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Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

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Elementary and Intermediate Algebra Bank Test , Elementary and Intermediate Algebra Textbook , Elementary and Intermediate Algebra PDF , Elementary and Intermediate Algebra eBook , Michael Sullivan, III, Joliet Junior College Katherine R. Struve, Columbus State Community College Janet Mazzarella, Southwestern College

Category : Higher Education

Table of Contents

Chapter 1 — Operations on Real Numbers and Algebraic Expressions 

  1.1  Success in Mathematics

  1.2  The Number Systems and the Real Number Line

  1.3  Adding, Subtracting, Multiplying, and Dividing Integers

  1.4  Adding, Subtracting, Multiplying, and Dividing Rational Numbers Expressed as Fractions and Decimals

  Putting the Concepts Together (Sections 1.1 — 1.4)

  1.5  Properties of Real Numbers

  1.6  Exponents and the Order of Operations

  1.7  Simplifying Algebraic Expressions

  Chapter 1 Activity

  Chapter 1 Review

  Chapter 1 Test

 

Chapter 2-Equations and Inequalities in One Variable 

  2.1  Linear Equations: The Addition and Multiplication Properties of Equality

  2.2  Linear Equations: Using the Properties Together

  2.3  Solving Linear Equations Involving Fractions and Decimals; Classifying Equations

  2.4  Evaluating Formulas and Solving Formulas for a Variable

  Putting the Concepts Together (Sections 2.1 — 2.4)

  2.5  Introduction to Problem Solving:  Direct Translation Problems

  2.6  Problem Solving: Direct Translation Problems Involving Percent

  2.7  Problem Solving:  Geometry and Uniform Motion

  2.8  Solving Inequalities in One Variable

  Chapter 2 Activity

  Chapter 2 Review

  Chapter 2 Test

 

Chapter 3 — Introduction to Graphing and Equations of Lines 

  3.1  The Rectangular Coordinate System and Equations in Two Variables

  3.2  Graphing Equations in Two Variables

  3.3  Slope

  3.4  Slope-Intercept Form of a Line

  3.5  Point-Slope Form of a Line

  3.6  Parallel and Perpendicular Lines

  Putting the Concepts Together (Sections 3.1 — 3.6)

  3.7  Variation

  3.8  Linear Inequalities in Two Variables

  Chapter 3 Activity

  Chapter 3 Review

  Chapter 3 Test

  Cumulative Review Chapters 1-3

 

Chapter 4 — Systems of Linear Equations and Inequalities

  4.1  Solving Systems of Linear Equations in Two Variables by Graphing

  4.2  Solving Systems of Linear Equations in Two Variables Using Substitution

  4.3  Solving Systems of Linear Equations in Two Variables Using Elimination

  Putting the Concepts Together (Sections 4.1 — 4.3)

  4.4  Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations

  4.5  Solving Mixture Problems Using Systems of Linear Equations

  4.6  Systems of Linear Inequalities

  Chapter 4 Activity

  Chapter 4 Review

  Chapter 4 Test

           

Chapter 5 — Exponents and Polynomials 

  5.1  Adding and Subtracting Polynomials

  5.2  Multiplying Monomials: The Product and Power Rules

  5.3  Multiplying Polynomials

  5.4  Dividing Monomials: The Quotient Rule and Integer Exponents

  Putting the Concepts Together (Sections 5.1 — 5.4)

  5.5  Dividing Polynomials

  5.6  Applying Exponent Rules:  Scientific Notation

  Chapter 5Activity

  Chapter 5 Review

  Chapter 5 Test

  Cumulative Review Chapters 1-5

  

Chapter 6 - Factoring Polynomials 

  6.1  Greatest Common Factor  and Factoring by Grouping

  6.2  Factoring Trinomials of the Form x2 + bx + c

  6.3  Factoring Trinomials of the Form ax2 + bx + ca ¿ 1

  6.4  Factoring Special Products

  6.5  Summary of Factoring Techniques

  Putting the Concepts Together (Sections 6.1 — 6.5)

  6.6 Solving Polynomial Equations by Factoring

  6.7 Modeling and Solving Problems with Quadratic Equations

  Chapter 6 Activity

  Chapter 6 Review

  Chapter 6 Test

 

Getting Ready for Intermediate Algebra:  A Cumulative Review of Chapters 1-6

 

Chapter 7 — Rational Expressions and Equations 

  7.1  Simplifying Rational Expressions

  7.2  Multiplying and Dividing Rational Expressions

  7.3  Adding and Subtracting Rational Expressions with a Common Denominators

  7.4  Finding the Least Common Denominator and Forming Equivalent Rational Expressions

  7.5  Adding and Subtracting Rational Expressions with Unlike Denominators

  7.6  Complex Rational Expressions

  Putting the Concepts Together (Sections 7.1 — 7.6)

  7.7  Rational Equations

  7.8  Models Involving Rational Expressions

  Chapter 7 Activity

  Chapter 7 Review

  Chapter 7 Test

  

Getting Ready for Intermediate Algebra:  A Cumulative Review of Chapters 1-7

 

Chapter 8— Graphs, Relations, and Functions 

  8.1 Graphs of Equations

  8.2  Relations

  Putting the Concepts Together (Section 8.1 — 8.2)

  8.3  An Introduction to Functions

  8.4  Functions and Their Graphs

  8.5  Linear Functions

  8.6  Compound Inequalities

  8.7  Absolute Value Equations and Inequalities

  Chapter 8 Activity

  Chapter 8 Review

  Chapter 8 Test

 

Chapter 9- Radicals and Rational Exponents

  9.1  Square Roots

  9.2  nth Roots andRational Exponents

  9.3  Simplify Expressions Using the Laws of Exponents

  9.4  Simplifying Radical Expressions

  9.5  Adding, Subtracting, and Multiplying Radical Expressions

  9.6  Rationalizing Radical Expressions

  Putting the Concepts Together (Sections 9.1 — 9.6)

  9.7  Functions Involving Radicals

  9.8  Radical Equations and Their Applications

  9.9  The Complex Number System

  Chapter 9 Activity

  Chapter 9 Review

  Chapter 9 Test

 

Chapter 10- Quadratic Equations and Functions

  10.1  Solving Quadratic Equations by Completing the Square

  10.2  Solving Quadratic Equations by the Quadratic Formula

  10.3  Solving Equations Quadratic in Form

  Putting the Concepts Together  (Sections 10.1 — 10.3)

  10.4  Graphing Quadratic Functions Using Transformations

  10.5  Graphing Quadratic Functions Using Properties

  10.6  Quadratic Inequalities

  10.7  Rational Inequalities

  Chapter 10 Activity

  Chapter 10 Review

  Chapter 10 Test

  Cumulative Review Chapters 1-10

 

Chapter 11- Exponential and Logarithmic Functions

  11.1  Composite Functions and Inverse Functions

  11.2  Exponential Functions

  11.3  Logarithmic Functions

  Putting the Concepts Together (Sections 11.1 — 11.3)

  11.4  Properties of Logarithms

  11.5  Exponential and Logarithmic Equations

  Chapter 11 Activity

  Chapter 11 Review

  Chapter 11 Test

 

Chapter 12- Conics

  12.1  Distance and Midpoint Formulas

  12.2  Circles

  12.3  Parabolas

  Putting the Concepts Together (Sections 12.1 — 12.3)

  12.4  Ellipses

  12.5  Hyperbolas

  12.6  Nonlinear Systems of Equations

  Chapter 12 Activity

  Chapter 12 Review

  Chapter 12 Test

  Cumulative Review Chapters 1-12

 

Chapter 13- Sequences, Series, and The Binomial Theorem

  13.1  Sequences

  13.2  Arithmetic Sequences

  13.3  Geometric Sequences and Series

  Putting the Concepts Together (Section 13.1 — 13.3)

  13.4  The Binomial Theorem

  Chapter 13 Activity

  Chapter 13 Review

  Chapter 13 Test

 

Appendix A: Review of Fractions, Decimals, and Percents

  A.1  Fractions

  A.2  Decimals and Percents

Appendix B: Division of Polynomials; Synthetic Division

Appendix C: The Library of Functions

Appendix D: Geometry

Appendix E: More on Systems of Equations

  E.1  Systems of Linear Equations in Three Variables

  E.2  Using Matrices to Solve Systems

  E.3  Determinants and Cramer’s Rule

Instalant Download Elementary and Intermediate Algebra by Michael Sullivan, III, Joliet Junior College Katherine R. Struve, Columbus State Community College Janet Mazzarella, Southwestern College ZIP OR PDF

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