MATH154: Elementary and Intermediate Algebra For Business and STEM: Section 5282: Carlin-Goldberg J

Course Modules

Elementary and Intermediate Algebra Self-Review Please Start here before venturing into the review

Elementary and Intermediate Algebra Self-Review Please Start here before venturing into the review Elementary and Intermediate Algebra Self-Review Please Start here before venturing into the review

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Welcome! 2

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Navigating the Self-Paced Elementary and Intermediate Algebra Review Navigating the Self-Paced Elementary and Intermediate Algebra Review 3

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Table of Contents and Navigation List Table of Contents and Navigation List 4

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Lecture Notes from all the Instructor Videos Lecture Notes from all the Instructor Videos 5

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Additional Resources (Questions/Problems/Contact Info) Additional Resources (Questions/Problems/Contact Info) 6

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Prerequisite Algebra Mod 1 Linear Equations and Intro to Inequalities

Prerequisite Algebra Mod 1 Linear Equations and Intro to Inequalities Prerequisite Algebra Mod 1 Linear Equations and Intro to Inequalities

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Elementary Algebra Chapter 2 Lecture Videos and Practice Quizzes Elementary Algebra Chapter 2 Lecture Videos and Practice Quizzes 1

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Context Module Sub Header

Chapter Readings Elementary Alg. Ch 2 2

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Introduction Introduction 3

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2.1 Solve Equations Using the Subtraction and Addition Properties of Equality 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality 4

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2.2 Solve Equations using the Division and Multiplication Properties of Equality 2.2 Solve Equations using the Division and Multiplication Properties of Equality 5

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2.3 Solve Equations with Variables and Constants on Both Sides 2.3 Solve Equations with Variables and Constants on Both Sides 6

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2.4 Use a General Strategy to Solve Linear Equations 2.4 Use a General Strategy to Solve Linear Equations 7

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2.5 Solve Equations with Fractions or Decimals 2.5 Solve Equations with Fractions or Decimals 8

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2.6 Solve a Formula for a Specific Variable 2.6 Solve a Formula for a Specific Variable 9

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2.7 Solve Linear Inequalities 2.7 Solve Linear Inequalities 10

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Chapter 2 Key Terms, Key Concepts, Review Exercises, Practice Test Chapter 2 Key Terms, Key Concepts, Review Exercises, Practice Test 11

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Video for Section 2.3 Video for Section 2.3 12

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Video for EA Section 2.6 Video for EA Section 2.6 13

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Prerequisite Algebra Mod 2 Problem Solving using Linear Equations, Inequalities, Compound Inequalities

Prerequisite Algebra Mod 2 Problem Solving using Linear Equations, Inequalities, Compound Inequalities Prerequisite Algebra Mod 2 Problem Solving using Linear Equations, Inequalities, Compound Inequalities

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Elementary Algebra Chapter 3 Lecture Videos and practice quizzes Elementary Algebra Chapter 3 Lecture Videos and practice quizzes 1

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Intermediate Algebra Chapter 2 Lecture Videos and practice quizzes Intermediate Algebra Chapter 2 Lecture Videos and practice quizzes 2

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Intermediate Algebra Section 2.7 Lecture Videos and Practice quizzes Intermediate Algebra Section 2.7 Lecture Videos and Practice quizzes 3

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Context Module Sub Header

Chapter Reading, Elementary Alg. Chapter 3 4

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External Url

Introduction Introduction 5

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External Url

3.1 Use a Problem-Solving Strategy 3.1 Use a Problem-Solving Strategy 6

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3.2 Solve Percent Applications 3.2 Solve Percent Applications 7

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3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem 3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem 8

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Chapter 3 Key Terms, Key Concepts, Review Exercises, Practice Test Chapter 3 Key Terms, Key Concepts, Review Exercises, Practice Test 9

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Context Module Sub Header

Chapter readings, Intermediate Alg. Chapter 2 10

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2.3 Solve a Formula for a Specific Variable 2.3 Solve a Formula for a Specific Variable 11

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2.4 Solve Mixture and Uniform Motion Applications 2.4 Solve Mixture and Uniform Motion Applications 12

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2.5 Solve Linear Inequalities 2.5 Solve Linear Inequalities 13

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2.6 Solve Compound Inequalities 2.6 Solve Compound Inequalities 14

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2.7 Solve Absolute Value Inequalities 2.7 Solve Absolute Value Inequalities 15

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Chapter 2 Key Terms, Key Concepts, Review Exercises, Practice Test Chapter 2 Key Terms, Key Concepts, Review Exercises, Practice Test 16

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Video for Section 2.7 Video for Section 2.7 17

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Prerequisite Algebra Mod 3 Graphing and Finding the Equation of Lines

Prerequisite Algebra Mod 3 Graphing and Finding the Equation of Lines Prerequisite Algebra Mod 3 Graphing and Finding the Equation of Lines

Page

Elementary Algebra Chapter 4 Lecture Videos and Practice Quizzes Elementary Algebra Chapter 4 Lecture Videos and Practice Quizzes 2

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Context Module Sub Header

Chapter Readings, Elementary Alg. Chapter 4 7

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External Url

Introduction Introduction 8

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4.1 Use the Rectangular Coordinate System 4.1 Use the Rectangular Coordinate System 9

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4.2 Graph Linear Equations in Two Variables 4.2 Graph Linear Equations in Two Variables 10

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4.3 Graph with Intercepts 4.3 Graph with Intercepts 11

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4.4 Understand Slope of a Line 4.4 Understand Slope of a Line 12

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4.5 Use the Slope-Intercept Form of an Equation of a Line 4.5 Use the Slope-Intercept Form of an Equation of a Line 13

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4.6 Find the Equation of a Line 4.6 Find the Equation of a Line 14

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4.7 Graphs of Linear Inequalities 4.7 Graphs of Linear Inequalities 15

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Chapter 4 Key Terms, Key Concepts, Review Exercises, Practice Test Chapter 4 Key Terms, Key Concepts, Review Exercises, Practice Test 16

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Videos for EA Section 4.4 Videos for EA Section 4.4 17

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Videos for EA Section 4.6 Videos for EA Section 4.6 18

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Prerequisite Algebra Mod 4 Relations and Functions, Function Notation, beginning Function Graphing

Prerequisite Algebra Mod 4 Relations and Functions, Function Notation, beginning Function Graphing Prerequisite Algebra Mod 4 Relations and Functions, Function Notation, beginning Function Graphing

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Intermediate Algebra Chapter 3 Lectures Videos and Practice Quizzes Intermediate Algebra Chapter 3 Lectures Videos and Practice Quizzes 2

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Context Module Sub Header

Chapter readings, Intermediate Alg. Chapter 3 4

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3.5 Relations and Functions 3.5 Relations and Functions 5

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3.6 Graphs of Functions 3.6 Graphs of Functions 6

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Videos for Section 3.5 Videos for Section 3.5 7

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Videos for Section 3.6 Videos for Section 3.6 8

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Prerequisite Algebra Mod 5 Systems of Equations with applications, Matrices, Graphing Systems of Linear Inequalities

Prerequisite Algebra Mod 5 Systems of Equations with applications, Matrices, Graphing Systems of Linear Inequalities Prerequisite Algebra Mod 5 Systems of Equations with applications, Matrices, Graphing Systems of Linear Inequalities

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Elementary Algebra Chapter 5, Lecture Videos and Practice Quizzes Elementary Algebra Chapter 5, Lecture Videos and Practice Quizzes 1

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Intermediate Algebra Chapter 4 Lecture Videos and Practice Quizzes Intermediate Algebra Chapter 4 Lecture Videos and Practice Quizzes 2

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Video for Using Matrices in Your Calculator Video for Using Matrices in Your Calculator 3

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Chapter Readings, Elementary Alg. Chapter 5 4

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External Url

Introduction Introduction 5

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5.1 Solve Systems of Equations by Graphing 5.1 Solve Systems of Equations by Graphing 6

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5.2 Solving Systems of Equations by Substitution 5.2 Solving Systems of Equations by Substitution 7

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5.3 Solve Systems of Equations by Elimination 5.3 Solve Systems of Equations by Elimination 8

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Chapter 5 Key Terms, Key Concepts, Review Exercises, Practice Test Chapter 5 Key Terms, Key Concepts, Review Exercises, Practice Test 9

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Chapter readings, Intermediate Alg. Chapter 4 10

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4.2 Solve Applications with Systems of Equations 4.2 Solve Applications with Systems of Equations 11

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4.3 Solve Mixture Applications with Systems of Equations 4.3 Solve Mixture Applications with Systems of Equations 12

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4.4 Solve Systems of Equations with Three Variables 4.4 Solve Systems of Equations with Three Variables 13

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4.5 Solve Systems of Equations Using Matrices 4.5 Solve Systems of Equations Using Matrices 14

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4.7 Graphing Systems of Linear Inequalities 4.7 Graphing Systems of Linear Inequalities 15

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Videos for Section 4.3 Videos for Section 4.3 16

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Videos for Section 4.4 Videos for Section 4.4 17

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Video for Section 4.5 Video for Section 4.5 18

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Videos for Section 4.7 Videos for Section 4.7 19

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Prerequisite Algebra Mod 6 Multiplying, Adding, Subtracting, and Dividing Polynomials. Scientific Notation

Prerequisite Algebra Mod 6 Multiplying, Adding, Subtracting, and Dividing Polynomials. Scientific Notation Prerequisite Algebra Mod 6 Multiplying, Adding, Subtracting, and Dividing Polynomials. Scientific Notation

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Elementary Algebra Chapter 6, Lecture Videos and Practice Quizzes Elementary Algebra Chapter 6, Lecture Videos and Practice Quizzes 2

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Intermediate Algebra Chapter 5, Lecture Videos and Practice Quizzes Intermediate Algebra Chapter 5, Lecture Videos and Practice Quizzes 3

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Chapter Reading, Elementary Alg. Chapter 6 5

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Introduction Introduction 6

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6.1 Add and Subtract Polynomials 6.1 Add and Subtract Polynomials 7

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6.2 Use Multiplication Properties of Exponents 6.2 Use Multiplication Properties of Exponents 8

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6.3 Multiply Polynomials 6.3 Multiply Polynomials 9

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6.4 Special Products 6.4 Special Products 10

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6.5 Divide Monomials 6.5 Divide Monomials 11

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Chapter 6 Key Terms, Key Concepts, Review Exercises, Practice Test Chapter 6 Key Terms, Key Concepts, Review Exercises, Practice Test 12

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Chapter readings, Intermediate Alg. Chapter 5 13

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5.2 Properties of Exponents and Scientific Notation 5.2 Properties of Exponents and Scientific Notation 14

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5.4 Dividing Polynomials 5.4 Dividing Polynomials 15

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Videos for Section 5.4 Videos for Section 5.4 16

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Prerequisite Algebra Mod 7 Polynomial Factoring from Start to Finish

Prerequisite Algebra Mod 7 Polynomial Factoring from Start to Finish Prerequisite Algebra Mod 7 Polynomial Factoring from Start to Finish

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Elementary Algebra Chapter 7: Lecture Videos and Practice Quizzes Elementary Algebra Chapter 7: Lecture Videos and Practice Quizzes 3

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Intermediate Algebra Chapter 6, Lecture Videos and Practice Quizzes Intermediate Algebra Chapter 6, Lecture Videos and Practice Quizzes 4

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Chapter Readings, Elementary Alg. Chapter 7 7

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External Url

Introduction Introduction 8

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7.1 Greatest Common Factor and Factor by Grouping 7.1 Greatest Common Factor and Factor by Grouping 9

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7.2 Factor Trinomials of the Form x2+bx+c 7.2 Factor Trinomials of the Form x2+bx+c 10

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7.3 Factor Trinomials of the Form ax2+bx+c 7.3 Factor Trinomials of the Form ax2+bx+c 11

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7.4 Factor Special Products 7.4 Factor Special Products 12

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Chapter 7 Key Terms, Key Concepts, Review Exercises, Practice Test Chapter 7 Key Terms, Key Concepts, Review Exercises, Practice Test 13

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Chapter Readings, Intermediate Algebra Chapter 6 14

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6.4 General Strategy for Factoring Polynomials 6.4 General Strategy for Factoring Polynomials 15

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6.5 Polynomial Equations 6.5 Polynomial Equations 16

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Videos for Factoring Review, Sections 6.1 through 6.3 Videos for Factoring Review, Sections 6.1 through 6.3 17

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Videos for Section 6.4 Videos for Section 6.4 18

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Videos for Section 6.5 Videos for Section 6.5 19

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Prerequisite Algebra Mod 8 Rational Equations; Simplifying, Mult. and Div., Adding and Subt. Solving Rational Equations and Inequalities

Prerequisite Algebra Mod 8 Rational Equations; Simplifying, Mult. and Div., Adding and Subt. Solving Rational Equations and Inequalities Prerequisite Algebra Mod 8 Rational Equations; Simplifying, Mult. and Div., Adding and Subt. Solving Rational Equations and Inequalities

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Elementary Algebra Chapter 8, Lecture Videos and Practice Quizzes Elementary Algebra Chapter 8, Lecture Videos and Practice Quizzes 2

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Intermediate Algebra Chapter 7, Lecture Videos and Practice Quizzes Intermediate Algebra Chapter 7, Lecture Videos and Practice Quizzes 4

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Chapter Reading, Elementary Algebra Chapter 8 6

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External Url

Introduction Introduction 7

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8.1 Simplify Rational Expressions 8.1 Simplify Rational Expressions 8

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8.2 Multiply and Divide Rational Expressions 8.2 Multiply and Divide Rational Expressions 9

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8.3 Add and Subtract Rational Expressions with a Common Denominator 8.3 Add and Subtract Rational Expressions with a Common Denominator 10

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Chapter 8 Key Terms, Key Concepts, Review Exercises, Practice Test Chapter 8 Key Terms, Key Concepts, Review Exercises, Practice Test 11

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Chapter Readings, Intermediate Algebra Chapter 7 12

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7.3 Simplify Complex Rational Expressions 7.3 Simplify Complex Rational Expressions 13

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7.4 Solve Rational Equations 7.4 Solve Rational Equations 14

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7.5 Solve Applications with Rational Equations 7.5 Solve Applications with Rational Equations 15

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7.6 Solve Rational Inequalities 7.6 Solve Rational Inequalities 16

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Videos for Section 7.6 Videos for Section 7.6 17

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Prerequisite Algebra Mod 9 Radicals; Simplifying Expressions, Solving Equations, Arithmetic, the Complex Number System

Prerequisite Algebra Mod 9 Radicals; Simplifying Expressions, Solving Equations, Arithmetic, the Complex Number System Prerequisite Algebra Mod 9 Radicals; Simplifying Expressions, Solving Equations, Arithmetic, the Complex Number System

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Intermediate Algebra Chapter 8, Lecture Videos and Practice Quizzes Intermediate Algebra Chapter 8, Lecture Videos and Practice Quizzes 3

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Chapter readings, Intermediate Alg. Chapter 8 6

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External Url

8 Introduction 8 Introduction 7

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8.1 Simplify Expressions with Roots 8.1 Simplify Expressions with Roots 8

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8.2 Simplify Radical Expressions 8.2 Simplify Radical Expressions 9

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8.3 Simplify Rational Exponents 8.3 Simplify Rational Exponents 10

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8.4 Add, Subtract, and Multiply Radical Expressions 8.4 Add, Subtract, and Multiply Radical Expressions 11

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8.5 Divide Radical Expressions 8.5 Divide Radical Expressions 12

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8.6 Solve Radical Equations 8.6 Solve Radical Equations 13

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8.7 Use Radicals in Functions 8.7 Use Radicals in Functions 14

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8.8 Use the Complex Number System 8.8 Use the Complex Number System 15

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Videos for Section 8.6 Videos for Section 8.6 16

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Videos for Section 8.8 Videos for Section 8.8 17

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Prerequisite Algebra Mod 10 Quadratic Equations; Graphing, Properties, Completing the Square, Quadratic Formula, Inequalities

Prerequisite Algebra Mod 10 Quadratic Equations; Graphing, Properties, Completing the Square, Quadratic Formula, Inequalities Prerequisite Algebra Mod 10 Quadratic Equations; Graphing, Properties, Completing the Square, Quadratic Formula, Inequalities

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Intermediate Algebra Chapter 9, Lecture Videos and Practice Quizzes Intermediate Algebra Chapter 9, Lecture Videos and Practice Quizzes 1

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Chapter readings, Intermediate Alg. Chapter 9 2

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External Url

9 Introduction 9 Introduction 3

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9.1 Solve Quadratic Equations Using the Square Root Property 9.1 Solve Quadratic Equations Using the Square Root Property 4

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9.2 Solve Quadratic Equations by Completing the Square 9.2 Solve Quadratic Equations by Completing the Square 5

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9.3 Solve Quadratic Equations Using the Quadratic Formula 9.3 Solve Quadratic Equations Using the Quadratic Formula 6

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9.4 Solve Quadratic Equations in Quadratic Form 9.4 Solve Quadratic Equations in Quadratic Form 7

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9.5 Solve Applications of Quadratic Equations 9.5 Solve Applications of Quadratic Equations 8

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9.6 Graph Quadratic Functions Using Properties 9.6 Graph Quadratic Functions Using Properties 9

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9.7 Graph Quadratic Functions Using Transformations 9.7 Graph Quadratic Functions Using Transformations 10

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9.8 Solve Quadratic Inequalities 9.8 Solve Quadratic Inequalities 11

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Videos for Section 9.2 Videos for Section 9.2 12

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Videos for Section 9.3 Videos for Section 9.3 13

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Videos for Section 9.4 Videos for Section 9.4 14

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Videos for Section 9.6 Videos for Section 9.6 15

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Videos for Section 9.7 Videos for Section 9.7 16

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Videos for Section 9.8 Videos for Section 9.8 17

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Prerequisite Algebra Mod 11 Composing Functions, One to One and Inverse Functions, Logarithms

Prerequisite Algebra Mod 11 Composing Functions, One to One and Inverse Functions, Logarithms Prerequisite Algebra Mod 11 Composing Functions, One to One and Inverse Functions, Logarithms

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Intermediate Algebra Chapter 10, Lecture Videos and Practice Quizzes Intermediate Algebra Chapter 10, Lecture Videos and Practice Quizzes 4

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Chapter Readings, Intermediate Algebra Chapter 10 9

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External Url

10 Introduction 10 Introduction 10

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10.1 Finding Composite and Inverse Functions 10.1 Finding Composite and Inverse Functions 11

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10.2 Evaluate and Graph Exponential Functions 10.2 Evaluate and Graph Exponential Functions 12

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10.3 Evaluate and Graph Logarithmic Functions 10.3 Evaluate and Graph Logarithmic Functions 13

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10.4 Use the Properties of Logarithms 10.4 Use the Properties of Logarithms 14

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10.5 Solve Exponential and Logarithmic Equations 10.5 Solve Exponential and Logarithmic Equations 15

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Videos for Section 10.2 Videos for Section 10.2 16

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Videos for Section 10.3 Videos for Section 10.3 17

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Videos for Section 10.4 Videos for Section 10.4 18

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Videos for Section 10.5 Videos for Section 10.5 19

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Prerequisite Algebra Mod 12 Conics; Circles, Parabolas, Ellipses, and Hyperbolas. Solve Systems of Non-Linear Equations

Prerequisite Algebra Mod 12 Conics; Circles, Parabolas, Ellipses, and Hyperbolas. Solve Systems of Non-Linear Equations Prerequisite Algebra Mod 12 Conics; Circles, Parabolas, Ellipses, and Hyperbolas. Solve Systems of Non-Linear Equations

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Intermediate Algebra Chapter 11, Lecture Videos and Practice Quizzes Intermediate Algebra Chapter 11, Lecture Videos and Practice Quizzes 4

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Chapter Readings, Intermediate Algebra Chapter 11 7

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External Url

11 Introduction 11 Introduction 8

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11.1 Distance and Midpoint Formulas; Circles 11.1 Distance and Midpoint Formulas; Circles 9

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11.2 Parabolas 11.2 Parabolas 10

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11.3 Ellipses 11.3 Ellipses 11

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11.4 Hyperbolas 11.4 Hyperbolas 12

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11.5 Solve Systems of Nonlinear Equations 11.5 Solve Systems of Nonlinear Equations 13

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Additional Elementary Algebra Reading Chapter 9: Roots and Radicals

Additional Elementary Algebra Reading Chapter 9: Roots and Radicals Additional Elementary Algebra Reading Chapter 9: Roots and Radicals

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9.4 Multiply Square Roots 9.4 Multiply Square Roots 1

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9.5 Divide Square Roots 9.5 Divide Square Roots 2

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9.6 Solve Equations with Square Roots 9.6 Solve Equations with Square Roots 3

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9.7 Higher Roots 9.7 Higher Roots 4

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9.8 Rational Exponents 9.8 Rational Exponents 5

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Additional Elementary Algebra Reading Chapter 10: Quadratic Equations

Additional Elementary Algebra Reading Chapter 10: Quadratic Equations Additional Elementary Algebra Reading Chapter 10: Quadratic Equations

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Introduction Introduction 1

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10.1 Solve Quadratic Equations Using the Square Root Property 10.1 Solve Quadratic Equations Using the Square Root Property 2

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10.2 Solve Quadratic Equations by Completing the Square 10.2 Solve Quadratic Equations by Completing the Square 3

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10.3 Solve Quadratic Equations Using the Quadratic Formula 10.3 Solve Quadratic Equations Using the Quadratic Formula 4

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10.4 Solve Applications Modeled by Quadratic Equations 10.4 Solve Applications Modeled by Quadratic Equations 5

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10.5 Graphing Quadratic Equations in Two Variables 10.5 Graphing Quadratic Equations in Two Variables 6

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