• 1.1 Study Skills for Success in Mathematics, and Using a Calculator
• 1.2 Sets and Other Basic Concepts
• 1.3 Properties of and Operations with Real Numbers
• 1.4 Order of Operations
  • Mid-Chapter Test: Sections 1.1--1.4
• 1.5 Exponents
• 1.6 Scientific Notation

• 2.1 Solving Linear Equations
• 2.2 Problem Solving and Using Formulas
• 2.3 Applications of Algebra
  • Mid-Chapter Test: Sections 2.1--2.3
• 2.4 Additional Application Problems
• 2.5 Solving Linear Inequalities
• 2.6 Solving Equations and Inequalities Containing Absolute Values

• 3.1 Graphs
• 3.2 Functions
• 3.3 Linear Functions: Graphs and Applications
• 3.4 The Slope-Intercept Form of a Linear Equation
  • Mid-Chapter Test: Sections 3.1--3.4
• 3.5 The Point-Slope Form of a Linear Equation
• 3.6 The Algebra of Functions
• 3.7 Graphing Linear Inequalities

• 4.1 Solving Systems of Linear Equations in Two Variables
• 4.2 Solving Systems of Linear Equations in Three Variables
• 4.3 Systems of Linear Equations: Applications and Problem Solving
  • Mid-Chapter Test: Sections 4.1--4.3
• 4.4 Solving Systems of Equations Using Matrices
• 4.5 Solving Systems of Equations Using Determinants and Cramer''s Rule
• 4.6 Solving Systems of Linear Inequalities

• 5.1 Addition and Subtraction of Polynomials
• 5.2 Multiplication of Polynomials
• 5.3 Division of Polynomials and Synthetic Division
• 5.4 Factoring a Monomial from a Polynomial and Factoring by Grouping
  • Mid-Chapter Test: Sections 5.1--5.4
• 5.5 Factoring Trinomials
• 5.6 Special Factoring Formulas
• 5.7 A General Review of Factoring
• 5.8 Polynomial Equations

• 6.1 The Domains of Rational Functions and Multiplication and Division of Rational Expressions
• 6.2 Addition and Subtraction of Rational Expressions
• 6.3 Complex Fractions
• 6.4 Solving Rational Equations
  • Mid-Chapter Test: Sections 6.1--6.4
• 6.5 Rational Equations: Applications and Problem Solving
• 6.6 Variation

• 7.1 Roots and Radicals
• 7.2 Rational Exponents
• 7.3 Simplifying Radicals
• 7.4 Adding, Subtracting, and Multiplying Radicals
  • Mid-Chapter Test: Sections 7.1--7.4
• 7.5 Dividing Radicals
• 7.6 Solving Radical Equations
• 7.7 Complex Numbers

• 8.1 Solving Quadratic Equations by Completing the Square
• 8.2 Solving Quadratic Equations by the Quadratic Formula
• 8.3 Quadratic Equations: Applications and Problem Solving
  • Mid-Chapter Test: Sections 8.1--8.3
• 8.4 Writing Equations in Quadratic Form
• 8.5 Graphing Quadratic Functions
• 8.6 Quadratic and Other Inequalities in One Variable

• 9.1 Composite and Inverse Functions
• 9.2 Exponential Functions
• 9.3 Logarithmic Functions
• 9.4 Properties of Logarithms
  • Mid-Chapter Test: Sections 9.1--9.4
• 9.5 Common Logarithms
• 9.6 Exponential and Logarithmic Equations
• 9.7 Natural Exponential and Natural Logarithmic Functions

• 10.1 The Parabola and the Circle
• 10.2 The Ellipse
  • Mid-Chapter Test: Sections 10.1--10.2
• 10.3 The Hyperbola
• 10.4 Nonlinear Systems of Equations and Their Applications

• 11.1 Sequences and Series
• 11.2 Arithmetic Sequences and Series
• 11.3 Geometric Sequences and Series
  • Mid-Chapter Test: Sections 11.1--11.3
• 11.4 The Binomial Theorem

Appendix: Geometric Formulas