Elementary and Intermediate Algebra for College Students

<div class="c-un-numbered-headers-and-contents-list__container"> <ul> <h3>Preface</h3> <ul> <li>To the Student</li> </ul> <ol> <h3>1. Real Numbers</h3> <ul> <li>1.1 Study Skills for Success in Mathematics</li> <li>1.2 Problem Solving</li> <li>1.3 Fractions</li> <li>1.4 The Real Number System</li> <li>1.5 Inequalities <ul> <li>Mid-Chapter Test: Sections 1.1-1.5</li> </ul></li> <li>1.6 Addition of Real Numbers</li> <li>1.7 Subtraction of Real Numbers</li> <li>1.8 Multiplication and Division of Real Numbers</li> <li>1.9 Exponents, Parentheses, and the Order of Operations</li> <li>1.10 Properties of the Real Number System</li> </ul> <ul> <li>Chapter 1 Summary</li> <li>Chapter 1 Review Exercises</li> <li>Chapter 1 Practice Test</li> </ul> <h3>2. Solving Linear Equations and Inequalities</h3> <ul> <li>2.1 Combining Like Terms</li> <li>2.2 The Addition Property of Equality</li> <li>2.3 The Multiplication Property of Equality</li> <li>2.4 Solving Linear Equations with a Variable on Only One Side of the Equation <ul> <li>Mid-Chapter Test: Sections 2.1-2.4</li> </ul></li> <li>2.5 Solving Linear Equations with the Variable on Both Sides of the Equation</li> <li>2.6 Formulas</li> <li>2.7 Ratios and Proportions</li> <li>2.8 Inequalities in One Variable</li> </ul> <ul> <li>Chapter 2 Summary</li> <li>Chapter 2 Review Exercises</li> <li>Chapter 2 Practice Test</li> <li>Cumulative Review Test</li> </ul> <h3>3. Applications of Algebra</h3> <ul> <li>3.1 Changing Application Problems into Equations</li> <li>3.2 Solving Application Problems <ul> <li>Mid-Chapter Test: Sections 3.1-3.2</li> </ul></li> <li>3.3 Geometric Problems</li> <li>3.4 Motion, Money, and Mixture Problems</li> </ul> <ul> <li>Chapter 3 Summary</li> <li>Chapter 3 Review Exercises</li> <li>Chapter 3 Practice Test</li> <li>Cumulative Review Test</li> </ul> <h3>4. Graphing Linear Equations</h3> <ul> <li>4.1 The Cartesian Coordinate System and Linear Equations in Two Variables</li> <li>4.2 Graphing Linear Equations</li> <li>4.3 Slope of a Line <ul> <li>Mid-Chapter Test: Sections 4.1-4.3</li> </ul></li> <li>4.4 Slope-Intercept and Point-Slope Forms of a Linear Equation</li> </ul> <ul> <li>Chapter 4 Summary</li> <li>Chapter 4 Review Exercises</li> <li>Chapter 4 Practice Test</li> <li>Cumulative Review Test</li> </ul> <h3>5. Exponents and Polynomials</h3> <ul> <li>5.1 Exponents</li> <li>5.2 Negative Exponents</li> <li>5.3 Scientific Notation <ul> <li>Mid-Chapter Test: Sections 5.1-5.3</li> </ul></li> <li>5.4 Addition and Subtraction of Polynomials</li> <li>5.5 Multiplication of Polynomials</li> <li>5.6 Division of Polynomials</li> </ul> <ul> <li>Chapter 5 Summary</li> <li>Chapter 5 Review Exercises</li> <li>Chapter 5 Practice Test</li> <li>Cumulative Review Test</li> </ul> <h3>6. Factoring</h3> <ul> <li>6.1 Factoring a Monomial from a Polynomial</li> <li>6.2 Factoring by Grouping</li> <li>6.3 Factoring Trinomials of the Form <cite>ax</cite><cite>²</cite> + <cite>bx</cite> + <cite>c</cite>, <cite>a</cite> = 1</li> <li>6.4 Factoring Trinomials of the Form <cite>ax</cite><cite>²</cite> + <cite>bx</cite> + <cite>c</cite>, <cite>a</cite> ≠ 1 <ul> <li>Mid-Chapter Test: Sections 6.1-6.4</li> </ul></li> <li>6.5 Special Factoring Formulas and a General Review of Factoring</li> <li>6.6 Solving Quadratic Equations Using Factoring</li> <li>6.7 Applications of Quadratic Equations</li> </ul> <ul> <li>Chapter 6 Summary</li> <li>Chapter 6 Review Exercises</li> <li>Chapter 6 Practice Test</li> <li>Cumulative Review Test</li> </ul> <h3>7. Rational Expressions and Equations</h3> <ul> <li>7.1 Simplifying Rational Expressions</li> <li>7.2 Multiplication and Division of Rational Expressions</li> <li>7.3 Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator</li> <li>7.4 Addition and Subtraction of Rational Expressions <ul> <li>Mid-Chapter Test: Sections 7.1-7.4</li> </ul></li> <li>7.5 Complex Fractions</li> <li>7.6 Solving Rational Equations</li> <li>7.7 Rational Equations: Applications and Problem Solving</li> <li>7.8 Variation</li> </ul> <ul> <li>Chapter 7 Summary</li> <li>Chapter 7 Review Exercises</li> <li>Chapter 7 Practice Test</li> <li>Cumulative Review Test</li> </ul> <h3>8. Functions and Their Graphs</h3> <ul> <li>8.1 More on Graphs</li> <li>8.2 Functions</li> <li>8.3 Linear Functions <ul> <li>Mid-Chapter Test: Sections 8.1-8.3</li> </ul></li> <li>8.4 Slope, Modeling, and Linear Relationships</li> <li>8.5 The Algebra of Functions</li> </ul> <ul> <li>Chapter 8 Summary</li> <li>Chapter 8 Review Exercises</li> <li>Chapter 8 Practice Test</li> <li>Cumulative Review Test</li> </ul> <h3>9. Systems of Linear Equations</h3> <ul> <li>9.1 Solving Systems of Equations Graphically</li> <li>9.2 Solving Systems of Equations by Substitution</li> <li>9.3 Solving Systems of Equations by the Addition Method</li> <li>9.4 Solving Systems of Linear Equations in Three Variables <ul> <li>Mid-Chapter Test: Sections 9.1-9.4</li> </ul></li> <li>9.5 Systems of Linear Equations: Applications and Problem Solving</li> <li>9.6 Solving Systems of Equations Using Matrices</li> <li>9.7 Solving Systems of Equations Using Determinants and Cramer’s Rule</li> </ul> <ul> <li>Chapter 9 Summary</li> <li>Chapter 9 Review Exercises</li> <li>Chapter 9 Practice Test</li> <li>Cumulative Review Test</li> </ul> <h3>10. Inequalities in One and Two Variables</h3> <ul> <li>10.1 Solving Linear Inequalities in One Variable</li> <li>10.2 Solving Equations and Inequalities Containing Absolute Values <ul> <li>Mid-Chapter Test: Sections 10.1-10.2</li> </ul></li> <li>10.3 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities</li> </ul> <ul> <li>Chapter 10 Summary</li> <li>Chapter 10 Review Exercises</li> <li>Chapter 10 Practice Test</li> <li>Cumulative Review Test</li> </ul> <h3>11. Roots, Radicals, and Complex Numbers</h3> <ul> <li>11.1 Roots and Radicals</li> <li>11.2 Rational Exponents</li> <li>11.3 Simplifying Radicals</li> <li>11.4 Adding, Subtracting, and Multiplying Radicals <ul> <li>Mid-Chapter Test: Sections 11.1-11.4</li> </ul></li> <li>11.5 Dividing Radicals</li> <li>11.6 Solving Radical Equations</li> <li>11.7 Complex Numbers</li> </ul> <ul> <li>Chapter 11 Summary</li> <li>Chapter 11 Review Exercises</li> <li>Chapter 11 Practice Test</li> <li>Cumulative Review Test</li> </ul> <h3>12. Quadratic Functions</h3> <ul> <li>12.1 Solving Quadratic Equations by Completing the Square</li> <li>12.2 Solving Quadratic Equations by the Quadratic Formula</li> <li>12.3 Quadratic Equations: Applications and Problem Solving <ul> <li>Mid-Chapter Test: Sections 12.1-12.3</li> </ul></li> <li>12.4 Factoring Expressions and Solving Equations That Are Quadratic in Form</li> <li>12.5 Graphing Quadratic Functions</li> <li>12.6 Quadratic, Polynomial, and Rational Inequalities in One Variable</li> </ul> <ul> <li>Chapter 12 Summary</li> <li>Chapter 12 Review Exercises</li> <li>Chapter 12 Practice Test</li> <li>Cumulative Review Test</li> </ul> <h3>13. Exponential and Logarithmic Functions</h3> <ul> <li>13.1 Composite and Inverse Functions</li> <li>13.2 Exponential Functions</li> <li>13.3 Logarithmic Functions</li> <li>13.4 Properties of Logarithms <ul> <li>Mid-Chapter Test: Sections 13.1-13.4</li> </ul></li> <li>13.5 Common Logarithms</li> <li>13.6 Exponential and Logarithmic Equations</li> <li>13.7 Natural Exponential and Natural Logarithmic Functions</li> </ul> <ul> <li>Chapter 13 Summary</li> <li>Chapter 13 Review Exercises</li> <li>Chapter 13 Practice Test</li> <li>Cumulative Review Test</li> </ul> <h3>14. Conic Sections</h3> <ul> <li>14.1 The Parabola and the Circle</li> <li>14.2 The Ellipse <ul> <li>Mid-Chapter Test: Sections 14.1-14.2</li> </ul></li> <li>14.3 The Hyperbola</li> <li>14.4 Nonlinear Systems of Equations and Their Applications</li> </ul> <ul> <li>Chapter 14 Summary</li> <li>Chapter 14 Review Exercises</li> <li>Chapter 14 Practice Test</li> <li>Cumulative Review Test</li> </ul> <h3>15. Sequences, Series, and the Binomial Theorem</h3> <ul> <li>15.1 Sequences and Series</li> <li>15.2 Arithmetic Sequences and Series</li> <li>15.3 Geometric Sequences and Series <ul> <li>Mid-Chapter Test: Sections 15.1-15.3</li> </ul></li> <li>15.4 The Binomial Theorem</li> </ul> <ul> <li>Chapter 15 Summary</li> <li>Chapter 15 Review Exercises</li> <li>Chapter 15 Practice Test</li> <li>Cumulative Review Test</li> </ul> </ol> <h3>APPENDICES</h3> <ul> <li>A. Review of Decimals and Percent</li> <li>B. Finding the Greatest Common Factor and Least Common Denominator</li> <li>C. Geometry</li> <li>D. Review of Exponents, Polynomials, and Factoring</li> <h4 class="h5">Answers</h4> <h4 class="h5">Applications Index</h4> <h4 class="h5">Subject Index</h4> </ul> </ul> </div>