Beginning & Intermediate Algebra

<div class="c-section-headers-number-list_container"> <h4 class="h5">Preface</h4> <h4 class="h5">Diagnostic Pretest</h4> <h3>0. Prealgebra Review</h3> <ul> <li>Career Opportunities</li> <li>0.1 Simplifying Fractions</li> <li>0.2 Adding and Subtracting Fractions</li> <li>0.3 Multiplying and Dividing Fractions</li> <li>0.4 Using Decimals Use Math to Save Money</li> <li>0.5 Percents, Rounding, and Estimating</li> <li>0.6 Using the Mathematics Blueprint for Problem Solving Career Exploration Problems</li> <li>Chapter 0 Organizer</li> <li>Chapter 0 Review Problems</li> <li>How Am I Doing? Chapter 0 Test</li> <li>Math Coach</li> </ul> <h3>1. Real Numbers and Variables</h3> <ul> <li>Career Opportunities</li> <li>1.1 Adding Real Numbers</li> <li>1.2 Subtracting Real Numbers</li> <li>1.3 Multiplying and Dividing Real Numbers</li> <li>1.4 Exponents</li> <li>1.5 The Order of Operations Use Math to Save Money</li> <li>1.6 Using the Distributive Property to Simplify Algebraic Expressions</li> <li>1.7 Combining Like Terms</li> <li>1.8 Using Substitution to Evaluate Algebraic Expressions and Formulas</li> <li>1.9 Grouping Symbols Career Exploration Problems</li> <li>Chapter 1 Organizer</li> <li>Chapter 1 Review Problems</li> <li>How Am I Doing? Chapter 1 Test</li> <li>Math Coach</li> </ul> <h3>2. Equations, Inequalities, and Applications</h3> <ul> <li>Career Opportunities</li> <li>2.1 The Addition Principle of Equality</li> <li>2.2 The Multiplication Principle of Equality</li> <li>2.3 Using the Addition and Multiplication Principles Together</li> <li>2.4 Solving Equations with Fractions Use Math to Save Money</li> <li>2.5 Translating English Phrases into Algebraic Expressions</li> <li>2.6 Using Equations to Solve Word Problems</li> <li>2.7 Solving Word Problems: The Value of Money and Percents</li> <li>2.8 Solving Inequalities in One Variable Career Exploration Problems</li> <li>Chapter 2 Organizer</li> <li>Chapter 2 Review Problems</li> <li>How Am I Doing? Chapter 2 Test</li> <li>Math Coach</li> </ul> <h3>3. Graphing and Functions</h3> <ul> <li>Career Opportunities</li> <li>3.1 The Rectangular Coordinate System</li> <li>3.2 Graphing Linear Equations</li> <li>3.3 The Slope of a Line Use Math to Save Money</li> <li>3.4 Writing the Equation of a Line</li> <li>3.5 Graphing Linear Inequalities</li> <li>3.6 Functions Career Exploration Problems</li> <li>Chapter 3 Organizer</li> <li>Chapter 3 Review Problems</li> <li>How Am I Doing? Chapter 3 Test</li> <li>Math Coach</li> <li>Cumulative Test for Chapters 0-3</li> </ul> <h3>4. Systems of Linear Equations and Inequalities</h3> <ul> <li>Career Opportunities</li> <li>4.1 Systems of Linear Equations in Two Variables</li> <li>4.2 Systems of Linear Equations in Three Variables Use Math to Save Money</li> <li>4.3 Applications of Systems of Linear Equations</li> <li>4.4 Systems of Linear Inequalities Career Exploration Problems</li> <li>Chapter 4 Organizer</li> <li>Chapter 4 Review Problems</li> <li>How Am I Doing? Chapter 4 Test</li> <li>Math Coach</li> </ul> <h3>5. Exponents and Polynomials</h3> <ul> <li>Career Opportunities</li> <li>5.1 The Rules of Exponents</li> <li>5.2 Negative Exponents and Scientific Notation</li> <li>5.3 Fundamental Polynomial Operations Use Math to Save Money</li> <li>5.4 Multiplying Polynomials</li> <li>5.5 Multiplication: Special Cases</li> <li>5.6 Dividing Polynomials Career Exploration Problems</li> <li>Chapter 5 Organizer</li> <li>Chapter 5 Review Problems</li> <li>How Am I Doing? Chapter 5 Test</li> <li>Math Coach</li> </ul> <h3>6. Factoring</h3> <ul> <li>Career Opportunities</li> <li>6.1 Removing a Common Factor</li> <li>6.2 Factoring by Grouping</li> <li>6.3 Factoring Trinomials of the Form x² + bx + c</li> <li>6.4 Factoring Trinomials of the Form ax² + bx + c Use Math to Save Money</li> <li>6.5 Special Cases of Factoring</li> <li>6.6 A Brief Review of Factoring</li> <li>6.7 Solving Quadratic Equations by Factoring Career Exploration Problems</li> <li>Chapter 6 Organizer</li> <li>Chapter 6 Review Problems</li> <li>How Am I Doing? Chapter 6 Test</li> <li>Math Coach</li> <li>Cumulative Test for Chapters 0-6</li> </ul> <h3>7. Rational Expressions and Equations</h3> <ul> <li>Career Opportunities</li> <li>7.1 Simplifying Rational Expressions</li> <li>7.2 Multiplying and Dividing Rational Expressions</li> <li>7.3 Adding and Subtracting Rational Expressions Use Math to Save Money</li> <li>7.4 Simplifying Complex Rational Expressions</li> <li>7.5 Solving Equations Involving Rational Expressions</li> <li>7.6 Ratio, Proportion, and Other Applied Problems Career Exploration Problems</li> <li>Chapter 7 Organizer</li> <li>Chapter 7 Review Problems</li> <li>How Am I Doing? Chapter 7 Test</li> <li>Math Coach</li> </ul> <h3>T. A Transition from Beginning to Intermediate Algebra</h3> <ul> <li>T.1 Integer Exponents, Square Roots, Order of Operations, and Scientific Notation</li> <li>T.2 Polynomial Operations</li> <li>T.3 Factoring Polynomials</li> <li>T.4 Special Cases of Factoring</li> <li>T.5 The Point-Slope Form of a Line</li> </ul> <h3>8. Rational Exponents and Radicals</h3> <ul> <li>Career Opportunities</li> <li>8.1 Rational Exponents</li> <li>8.2 Radical Expressions and Functions</li> <li>8.3 Simplifying, Adding, and Subtracting Radicals</li> <li>8.4 Multiplying and Dividing Radicals Use Math to Save Money</li> <li>8.5 Radical Equations</li> <li>8.6 Complex Numbers</li> <li>8.7 Variation Career Exploration Problems</li> <li>Chapter 8 Organizer</li> <li>Chapter 8 Review Problems</li> <li>How Am I Doing? Chapter 8 Test</li> <li>Math Coach</li> </ul> <h3>9. Quadratic Equations and Inequalities</h3> <ul> <li>Career Opportunities</li> <li>9.1 Quadratic Equations</li> <li>9.2 The Quadratic Formula and Solutions to Quadratic Equations</li> <li>9.3 Equations That Can Be Transformed into Quadratic Form Use Math to Save Money</li> <li>9.4 Formulas and Applications</li> <li>9.5 Quadratic Functions</li> <li>9.6 Compound and Quadratic Inequalities</li> <li>9.7 Absolute Value Equations and Inequalities Career Exploration Problems</li> <li>Chapter 9 Organizer</li> <li>Chapter 9 Review Problems</li> <li>How Am I Doing? Chapter 9 Test</li> <li>Math Coach</li> <li>Cumulative Test for Chapters 0-9</li> </ul> <h3>10. The Conic Sections</h3> <ul> <li>Career Opportunities</li> <li>10.1 The Distance Formula and the Circle</li> <li>10.2 The Parabola</li> <li>10.3 The Ellipse Use Math to Save Money</li> <li>10.4 The Hyperbola</li> <li>10.5 Nonlinear Systems of Equations Career Exploration Problems</li> <li>Chapter 10 Organizer</li> <li>Chapter 10 Review Problems</li> <li>How Am I Doing? Chapter 10 Test</li> <li>Math Coach</li> </ul> <h3>11. Additional Properties of Functions</h3> <ul> <li>Career Opportunities</li> <li>11.1 Function Notation</li> <li>11.2 General Graphing Procedures for Functions Use Math to Save Money</li> <li>11.3 Algebraic Operations on Functions</li> <li>11.4 Inverse of a Function Career Exploration Problems</li> <li>Chapter 11 Organizer</li> <li>Chapter 11 Review Problems</li> <li>How Am I Doing? Chapter 11 Test</li> <li>Math Coach</li> </ul> <h3>12. Logarithmic and Exponential Functions</h3> <ul> <li>Career Opportunities</li> <li>12.1 The Exponential Function</li> <li>12.2 The Logarithmic Function</li> <li>12.3 Properties of Logarithms Use Math to Save Money</li> <li>12.4 Common Logarithms, Natural Logarithms, and Change of Base of Logarithms</li> <li>12.5 Exponential and Logarithmic Equations Career Exploration Problems</li> <li>Chapter 12 Organizer</li> <li>Chapter 12 Review Problems</li> <li>How Am I Doing? Chapter 12 Test</li> <li>Math Coach</li> <li>Practice Final Examination</li> </ul> <h3>Appendices</h3> <ul> <li>A: Practice with Operations of Whole Numbers</li> <li>B: Determinants and Cramer's Rule</li> <li>C: Solving Systems of Linear Equations Using Matrices</li> <li>D: Sets</li> </ul> <h4 class="h5">Solutions to Student Practice Problems</h4> <h4 class="h5">Answers to Selected Exercises</h4> <h4 class="h5">Beginning and Intermediate Algebra Glossary</h4> <h4 class="h5">Photo Credits</h4> <h4 class="h5">Subject Index</h4> <h4 class="h5">Index of Applications</h4> </div>