Beginning algebra : building a foundation

1. Patterns and Review of Real Numbers 1.1 Problem Solving and Finding Patterns 1.2 Sets, Symbols, and Real Numbers 1.3 Review of Fractions 1.4 Addition and Subtraction of Real Numbers 1.5 Multiplication, Division and Properties of Real Numbers 1.6 Exponents, Order of Operations and Algebraic Expressions 1.7 Reading and Interpreting Graphs and the Coordinate Plane Chapter 1 Summary Chapter 1 Review Problem Set Chapter 1 Test 2. Equations and Inequalities in One Variable and Applications 2.1 Properties of Equality and Linear Equations 2.2 Linear Equations Involving Grouping Symbols and Fractions 2.3 Literal Equations and Applications 2.4 Linear Inequalities 2.5 Compound and Double Inequalities 2.6 Additional Applications Chapter 2 Summary Chapter 2 Review Problem Set Chapter 2 Test 3. Linear Equations, Slope, Inequalities, and Introduction to Functions 3.1 Linear Equations in Two Variables 3.2 The Intercept Method 3.3 The Slope and y-Intercept Method 3.4 Determining the Equation of a Line, Parallel Lines, and Perpendicular Lines 3.5 Graphing Linear Inequalities in Two Variables 3.6 Introduction to Functions Chapter 3 Summary Chapter 3 Review Problem Set Chapter 3 Test Cumulative Review Chapters 1 - 3 4. Exponents, Polynomials, and Applications 4.1 Integer Exponents 4.2 Scientific Notation and Applications 4.3 Introduction to Polynomials and Polynomial Functions 4.4 Multiplying Polynomials 4.5 Special Products 4.6 Dividing Polynomials Chapter 4 Summary Chapter 4 Review Problem Set Chapter 4 Test 5. Factoring Polynomials 5.1 Introduction to Factoring 5.2 Factoring Special Forms of Binomials 5.3 Factoring Trinomials of the Form 5.4 Factoring Trinomials of the Form , with A = 1 and Perfect-Square Trinomials 5.5 The General Factoring Strategy 5.6 Applications Using the Zero Factor Property Chapter 5 Summary Chapter 5 Review Problem Set Chapter 5 Test 6. Rational Expressions 6.1 Simplifying Rational Expressions 6.2 Multiplication and Division of Rational Expressions 6.3 Addition and Subtraction of Rational Expressions 6.4 Complex Fractions 6.5 Rational Functions and Solving Equations Containing Rational Expressions 6.6 Applications Chapter 6 Summary Chapter 6 Review Problem Set Chapter 6 Test Cumulative Review Chapters 4 - 6 7. Systems of Equations 7.1 The Graphing Method 7.2 The Substitution Method 7.3 The Elimination Method 7.4 Applications 7.5 Systems of Linear Inequalities Chapter 7 Summary Chapter 7 Review Problem Set Chapter 7 Test 8. Roots and Radicals 8.1 Simplifying, Adding, and Subtracting Square Roots 8.2 Multiplying and Dividing Square Roots 8.3 Solving Equations Containing Square Roots 8.4 Applications 8.5 Higher Roots and Rational Exponents Chapter 8 Summary Chapter 8 Review Problem Set Chapter 8 Test 9. Quadratic Equations 9.1 The Square Root Property 9.2 Completing the Square 9.3 The Quadratic Formula 9.4 Complex Numbers 9.5 Graphing Quadratic Functions Chapter 9 Summary Chapter 9 Review Problem Set Chapter 9 Test Cumulative Review Chapters 7 -- 9