Chapter R: Prealgebra Review R.1 Factors and the Least Common MultipleR.2 Fractions R.3 Decimals and Percents Chapter 1: Real Numbers and Introduction to Algebra 1.1 Tips for Success in Mathematics 1.2 Symbols and Sets of Numbers 1.3 Exponents, Order of Operations, and Variable Expressions 1.4 Adding Real Number 1.5 Subtracting Real Numbers Integrated Review 1.6 Multiplying and Dividing Real Numbers 1.7 Properties of Real Numbers 1.8 Simplifying Expressions Chapter 2: Equations, Inequalities, and Problem Solving 2.1 The Addition Property of Equality 2.2 The Multiplication Property of Equality 2.3 Further Solving Linear Equations Integrated Review 2.4 An Introduction to Problem Solving 2.5 Formulas and Problem Solving 2.6 Percent and Mixture Problem Solving 2.7 Linear Inequalities and Problem Solving Chapter 3: Graphing Equations and Inequalities 3.1 Reading Graphs and The Rectangular Coordinate System 3.2 Graphing Linear Equations 3.3 Intercepts 3.4 Slope and Rate of Change Integrated Review 3.5 Equations of Lines 3.6 Graphing Linear Inequalities in Two Variables Chapter 4: Systems of Equations 4.1 Solving Systems of Linear Equations by Graphing 4.2 Solving Systems of Linear Equations by Substitution 4.3 Solving Systems of Linear Equations by Addition Integrated Review 4.4 Systems of Linear Equations and Problem Solving Chapter 5: Exponents and Polynomials 5.1 Exponents 5.2 Negative Exponents and Scientific Notation5.3 Introduction to Polynomials 5.4 Adding and Subtracting Polynomials 5.5 Multiplying Polynomials 5.6 Special Products Integrated Review 5.7 Dividing Polynomials Chapter 6: Factoring Polynomials 6.1 The Greatest Common Factor 6.2 Factoring Trinomials of the Form x2 + bx + c6.3 Factoring Trinomials of the Form ax2 + bx + c 6.4 Factoring Trinomials of the Form ax2 + bx + c by coupling6.5 Factoring by Special Products Integrated Review 6.6 Solving Quadratic Equations by Factoring6.7 Quadratic Equations and Problem Solving Chapter 7: Rational Expressions 7.1 Simplifying Rational Expressions 7.2 Multiplying and Dividing Rational Expressions 7.3 Adding and Subtracting Rational Expressions with the SameDenominator and Least Common Denominator7.4 Adding and Subtracting Rational Expressions with Different Denominators7.5 Solving Equations Containing Rational Expressions Integrated Review 7.6 Proportions and Problem Solving with Rational Equations 7.7 Simplifying Complex Fractions Chapter 8: Graphs and Functions 8.1 Review of Equations of Lines and Writing Parallel and Perpendicular Lines 8.2 Introduction to Functions 8.3 Polynomial and Rational FunctionsIntegrated Review 8.4 Interval Notation, Finding Domains and Ranges from Graphs and Graphing Piecewise-Defined Functions 8.5 Shifting and Reflecting Graphs of Functions Chapter 9: Systems of Equations and Inequalities and Variation9.1 Solving Systems of Linear Equations in Three Variables and Problem Solving9.2 Solving Systems of Equations Using MatricesIntegrated Review9.3 Systems of Linear InequalitiesVariation and Problem Solving Chapter 10: Rational Exponents, Radicals, and Complex Numbers 10.1 Radical Expressions and Radical Functions10.2 Rational Exponents 10.3 Simplifying Radical Expressions 10.4 Adding, Subtracting, and Multiplying Radical Expressions 10.5 Rationalizing Numerators and Denominators of Radical Expressions Integrated Review10.6 Radical Equations and Problem Solving10.7 Complex Numbers Chapter 11: Quadratic Equations and Functions11.1 Solving Quadratic Equations by Completing the Square 11.2 Solving Quadratic Equations by Using the Quadratic Formula 11.3 Solving Equations by Using Quadratic Methods Integrated Review 11.4 Nonlinear Inequalities in One Variable 11.5 Quadratic Functions and Their Graphs 11.6 Further Graphing of Quadratic Functions Chapter 12: Exponential and Logarithmic Functions 12.1 The Algebra of Functions 12.2 Inverse Functions 12.3 Exponential Functions 12.4 Exponential Growth and Decay Functions12.5 Logarithmic FunctionsIntegrated Review 12.6 Properties of Logarithms 12.7 Common Logarithms, Natural Logarithms, and Change of Base 12.8 Exponential and Logarithmic Equations and Problem Solving Chapter 13: Conic Sections 13.1 The Parabola and the Circle 13.2 The Ellipse and the Hyperbola Integrated Review 13.3 Solving Nonlinear Systems of Equations13.4 Nonlinear Inequalities and Systems of Inequalities AppendicesA Transition Review: Exponents, Polynomials, and Factoring StrategiesB. Transition Review: Solving Linear and Quadratic EquationsC. Sets and Compound InequalitiesD. Absolute Value Equations and InequalitiesE. Determinants and Cramer's RuleF. Review of Angles, Lines, and Special TrianglesG. Stretching and Compressing Graphs of Absolute Value FunctionsH. An Introduction to Using a Graphing Utility Student ResourcesStudy Skills BuildersBigger Picture Study Guide OutlinePractice Final ExamAnswers to Selected Exercises