1. Review of Real Numbers 1.1 Study Skill Tips for Success in Mathematics 1.2 Symbols and Sets of Numbers 1.3 Fractions and Mixed Numbers 1.4 Exponents, Order of Operations, Variable Expressions and Equations 1.5 Adding Real Numbers 1.6 Subtracting Real Numbers 1.

7 Multiplying and Dividing Real Numbers 1.8 Properties of Real Numbers 2. Equations, Inequalities, and Problem Solving 2.1 Simplifying Algebraic Expressions 2.2 The Addition and Multiplication Properties of Equality 2.3 Solving Linear Equations 2.4 An Introduction to Problem Solving 2.5 Formulas and Problem Solving 2.

6 Percent and Mixture Problem Solving 2.7 Further Problem Solving 2.8 Solving Linear Inequalities 3. Graphing 3.1 Reading Graphs and the Rectangular Coordinate System 3.2 Graphing Linear Equations 3.3 Intercepts 3.4 Slope and Rate of Change 3.

5 Equation of Lines 3.6 Functions 4. Solving Systems of Linear 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 4.4 Solving Systems of Linear Equations in Three Variables 4.5 Systems of Linear Equations and Problem Solving 5.

Exponents and Polynomials 5.1 Exponents 5.2 Polynomial Functions and Adding and Subtracting Polynomials 5.3 Multiplying Polynomials 5.4 Special Products 5.5 Negative Exponents and Scientific Notation 5.6 Dividing Polynomials 5.7 Synthetic Division and the Remainder Theorem 6.

Factoring Polynomials 6.1 The Greatest Common Factor and Factoring by Grouping 6.2 Factoring Trinomials of the Formx2+ bx + c 6.3 Factoring Trinomials of the Formax2+ bx + cand Perfect Square Trinomials 6.4 Factoring Trinomials of the Formax2+ bx + cby Grouping 6.5 Factoring Binomials 6.6 Solving Quadratic Equations by Factoring 6.7 Quadratic Equations and Problem Solving 7.

Rational Expressions 7.1 Rational Functions and Simplifying Rational Expressions 7.2 Multiplying and Dividing Rational Expressions 7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator 7.4 Adding and Subtracting Rational Expressions with Unlike Denominators 7.5 Solving Equations Containing Rational Expressions 7.6 Proportion and Problem Solving with Rational Equations 7.7 Simplifying Complex Fractions 8.

More on Functions and Graphs 8.1 Graphing and Writing Linear Functions 8.2 Reviewing Function Notation and Graphing Nonlinear Functions 8.3 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions 8.4 Variation and Problem Solving 9. Inequalities and Absolute Value 9.1 Compound Inequalities 9.2 Absolute Value Equations 9.

3 Absolute Value Inequalities 9.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities 10. Rational Exponents, Radicals, and Complex Numbers 10.1 Radicals and Radical Functions 10.2 Rational Exponents 10.3 Simplifying Radical Expressions 10.4 Adding, Subtracting, and Multiplying Radical Expressions 10.5 Rationalizing Denominators and Numerators of Radical Expressions 10.

6 Radical Equations and Problem Solving 10.7 Complex Numbers 11. Quadratic Equations and Functions 11.1 Solving Quadratic Equations by Completing the Square 11.2 Solving Quadratic Equations by the Quadratic Formula 11.3 Solving Equations by Using Quadratic Methods 11.4 Nonlinear Inequalities in One Variable 11.5 Quadratic Functions and Their Graphs 11.

6 Further Graphing of Quadratic Functions 12. Exponential and Logarithmic Functions 12.1 The Algebra of Functions; Composite Functions 12.2 Inverse Functions 12.3 Exponential Functions 12.4 Exponential Growth and Decay Functions 12.5 Logarithmic Functions 12.6 Properties of Logarithms 12.

7 Common Logarithms, Natural Logarithms, and Change of Base 12.8 Exponential and Logarithmic Equations and Problem Solving 13. Conic Sections 13.1 The Parabola and the Circle 13.2 The Ellipse and the Hyperbola 13.3 Solving Nonlinear Systems of Equations 13.4 Nonlinear Inequalities and Systems of Inequalities 14. Sequences, Series, and the Binomial Theorem 14.

1 Sequences 14.2 Arithmetic and Geometric Sequences 14.3 Series 14.4 Partial Sums of Arithmetic and Geometric Sequences 14.5 The Binomial Theorem Appendix A: Operations on Decimals/Table of Percent, Decimal, and Fraction Equivalents Appendix B: Review of Algebra Topics Appendix C: An Introduction to Using a Graphing Utility Appendix D: Solving Systems of Equations by Matrices Appendix E: Solving Systems of Equations Using Determinants Appendix F: Mean, Median, Mode Appendix G: Review of Angles, Lines, and Special Triangles Student Resources Study Skill Builders Bigger Picture: Study Guide Outline Practice Final Exam.