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 Form  x2 + bx + c

    • 6.3 Factoring Trinomials of the Form  ax2 + bx + c and Perfect Square Trinomials

    • 6.4 Factoring Trinomials of the Form  ax2 + bx + c by 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