Study Notes

Lecture 138 Negative Exponents and the Quotient Rule Practice Test

Lecture 139 (Optional) Practice Test Step-by-Step Solutions

Lecture 140 (Optional) Quiz Step-by-Step Solutions

Lecture 141 Rational Exponents (Fractional Exponents)

Lecture 142 Rational Exponents Study Notes

Lecture 143 Rational Exponents (Fractional Exponents) Practice Test

Lecture 144 (Optional) Practice Test Step-by-Step Solutions

Lecture 145 (Optional) Quiz Step-by-Step Solutions

Lecture 146 Radical Expressions

Lecture 147 Radical Expressions Study Notes

Lecture 148 Radical Expressions Practice Test

Lecture 149 (Optional) Practice Test Step-by-Step Solutions

Lecture 150 (Optional) Quiz Step-by-Step Solutions

Lecture 151 Simplifying Radical Expressions

Lecture 152 Simplifying Radical Expressions Study Notes

Lecture 153 Simplifying Radical Expressions Practice Test

Lecture 154 (Optional) Practice Test Step-by-Step Solutions

Lecture 155 (Optional) Quiz Step-by-Step Solutions

Lecture 156 Operations with Radical Expressions (Adding, Subtracting, Multiplying)

Lecture 157 (Optional) Practice Test Step-by-Step Solutions

Lecture 158 (Optional) Quiz Step-by-Step Solutions

Lecture 159 Rationalizing Denominators

Lecture 160 (Optional) Practice Test Step-by-Step Solutions

Lecture 161 (Optional) Quiz Step-by-Step Solutions

Lecture 162 (Optional) Quiz Step-by-Step Solutions

Section 5: Solving Linear Equations and Inequalities in One Variable

Lecture 163 The Addition Property of Equality

Lecture 164 (Optional) Practice Test Step-by-Step Solutions

Lecture 165 (Optional) Quiz Step-by-Step Solutions

Lecture 166 The Multiplication Property of Equality

Lecture 167 (Optional) Practice Test Step-by-Step Solutions

Lecture 168 (Optional) Quiz Step-by-Step Solutions

Lecture 169 Solving Linear Equations in One Variable

Lecture 170 (Optional) Practice Test Step-by-Step Solutions

Lecture 171 (Optional) Quiz Step-by-Step Solutions

Lecture 172 Solving Linear Equations with Fractions or Decimals

Lecture 173 (Optional) Practice Test Step-by-Step Solutions

Lecture 174 (Optional) Quiz Step-by-Step Solutions

Lecture 175 Repeating Decimal to Fraction

Lecture 176 (Optional) Practice Test Step-by-Step Solutions

Lecture 177 (Optional) Quiz Step-by-Step Solutions

Lecture 178 Identifying Types of Equations

Lecture 179 (Optional) Practice Test Step-by-Step Solutions

Lecture 180 (Optional) Quiz Step-by-Step Solutions

Lecture 181 Solving Proportion Equations

Lecture 182 (Optional) Practice Test Step-by-Step Solutions

Lecture 183 (Optional) Quiz Step-by-Step Solutions

Lecture 184 Solving Literal Equations

Lecture 185 (Optional) Practice Test Step-by-Step Solutions

Lecture 186 (Optional) Quiz Step-by-Step Solutions

Lecture 187 Solving Linear Inequalities in One Variable

Lecture 188 (Optional) Practice Test Step-by-Step Solutions

Lecture 189 (Optional) Quiz Step-by-Step Solutions

Lecture 190 Solving a Three-Part Inequality in One Variable

Lecture 191 (Optional) Practice Test Step-by-Step Solutions

Lecture 192 (Optional) Quiz Step-by-Step Solutions

Lecture 193 Solving Compound Inequalities with "and" or "or"

Lecture 194 (Optional) Practice Test Step-by-Step Solutions

Lecture 195 (Optional) Quiz Step-by-Step Solutions

Lecture 196 Solving Absolute Value Equations I

Lecture 197 (Optional) Practice Test Step-by-Step Solutions

Lecture 198 (Optional) Quiz Step-by-Step Solutions

Lecture 199 Solving Absolute Value Inequalities I

Lecture 200 (Optional) Practice Test Step-by-Step Solutions

Lecture 201 (Optional) Quiz Step-by-Step Solutions

Lecture 202 (Optional) Quiz Step-by-Step Solutions

Section 6: Applications of Linear Equations

Lecture 203 Translating Phrases into Algebraic Expressions and Equations

Lecture 204 (Optional) Practice Test Step-by-Step Solutions

Lecture 205 (Optional) Quiz Step-by-Step Solutions

Lecture 206 Consecutive Integer Word Problems

Lecture 207 (Optional) Practice Test Step-by-Step Solutions

Lecture 208 (Optional) Quiz Step-by-Step Solutions

Lecture 209 Age Word Problems

Lecture 210 (Optional) Practice Test Step-by-Step Solutions

Lecture 211 (Optional) Quiz Step-by-Step Solutions

Lecture 212 Motion Word Problems

Lecture 213 (Optional) Practice Test Step-by-Step Solutions

Lecture 214 (Optional) Quiz Step-by-Step Solutions

Lecture 215 Mixture Word Problems

Lecture 216 (Optional) Practice Test Step-by-Step Solutions

Lecture 217 (Optional) Quiz Step-by-Step Solutions

Lecture 218 Money Word Problems

Lecture 219 (Optional) Practice Test Step-by-Step Solutions

Lecture 220 (Optional) Quiz Step-by-Step Solutions

Lecture 221 Simple Interest Word Problems

Lecture 222 (Optional) Practice Test Step-by-Step Solutions

Lecture 223 (Optional) Quiz Step-by-Step Solutions

Lecture 224 Percent Word Problems

Lecture 225 (Optional) Practice Test Step-by-Step Solutions

Lecture 226 (Optional) Quiz Step-by-Step Solutions

Lecture 227 (Optional) Quiz Step-by-Step Solutions

Section 7: Solving Quadratic Equations and Inequalities

Lecture 228 The Imaginary Unit i

Lecture 229 (Optional) Practice Test Step-by-Step Solutions

Lecture 230 (Optional) Quiz Step-by-Step Solutions

Lecture 231 Operations with Complex Numbers (Adding, Subtracting, Multiplying, Dividing)

Lecture 232 (Optional) Practice Test Step-by-Step Solutions

Lecture 233 (Optional) Quiz Step-by-Step Solutions

Lecture 234 Simplifying Powers of i

Lecture 235 (Optional) Practice Test Step-by-Step Solutions

Lecture 236 (Optional) Quiz Step-by-Step Solutions

Lecture 237 Solving Quadratic Equations by Factoring

Lecture 238 (Optional) Practice Test Step-by-Step Solutions

Lecture 239 (Optional) Quiz Step-by-Step Solutions

Lecture 240 The Square Root Property

Lecture 241 (Optional) Practice Test Step-by-Step Solutions

Lecture 242 (Optional) Quiz Step-by-Step Solutions

Lecture 243 Completing the Square

Lecture 244 (Optional) Practice Test Step-by-Step Solutions

Lecture 245 (Optional) Quiz Step-by-Step Solutions

Lecture 246 The Quadratic Formula

Lecture 247 (Optional) Practice Test Step-by-Step Solutions

Lecture 248 (Optional) Quiz Step-by-Step Solutions

Lecture 249 Quadratic in Form

Lecture 250 (Optional) Practice Test Step-by-Step Solutions

Lecture 251 (Optional) Quiz Step-by-Step Solutions

Lecture 252 Applications of Quadratic Equations

Lecture 253 (Optional) Practice Test Step-by-Step Solutions

Lecture 254 (Optional) Quiz Step-by-Step Solutions

Lecture 255 Solving Quadratic Inequalities

Lecture 256 (Optional) Practice Test Step-by-Step Solutions

Lecture 257 (Optional) Quiz Step-by-Step Solutions

Lecture 258 (Optional) Quiz Step-by-Step Solutions

Section 8: Solving Radical Equations and Rational Equations / Inequalities

Lecture 259 Solving Radical Equations I

Lecture 260 (Optional) Practice Test Step-by-Step Solutions

Lecture 261 (Optional) Quiz Step-by-Step Solutions

Lecture 262 Solving Radical Equations II

Lecture 263 (Optional) Practice Test Step-by-Step Solutions

Lecture 264 (Optional) Quiz Step-by-Step Solutions

Lecture 265 Solving Radical Inequalities I

Lecture 266 (Optional) Practice Test Step-by-Step Solutions

Lecture 267 (Optional) Quiz Step-by-Step Solutions

Lecture 268 Solving Radical Inequalities II

Lecture 269 (Optional) Practice Test Step-by-Step Solutions

Lecture 270 (Optional) Quiz Step-by-Step Solutions

Lecture 271 Solving Rational Equations

Lecture 272 (Optional) Practice Test Step-by-Step Solutions

Lecture 273 (Optional) Quiz Step-by-Step Solutions

Lecture 274 Solving Rational Inequalities

Lecture 275 (Optional) Practice Test Step-by-Step Solutions

Lecture 276 (Optional) Quiz Step-by-Step Solutions

Lecture 277 Applications of Rational Equations

Lecture 278 (Optional) Practice Test Step-by-Step Solutions

Lecture 279 (Optional) Quiz Step-by-Step Solutions

Lecture 280 (Optional) Quiz Step-by-Step Solutions

Section 9: More Advanced Absolute Value Equations/Inequalities

Lecture 281 Absolute Value Equations II

Lecture 282 (Optional) Practice Test Step-by-Step Solutions

Lecture 283 (Optional) Quiz Step-by-Step Solutions

Lecture 284 Absolute Value Equations III

Lecture 285 (Optional) Practice Test Step-by-Step Solutions

Lecture 286 (Optional) Quiz Step-by-Step Solutions

Lecture 287 Absolute Value Inequalities II

Lecture 288 (Optional) Practice Test Step-by-Step Solutions

Lecture 289 (Optional) Quiz Step-by-Step Solutions

Lecture 290 (Optional) Quiz Step-by-Step Solutions

Section 10: Graphs and Functions

Lecture 291 The Rectangular Coordinate System

Lecture 292 The Rectangular Coordinate System Practice Test

Lecture 293 Distance between Two Points (Distance Formula)

Lecture 294 Distance between Two Points (Distance Formula) Practice Test

Lecture 295 Determining Whether Three Points are the Vertices of a Right Triangle

Lecture 296 Determining Whether Three Points are the Vertices of a Right Triangle P.T.

Lecture 297 Determining Whether Three Points are Collinear

Lecture 298 Determining Whether Three Points are Collinear Practice Test

Lecture 299 The Midpoint Formula

Lecture 300 The Midpoint Formula Practice Test

Lecture 301 Plotting Complex Numbers

Lecture 302 Plotting Complex Numbers Practice Test

Lecture 303 Absolute Value of a Complex Number

Lecture 304 Absolute Value of a Complex Number Practice Test

Lecture 305 Distance and Midpoint Formulas in the Complex Plane

Lecture 306 Distance and Midpoint Formulas in the Complex Plane Practice Test

Lecture 307 Graphing Circles

Lecture 308 Graphing Circles Practice Test

Lecture 309 Relations and Functions

Lecture 310 Relations and Functions Practice Test

Lecture 311 Domain and Range

Lecture 312 Domain and Range Practice Test

Lecture 313 Vertical Line Test

Lecture 314 Vertical Line Test Practice Test

Lecture 315 Function Notation

Lecture 316 Function Notation Practice Test

Lecture 317 Graphing Linear Functions

Lecture 318 Graphing Linear Functions Practice Test

Lecture 319 Finding the Slope of a Line

Lecture 320 Finding the Slope of a Line Practice Test

Lecture 321 Equations of Lines

Lecture 322 Equations of Lines Practice Test

Lecture 323 Parallel and Perpendicular Lines

Lecture 324 Parallel and Perpendicular Lines Practice Test

Lecture 325 Graphs of Basic Functions

Lecture 326 Graphs of Basic Functions Practice Test

Lecture 327 Piecewise Functions

Lecture 328 Piecewise Functions Practice Test

Lecture 329 Increasing, Decreasing, and Constant Functions

Lecture 330 Increasing, Decreasing, and Constant Functions Practice Test

Lecture 331 Graphing Techniques: Shrinking and Stretching

Lecture 332 Graphing Techniques: Shrinking and Stretching Practice Test

Lecture 333 Graphing Techniques: Reflecting

Lecture 334 Graphing Techniques: Reflecting

Lecture 335 Even and Odd Functions

Lecture 336 Even and Odd Functions Practice Test

Lecture 337 Graphing Techniques: Translations (Horizontal and Vertical Shifts)

Lecture 338 Graphing Techniques: Translations (Horizontal and Vertical Shifts) Practice Test

Lecture 339 Operations on Functions

Lecture 340 Operations on Functions Practice Test

Lecture 341 The Difference Quotient

Lecture 342 The Difference Quotient Practice Test

Lecture 343 Composition of Functions

Lecture 344 Composition of Functions Practice Test

Section 11: Polynomial Functions

Lecture 345 Finding the Vertex Form of a Parabola

Lecture 346 Finding the Vertex Form of a Parabola Practice Test

Lecture 347 Graphing Parabolas

Lecture 348 Graphing Parabolas Practice Test

Lecture 349 The Remainder Theorem

Lecture 350 The Remainder Theorem Practice Test

Lecture 351 The Factor Theorem

Lecture 352 The Factor Theorem Practice Test

Lecture 353 The Rational Zeros Theorem

Lecture 354 The Rational Zeros Theorem Practice Test

Lecture 355 Fundamental Theorem of Algebra / Writing Polynomial Functions

Lecture 356 Fundamental Theorem of Algebra / Writing Polynomial Functions Practice Test

Lecture 357 Conjugate Zeros Theorem

Lecture 358 Conjugate Zeros Theorem Practice Test

Lecture 359 Descartes' Rule of Signs

Lecture 360 Descartes' Rule of Signs Practice Test

Lecture 361 Intermediate Value and Boundedness Theorems

Lecture 362 Intermediate Value and Boundedness Theorems Practice Test

Lecture 363 Finding the Zeros of a Polynomial Function

Lecture 364 Finding the Zeros of a Polynomial Function Practice Test

Section 12: Inverse Functions, Exponential and Logarithmic Functions

Lecture 365 One-to-One Functions and the Horizontal Line Test

Lecture 366 One-to-One Functions and the Horizontal Line Test Practice Test

Lecture 367 One-to-One Functions - Algebraic Method

Lecture 368 One-to-One Functions - Algebraic Method Practice Test

Lecture 369 How to Find the Inverse of a One-to-One Function

Lecture 370 How to Find the Inverse of a One-to-One Function Practice Test

Lecture 371 How to Determine if Two Functions are Inverses Using Composition

Lecture 372 How to Determine if Two Functions are Inverses Using Composition Practice Test

Lecture 373 How to Find the Inverse of a Domain Restricted Function

Lecture 374 How to Find the Inverse of a Domain Restricted Function Practice Test

Lecture 375 Graphing Exponential Functions

Lecture 376 Graphing Exponential Functions Practice Test

Lecture 377 How to Solve Exponential Equations with Like Bases

Lecture 378 How to Solve Exponential Equations with Like Bases Practice Test

Lecture 379 Compound Interest Word Problems

Lecture 380 Compound Interest Word Problems Practice Test

Lecture 381 Continuous Compound Interest Word Problems

Lecture 382 Continuous Compound Interest Word Problems Practice Test

Lecture 383 Introduction to Logarithms

Lecture 384 Introduction to Logarithms Practice Test

Lecture 385 Properties of Logarithms: Condensing and Expanding

Lecture 386 Properties of Logarithms: Condensing and Expanding Practice Test

Lecture 387 Special Properties of Logarithms | Inverse of Exponential/Logarithmic Function

Lecture 388 Special Properties of Logarithms Practice Test

Lecture 389 Change of Base Formula

Lecture 390 Change of Base Formula Practice Test

Lecture 391 Solving Exponential Equations Using Logarithms

Lecture 392 Solving Exponential Equations Using Logarithms Practice Test

Lecture 393 Solving Logarithmic Equations

Lecture 394 Solving Logarithmic Equations Practice Test

Section 13: Systems of Equations and Matrices

Lecture 395 Solving Linear Systems in Two Variables

Lecture 396 Solving Linear Systems in Two Variables Practice Test

Lecture 397 Solving Linear Systems in Three Variables

Lecture 398 Solving Linear Systems in Three Variables Practice Test

Lecture 399 Finding the Equation of a Parabola Given Three Points

Lecture 400 Finding the Equation of a Parabola Given Three Points Practice Test

Lecture 401 Applications of Linear Systems

Lecture 402 Applications of Linear Systems Practice Test

Lecture 403 Partial Fraction Decomposition with Linear Factors

Lecture 404 Partial Fraction Decomposition with Linear Factors Practice Test

Lecture 405 Partial Fraction Decomposition with Quadratic Factors

Lecture 406 Partial Fraction Decomposition with Quadratic Factors Practice Test

Lecture 407 Gauss-Jordan Elimination Two-Variable System

Lecture 408 Gauss-Jordan Elimination Two-Variable System Practice Test

Lecture 409 Gauss-Jordan Elimination Three-Variable System

Lecture 410 Gauss-Jordan Elimination Three-Variable System Practice Test

Lecture 411 Gauss-Jordan Elimination Four-Variable System

Lecture 412 Gauss-Jordan Elimination Four-Variable System Practice Test

Lecture 413 Introduction to Matrices

Lecture 414 Introduction to Matrices Practice Test

Lecture 415 Adding and Subtracting Matrices

Lecture 416 Adding and Subtracting Matrices Practice Test

Lecture 417 Multiplying a Matrix by a Scalar

Lecture 418 Multiplying Matrices by a Scalar Practice Test

Lecture 419 Multiplying Matrices

Lecture 420 Multiplying Matrices Practice Test

Lecture 421 Finding the Inverse of a Matrix

Lecture 422 Finding the Inverse of a Matrix Practice Test

Lecture 423 Solving Linear Systems using Inverse Matrices

Lecture 424 Solving Linear Systems using Inverse Matrices Practice Test

Lecture 425 Finding the Determinant of an n x n Matrix

Lecture 426 Finding the Determinant of an n x n Matrix Practice Test

Lecture 427 Upper Triangular Form Determinant

Lecture 428 Upper Triangular Form Determinant Practice Test

Lecture 429 Finding the Transpose of a Matrix

Lecture 430 Finding the Transpose of a Matrix Practice Test

Lecture 431 Finding the Adjoint of a Matrix

Lecture 432 Finding the Adjoint of a Matrix

Lecture 433 Finding the Inverse of a Matrix using the Determinant and Adjoint

Lecture 434 Finding the Inverse of a Matrix using the Determinant and Adjoint Practice Test

Lecture 435 Cramer's Rule 2 x 2 System

Lecture 436 Cramer's Rule 2 x 2 System Practice Test

Lecture 437 Cramer's Rule 3 x 3 System

Lecture 438 Cramer's Rule 3 x 3 System Practice Test

Lecture 439 Determinants - Area of a Triangle

Lecture 440 Determinants - Area of a Triangle Practice Test

Lecture 441 Determinants - Test for Collinearity

Lecture 442 Determinants - Test for Collinearity Practice Test

Lecture 443 Determinants - Equation of a Line

Lecture 444 Determinants - Equation of a Line Practice Test

Section 14: Conic Sections & Nonlinear Systems

Lecture 445 Graphing Sideways Parabolas

Lecture 446 Graphing Sideways Parabolas Practice Test

Lecture 447 Conic Sections: The Parabola

Lecture 448 Conic Sections: The Parabola Practice Test

Lecture 449 Conic Sections: The Ellipse

Lecture 450 Conic Sections: The Ellipse Practice Test

Lecture 451 Conic Sections: The Hyperbola

Lecture 452 Conic Sections: The Hyperbola Practice Set

Lecture 453 Solving Nonlinear Systems of Equations

Lecture 454 Solving Nonlinear Systems of Equations Practice Test

Lecture 455 Solving Systems of Linear and Nonlinear Inequalities

Lecture 456 Solving Systems of Linear and Nonlinear Inequalities Practice Test

Section 15: Sequences and Series

Lecture 457 Sequences

Lecture 458 Sequences Practice Test

Lecture 459 Series

Lecture 460 Series Practice Test

Lecture 461 Arithmetic Sequences and Series

Lecture 462 Arithmetic Sequences and Series Practice Test

Lecture 463 Geometric Sequences and Series

Lecture 464 Geometric Sequences and Series Practice Test

Section 16: Further Topics in Algebra (Binomial Theorem, Counting Theory, Probability, Sets)

Lecture 465 The Binomial Theorem

Lecture 466 The Binomial Theorem Practice Test

Lecture 467 Counting Theory

Lecture 468 Counting Theory Practice Test

Lecture 469 The Basics of Probability

Lecture 470 The Basics of Probability Practice Test

Lecture 471 Sets Part 1

Lecture 472 Sets Part 1 Practice Test

Lecture 473 Sets Part 2

Lecture 474 Sets Part 2 Practice Test

Section 17: Trigonometry Part 1: Trigonometric Functions

Lecture 475 Angles in Trigonometry

Lecture 476 (Optional) Practice Test/Quiz Full Step-by-Step Solutions

Lecture 477 Degrees, Minutes, and Seconds

Lecture 478 (Optional) Practice Test/Quiz Full Step-by-Step Solutions

Lecture 479 Coterminal Angles

Lecture 480 (Optional) Practice Test/Quiz Full Step-by-Step Solutions

Lecture 481 Angle Relationships and Similar Triangles

Lecture 482 Angle Relationships and Similar Triangles Practice Test

Lecture 483 Finding Trigonometric Function Values of an Angle

Lecture 484 Finding the Trigonometric Function Values of an Angle Practice Test

Lecture 485 Reciprocal Identities and finding Missing Trigonometric Function Values

Lecture 486 Reciprocal Identities and finding Missing Trig Function Values Practice Test

Lecture 487 Pythagorean and Quotient Identities

Lecture 488 Pythagorean and Quotient Identities Practice Test

Section 18: Trigonometry Part 2: Acute Angles and Right Triangles

Lecture 489 Trigonometric Functions of Acute Angles

Lecture 490 Trigonometric Functions of Acute Angles Practice Test

Lecture 491 Trigonometric Functions of Non-Acute Angles

Lecture 492 Trigonometric Functions of Non-Acute Angles Practice Test

Lecture 493 Finding Trigonometric Function Values Using a Calculator

Lecture 494 Finding Trigonometric Function Values Using a Calculator Practice Test

Lecture 495 Solving Right Triangles

Lecture 496 Solving Right Triangles Practice Test

Section 19: Trigonometry Part 3: Radian Measure & The Unit Circle

Lecture 497 Radian Measure

Lecture 498 Radian Measure Practice Test

Lecture 499 Finding the Arc Length on a Circle

Lecture 500 Finding the Arc Length on a Circle Practice Test

Lecture 501 The Unit Circle & Circular Functions

Lecture 502 The Unit Circle & Circular Functions Practice Test

Lecture 503 Linear & Angular Speed

Lecture 504 Linear & Angular Speed Practice Test

Section 20: Trigonometry Part 4: Graphing Trigonometric Functions

Lecture 505 Graphing Sine & Cosine

Lecture 506 Graphing Sine & Cosine Practice Test

Section 21: Trigonometry Part 5: Trigonometric Identities

Lecture 507 Fundamental Identities

Lecture 508 Fundamental Identities Practice Test

Lecture 509 Verifying Trigonometric Identities

Lecture 510 Verifying Trigonometric Identities Practice Test

Lecture 511 Sum & Difference Identities for Cosine

Lecture 512 Sum & Difference Identities for Cosine Practice Test

Lecture 513 Sum & Difference Identities for Sine and Tangent

Lecture 514 Sum & Difference Identities for Sine and Tangent Practice Test

Lecture 515 Double-Angle, Product-to-Sum, & Sum-to-Product Identities

Lecture 516 Double-Angle, Product-to-Sum, & Sum-to-Product Identities Practice Test

Lecture 517 Half-Angle Identities

Lecture 518 Half-Angle Identities Practice Test

Section 22: Trigonometry Part 6: Trigonometric Equations and Inverse Trigonometric Functions

Lecture 519 Inverse Circular Functions

Lecture 520 Inverse Circular Functions Practice Test

Lecture 521 Solving Trigonometric Equations Using Linear Methods

Lecture 522 Solving Trigonometric Equations Using Linear Methods Practice Test

Lecture 523 Solving Trigonometric Equations Using Factoring

Lecture 524 Solving Trigonometric Equations Using Factoring Practice Test

Lecture 525 Solving Trigonometric Equations Using Square Roots, Squaring, & Identities

Lecture 526 Solving Trigonometric Equations: Square Roots, Squaring, & Identities Practice

Lecture 527 Solving Trigonometric Equations with Half-Angles

Lecture 528 Solving Trigonometric Equations with Half-Angles Practice Test

Lecture 529 Solving Trigonometric Equations with Multiple Angles

Lecture 530 Solving Trigonometric Equations with Multiple Angles Practice Test

Lecture 531 Solving Trigonometric Equations Using Inverse Trigonometric Functions

Lecture 532 Solving Trigonometric Equations Using Inverse Trigonometric Functions Practice

Section 23: Trigonometry Part 7: Law of Sines and Cosines

Lecture 533 Law of Sines Part 1: (SAA) and (ASA)

Lecture 534 Law of Sines Part 1: (SAA) and (ASA) Practice Test

Lecture 535 Law of Sines Part 2: (SSA) Ambiguous Case

Lecture 536 Law of Sines Part 2: (SSA) Ambiguous Case Practice Test

Lecture 537 Law of Cosines (SAS) and (SSS), Heron's Formula

Lecture 538 Law of Cosines (SAS) and (SSS), Heron's Formula Practice Test

Section 24: Trigonometry Part 8: Vectors

Lecture 539 Vectors Part 1: Component Form, Magnitude, & Direction Angle

Lecture 540 Vectors Part 1: Component Form, Magnitude, & Direction Angle Practice Test

Lecture 541 Vectors Part 2: Adding Vectors & Multiplying by a Scalar

Lecture 542 Vectors Part 2: Adding Vectors & Multiplying by a Scalar Practice Test

Lecture 543 Vectors Part 3: The Dot Product & Angle Between Vectors

Lecture 544 Vectors Part 3: The Dot Product & Angle Between Vectors Practice Test

Section 25: Trigonometry Part 9: Complex Numbers in Trigonometry

Lecture 545 Review of Complex Numbers (Optional)

Lecture 546 Review of Complex Numbers Practice Test

Lecture 547 Polar Form of Complex Numbers | Adding Complex Numbers Graphically

Lecture 548 Polar Form of Complex Numbers | Adding Complex Numbers Graphically Practice Test

Lecture 549 Product and Quotient Theorems

Lecture 550 Product and Quotient Theorems Practice Test

Lecture 551 De Moivre's Theorem | Powers and Roots of Complex Numbers

Lecture 552 De Moivre's Theorem | Powers and Roots of Complex Numbers Practice Test

Section 26: Trigonometry Part 10: Polar/Parametric Equations and Graphs, Analytic Geometry

Lecture 553 Polar Coordinates

Lecture 554 Polar Coordinates Practice Test

Lecture 555 Distance Between Polar Points

Lecture 556 Distance Between Polar Points Practice Test

Lecture 557 Polar Form of a Line

Lecture 558 Polar Form of a Line Practice Test

Lecture 559 Circles in Polar Form

Lecture 560 Circles in Polar Form Practice Test

Lecture 561 Analytic Geometry: Lines

Lecture 562 Analytic Geometry: Lines Practice Test

Students who need a complete understanding of Advanced Algebra,Students currently enrolled in a College Level Algebra Course,Students currently enrolled in a Pre-Calculus Course,Students who need to master Algebra in order to fully prepare for Calculus