Beginning & Intermediate Algebra

<div class="c-un-numbered-headers-and-contents-list__container"> <ul> <li>Study Skill 1: Using Your Math Text</li> <li>Study Skill 2: Reading Your Math Text</li> <li>Study Skill 3: Taking Lecture Notes</li> <li>Study Skill 4: Completing Your Homework</li> <li>Study Skill 5: Using Study Cards</li> <li>Study Skill 6: Managing Your Time</li> <li>Study Skill 7: Reviewing a Chapter</li> <li>Study Skill 8: Taking Math Tests</li> <li>Study Skill 9: Analyzing Your Test Results</li> <li>Study Skill 10: Preparing for Your Math Final</li> </ul> <h3>R. Prealgebra Review</h3> <ul> <li>R.1 Fractions</li> <li>R.2 Decimals and Percents</li> </ul> <h3>1. The Real Number System</h3> <ul> <li>1.1 Exponents, Order of Operations, and Inequality</li> <li>1.2 Variables, Expressions, and Equations</li> <li>1.3 Real Numbers and the Number Line</li> <li>1.4 Adding and Subtracting Real Numbers</li> <li>1.5 Multiplying and Dividing Real Numbers</li> <li>Summary Exercises: Performing Operations with Real Numbers</li> <li>1.6 Properties of Real Numbers</li> <li>1.7 Simplifying Expressions</li> <li>Chapter 1 Summary</li> <li>Chapter 1 Review Exercises</li> <li>Chapter 1 Mixed Review Exercises</li> <li>Chapter 1 Test</li> <li>Chapters R and 1 Cumulative Review Exercises</li> </ul> <h3>2. Linear Equations and Inequalities in One Variable</h3> <ul> <li>2.1 The Addition Property of Equality</li> <li>2.2 The Multiplication Property of Equality</li> <li>2.3 Solving Linear Equations Using Both Properties of Equality</li> <li>2.4 Clearing Fractions and Decimals When Solving Linear Equations</li> <li>Summary Exercises: Applying Methods for Solving Linear Equations</li> <li>2.5 Applications of Linear Equations</li> <li>2.6 Formulas and Additional Applications from Geometry</li> <li>2.7 Ratio, Proportion, and Percent</li> <li>2.8 Further Applications of Linear Equations</li> <li>2.9 Solving Linear Inequalities</li> <li>Chapter 2 Summary</li> <li>Chapter 2 Review Exercises</li> <li>Chapter 2 Mixed Review Exercises</li> <li>Chapter 2 Test</li> <li>Chapters R-2 Cumulative Review Exercises</li> </ul> <h3>3. Linear Equations in Two Variables</h3> <ul> <li>3.1 Linear Equations and Rectangular Coordinates</li> <li>3.2 Graphing Linear Equations in Two Variables</li> <li>3.3 The Slope of a Line</li> <li>3.4 Slope-Intercept Form of a Linear Equation</li> <li>3.5 Point-Slope Form of a Linear Equation and Modeling</li> <li>Summary Exercises: Applying Graphing and Equation-Writing Techniques for Lines</li> <li>Chapter 3 Summary</li> <li>Chapter 3 Review Exercises</li> <li>Chapter 3 Mixed Review Exercises</li> <li>Chapter 3 Test</li> <li>Chapters R-3 Cumulative Review Exercises</li> </ul> <h3>4. Exponents and Polynomials</h3> <ul> <li>4.1 The Product Rule and Power Rules for Exponents</li> <li>4.2 Integer Exponents and the Quotient Rule</li> <li>Summary Exercises: Applying the Rules for Exponents</li> <li>4.3 Scientific Notation</li> <li>4.4 Adding, Subtracting, and Graphing Polynomials</li> <li>4.5 Multiplying Polynomials</li> <li>4.6 Special Products</li> <li>4.7 Dividing Polynomials</li> <li>Chapter 4 Summary</li> <li>Chapter 4 Review Exercises</li> <li>Chapter 4 Mixed Review Exercises</li> <li>Chapter 4 Test</li> <li>Chapters R-4 Cumulative Review Exercises</li> </ul> <h3>5. Factoring and Applications</h3> <ul> <li>5.1 Greatest Common Factor; Factoring by Grouping</li> <li>5.2 Factoring Trinomials</li> <li>5.3 More on Factoring Trinomials</li> <li>5.4 Special Factoring Techniques</li> <li>Summary Exercises: Recognizing and Applying Factoring Strategies</li> <li>5.5 Solving Quadratic Equations Using the Zero-Factor Property</li> <li>5.6 Applications of Quadratic Equations</li> <li>Chapter 5 Summary</li> <li>Chapter 5 Review Exercises</li> <li>Chapter 5 Mixed Review Exercises</li> <li>Chapter 5 Test</li> <li>Chapters R-5 Cumulative Review Exercises</li> </ul> <h3>6. Rational Expressions and Applications</h3> <ul> <li>6.1 The Fundamental Property of Rational Expressions</li> <li>6.2 Multiplying and Dividing Rational Expressions</li> <li>6.3 Least Common Denominators</li> <li>6.4 Adding and Subtracting Rational Expressions</li> <li>6.5 Complex Fractions</li> <li>6.6 Solving Equations with Rational Expressions</li> <li>Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations</li> <li>6.7 Applications of Rational Expressions</li> <li>Chapter 6 Summary</li> <li>Chapter 6 Review Exercises</li> <li>Chapter 6 Mixed Review Exercises</li> <li>Chapter 6 Test</li> <li>Chapters R-6 Cumulative Review Exercises</li> </ul> <h3>7. Linear Equations, Graphs, and Systems</h3> <ul> <li>7.1 Review of Graphs and Slopes of Lines</li> <li>7.2 Review of Equations of Lines; Linear Models</li> <li>7.3 Solving Systems of Linear Equations by Graphing</li> <li>7.4 Solving Systems of Linear Equations by Substitution</li> <li>7.5 Solving Systems of Linear Equations by Elimination</li> <li>Summary Exercises: Applying Techniques for Solving Systems of Linear Equations</li> <li>7.6 Systems of Linear Equations in Three Variables</li> <li>7.7 Applications of Systems of Linear Equations</li> <li>Chapter 7 Summary</li> <li>Chapter 7 Review Exercises</li> <li>Chapter 7 Mixed Review Exercises</li> <li>Chapter 7 Test</li> <li>Chapters R-7 Cumulative Review Exercises</li> </ul> <h3>8. Inequalities and Absolute Value</h3> <ul> <li>8.1 Review of Linear Inequalities in One Variable</li> <li>8.2 Set Operations and Compound Inequalities</li> <li>8.3 Absolute Value Equations and Inequalities</li> <li>Summary Exercises: Solving Linear and Absolute Value Equations and Inequalities</li> <li>8.4 Linear Inequalities and Systems in Two Variables</li> <li>Chapter 8 Summary</li> <li>Chapter 8 Review Exercises</li> <li>Chapter 8 Mixed Review Exercises</li> <li>Chapter 8 Test</li> <li>Chapters R-8 Cumulative Review Exercises</li> </ul> <h3>9. Relations and Functions</h3> <ul> <li>9.1 Introduction to Relations and Functions</li> <li>9.2 Function Notation and Linear Functions</li> <li>9.3 Polynomial Functions, Operations, and Composition</li> <li>9.4 Variation</li> <li>Chapter 9 Summary</li> <li>Chapter 9 Review Exercises</li> <li>Chapter 9 Mixed Review Exercises</li> <li>Chapter 9 Test</li> <li>Chapters R-9 Cumulative Review Exercises</li> </ul> <h3>10. Roots, Radicals, and Root Functions</h3> <ul> <li>10.1 Radical Expressions and Graphs</li> <li>10.2 Rational Exponents</li> <li>10.3 Simplifying Radicals, the Distance Formula, and Circles</li> <li>10.4 Adding and Subtracting Radical Expressions</li> <li>10.5 Multiplying and Dividing Radical Expressions</li> <li>Summary Exercises: Performing Operations with Radicals and Rational Exponents</li> <li>10.6 Solving Equations with Radicals</li> <li>10.7 Complex Numbers</li> <li>Chapter 10 Summary</li> <li>Chapter 10 Review Exercises</li> <li>Chapter 10 Mixed Review Exercises</li> <li>Chapter 10 Test</li> <li>Chapters R-10 Cumulative Review Exercises</li> </ul> <h3>11. Quadratic Equations, Inequalities, and Functions</h3> <ul> <li>11.1 Solving Quadratic Equations by the Square Root Property</li> <li>11.2 Solving Quadratic Equations by Completing the Square</li> <li>11.3 Solving Quadratic Equations by the Quadratic Formula</li> <li>11.4 Equations That Lead to Quadratic Methods</li> <li>Summary Exercises: Applying Methods for Solving Quadratic Equations</li> <li>11.5 Formulas and Further Applications</li> <li>11.6 Graphs of Quadratic Functions</li> <li>11.7 More about Parabolas and Their Applications</li> <li>11.8 Polynomial and Rational Inequalities</li> <li>Chapter 11 Summary</li> <li>Chapter 11 Review Exercises</li> <li>Chapter 11 Mixed Review Exercises</li> <li>Chapter 11 Test</li> <li>Chapters R-11 Cumulative Review Exercises</li> </ul> <h3>12. Inverse, Exponential, and Logarithmic Functions</h3> <ul> <li>12.1 Inverse Functions</li> <li>12.2 Exponential Functions</li> <li>12.3 Logarithmic Functions</li> <li>12.4 Properties of Logarithms</li> <li>12.5 Common and Natural Logarithms</li> <li>12.6 Exponential and Logarithmic Equations; Further Applications</li> <li>Chapter 12 Summary</li> <li>Chapter 12 Review Exercises</li> <li>Chapter 12 Mixed Review Exercises</li> <li>Chapter 12 Test</li> <li>Chapters R-12 Cumulative Review Exercises</li> </ul> <h3>13. Nonlinear Functions, Conic Sections, and Nonlinear Systems</h3> <ul> <li>13.1 Additional Graphs of Functions</li> <li>13.2 Circles Revisited and Ellipses</li> <li>13.3 Hyperbolas and Functions Defined by Radicals</li> <li>13.4 Nonlinear Systems of Equations</li> <li>13.5 Second-Degree Inequalities and Systems of Inequalities</li> <li>Chapter 13 Summary</li> <li>Chapter 13 Review Exercises</li> <li>Chapter 13 Mixed Review Exercises</li> <li>Chapter 13 Test</li> <li>Chapters R-13 Cumulative Review Exercises</li> </ul> <h3>14. Further Topics in Algebra</h3> <ul> <li>14.1 Sequences and Series</li> <li>14.2 Arithmetic Sequences</li> <li>14.3 Geometric Sequences</li> <li>14.4 The Binomial Theorem</li> <li>Chapter 14 Summary</li> <li>Chapter 14 Review Exercises</li> <li>Chapter 14 Mixed Review Exercises</li> <li>Chapter 14 Test</li> <li>Chapters R-14 Cumulative Review Exercises</li> </ul> </div>