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Preface Chapter 1: The Whole Numbers 1.1: Introduction to the Interactive Assignment 1.2: Place Value, Names for Numbers, and Reading Tables 1.3: Adding and Subtracting Whole Numbers, and Perimeter 1.4: Rounding and Estimating 1.5: Multiplying Whole Number and Area 1.6: Dividing Whole Numbers 1.7: Exponents and Order of Operations 1.8: Introduction to Variables, Algebraic Expressions, and Equations Chapter 1 Review and Practice Chapter 2: Integers and Introduction to Solving Equations 2.1: Introduction to Integers 2.2: Adding Integers 2.3: Subtracting Integers 2.4: Multiplying and Dividing Integers 2.5: Order of Operations 2.6: Solving Equations: The Addition and Multiplication Properties Chapter 2 Review and Practice Chapter 3: Solving Equations and Problem Solving 3.1: Simplifying Algebraic Expressions 3.2: Solving Equations: Review of the Addition and Multiplication Properties 3.3: Solving Linear Equations in One Variable 3.4: Linear Equations in One Variable and Problem Solving Chapter 3 Review and Practice Chapter 4: Fractions and Mixed Numbers 4.1: Introductions to Fractions and Mixed Numbers 4.2: Factors and Simplest Form 4.3: Multiplying and Dividing Fractions 4.4: Adding and Subtracting Like Fractions, Least Common Denominator, and Equivalent Fractions 4.5: Adding and Subtracting Unlike Fractions 4.6: Complex Fractions and Review of Order of Operations 4.7: Operations and Mixed Numbers 4.8: Solving Equations Containing Fractions Chapter 4 Review and Practice Chapter 5: Decimals 5.1: Introduction to Decimals 5.2: Adding and Subtracting Decimals 5.3: Multiplying Decimals and Circumference of a Circle 5.4: Dividing Decimals 5.5: Fractions, Decimals, and Order of Operations 5.6: Solving Equations Containing Decimals 5.7: Decimal Applications: Mean, Median, and Mode Chapter 5 Review and Practice Chapter 6: Ratio, Proportion, and Percent 6.1: Ratio and Proportion 6.2: Percents, Decimals, and Fractions 6.3: Solving Percent Problems with Equations 6.4: Solving Percent Problems with Proportions 6.5: Applications of Percent 6.6: Percent and Problem Solving: Sales Tax, Commission, and Discount 6.7: Percent and Problem Solving: Interest Chapter 6 Review and Practice Chapter 7: Graphs, Triangle Applications, and Introduction to Statistics and Probability 7.1: Pictographs, Bar Graphs, Histograms, Line Graphs, and Introduction to Statistics 7.2: Circle Graphs 7.3: Square Roots and the Pythagorean Theorem 7.4: Congruent and Similar Triangles 7.5: Counting and Introduction to Probability Chapter 7 Review and Practice Chapter 8: Geometry and Measurement 8.1: Lines and Angles 8.2: Perimeter 8.3: Area, Volume, and Surface Area 8.4: Linear Measurement 8.5: Weight and Mass 8.6: Capacity 8.7: Temperature and Conversions Between the U.S. and Metric System Chapter 8 Review and Practice Chapter 9: Equations, Inequalities, and Problem Solving 9.1: Symbols and Sets of Numbers 9.2: Properties of Real Numbers 9.3: Further Solving Linear Equations 9.4: Further Problem Solving 9.5: Formulas and Problem Solving 9.6: Linear Inequalities and Problem Solving Chapter 9 Review and Practice Chapter 10: Graphing 10.1 The Rectangular Coordinate System 10.2 Graphing Linear Equations 10.3 Intercepts 10.4 Slope and Rate of Change 10.5 Equations of Lines 10.6 Functions Chapter 10 Review and Practice Chapter 11: Solving Systems of Linear Equations 11.1: Solving Systems of Linear Equations by Graphing 11.2: Solving Systems of Linear Equations by Substitution 11.3: Solving Systems of Linear Equations by Addition 11.4: Solving Systems of Linear Equations by Three Variables 11.5: Systems of Linear Equations and Problem Solving Chapter 11 Review and Practice Chapter 12: Exponents and Polynomials 12.1: Exponents 12.2: Polynomial Functions and Adding and Subtracting Polynomials 12.3: Multiplying Polynomials 12.4: Special Products 12.5: Negative Exponents and Scientific Notation 12.6: Dividing Polynomials 12.7: Synthetic Division and the Remainder Theorem Chapter 12 Review and Practice Chapter 13: Factoring Polynomials 13.1: The Greatest Common Factor and Factoring by Grouping 13.2: Factoring Trinomials of the Form x² + bx + c 13.3: Factoring Trinomials of the Form x² + bx + c and Perfect Square Trinomials 13.4: Factoring Trinomials of the Form x² + bx + c by Grouping 13.5: Factoring Binomials 13.6: Solving Quadratic Equations by Factoring 13.7: Quadratic Equations and Problem Solving Chapter 13 Review and Practice Chapter 14: Rational Expressions 14.1: Rational Functions and Simplifying Rational Expressions 14.2: Multiplying and Dividing Rational Expressions 14.3: Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator 14.4: Adding and Subtracting Rational Expressions with Unlike Denominators 14.5: Solving Equations Containing Rational Expressions 14.6: Problem Solving with Proportions and Rational Equations 14.7: Simplifying Complex Fractions Chapter 14 Review and Practice Chapter 15: More on Functions and Graphs 15.1: Graphing and Writing Linear Functions 15.2: Reviewing Function Notation and Graphing Nonlinear Functions 15.3: Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions 15.4: Variation and Problem Solving Chapter 15 Review and Practice Chapter 16: Inequalities and Absolute Value 16.1: Compound Inequalities 16.2: Absolute Value Equations 16.3: Absolute Value Inequalities 16.4: Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities Chapter 16 Review and Practice Chapter 17: Rational Exponents, Radicals, and Complex Numbers 17.1 Radicals and Radical Functions 17.2 Rational Exponents 17.3 Simplifying Radical Expressions 17.4 Adding, Subtracting, and Multiplying Radical Expressions 17.5 Rationalizing Denominators and Numerators of Radical Expressions 17.6 Radical Equations and Problem Solving 17.7 Complex Numbers Chapter 17 Review and Practice Chapter 18: Quadratic Equations and Functions 18.1 Solving Quadratic Equations by Completing the Square 18.2 Solving Quadratic Equations by the Quadratic Formula 18.3 Solving Equations by Using Quadratic Methods 18.4 Nonlinear Inequalities in One Variable 18.5 Quadratic Functions and Their Graphs 18.6 Further Graphing of Quadratic Functions Chapter 18 Review and Practice Chapter 19: Exponential and Logarithmic Functions 19.1 The Algebra of Functions; Composite Functions 19.2 Inverse Functions 19.3 Exponential Functions 19.4 Exponential Growth and Decay Functions 19.5 Logarithmic Functions 19.6 Properties of Logarithms 19.7 Common Logarithms, Natural Logarithms, and Change of Base 19.8 Exponential and Logarithmic Equations and Problem Solving Chapter 19 Review and Practice Chapter 20: Conic Sections 20.1 The Parabola and the Circle 20.2 The Ellipse and the Hyperbola 20.3 Solving Nonlinear Systems of Equations 20.4 Nonlinear Inequalities and Systems of Inequalities Chapter 20 Review and Practice Chapter 21: Sequence, Series, and the Binomial Theorem 21.1 Sequences 21.2 Arithmetic and Geometric Sequences 21.3 Series 21.4 Partial Sums of Arithmetic and Geometric Sequences 21.5 The Binomial Theorem Chapter 21 Review and Practice Appendices: A. Tables A.1 Table of Geometric Figures A.2 Table of Percents, Decimals, and Fraction Equivalents A.3 Table on Finding Common Percents of a Number A.4 Table of Squares and Square Roots A.5 Geometric Formulas B. Review of Algebra Topics B.1 Equations (Linear and Quadratic Solved by Factoring) B.2 Mixture and Uniform Motion Problem Solving B.3 Graphing B.4 Polynomials and Factoring B.5 Rational Expressions C. Stretching and Compressing Graphs of Absolute Value Functions D. An Introduction to Using a Graphing Utility E. Solving Systems of Equations by Matrices F. Solving Systems of Equations by Determinants Table of Contents
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