Algebra

1. Real Numbers and Variable Expressions 1.1 Integers 1.2 Rational and Irrational Numbers 1.3 The Order of Operations Agreement 1.4 Variable Expressions 1.5 Sets 2. First-Degree Equations and Inequalities 2.1 Introduction to Equations 2.2 General Equations 2.3 Translating Sentences into Equations 2.4 Mixture and Uniform Motion Problems 2.5 First-Degree Inequalities 2.6 Absolute Value Equations and Inequalities 3. Geometry 3.1 Introduction to Geometry 3.2 Plane Geometric Figures 3.3 Solids 4. Linear Functions and Inequalities in Two Variables 4.1 The Rectangular Coordinate System 4.2 Introduction to Functions 4.3 Linear Functions 4.4 Slope of a Straight Line 4.5 Finding Equations of Lines 4.6 Parallel and Perpendicular Lines 4.7 Inequalities in Two Variables 5. Systems of Linear Equations and Inequalities 5.1 Solving Systems of Linear Equations by Graphing and by the Substitution Method 5.2 Solving Systems of Linear Equations by the Addition Method 5.3 Application Problems 5.4 Solving Systems of Linear Inequalities 5.5 Solving Systems of Equations by Using Determinants 6. Polynomials 6.1 Exponential Expressions 6.2 Introduction to Polynomial Functions 6.3 Multiplication of Polynomials 6.4 Division of Polynomials 7. Factoring 7.1 Common Factors 7.2 Factoring Polynomials of the Form x2 + bx + c 7.3 Factoring Polynomials of the Form ax2 + bx + c 7.4 Special Factoring 7.5 Solving Equations 8. Rational Expressions 8.1 Multiplication and Division of Rational Expressions 8.2 Addition and Subtraction of Rational Expressions 8.3 Complex Fractions 8.4 Solving Equations Containing Fractions 8.5 Ratio and Proportion 8.6 Literal Equations 8.7 Application Problems 8.8 Variation 9. Exponents and Radicals 9.1 Rational Exponents and Radical Expressions 9.2 Operations on Radical Expressions 9.3 Solving Equations Containing Radical Expressions 9.4 Complex Numbers 10. Quadratic Equations 10.1 Solving Quadratic Equations by Factoring or by Taking Square Roots 10.2 Solving Quadratic Equations by Completing the Square 10.3 Solving Quadratic Equations by Using the Quadratic Formula 10.4 Solving Equations That Are Reducible to Quadratic Equations 10.5 Quadratic Inequalities and Rational Inequalities 10.6 Applications of Quadratic Equations 11. Functions and Relations 11.1 Properties of Quadratic Functions 11.2 Graphs of Functions 11.3 Algebra of Functions 11.4 One-to-One and Inverse Functions 11.5 Conic Sections 12. Exponential and Logarithmic Functions 12.1 Exponential Functions 12.2 Introduction to Logarithms 12.3 Graphs of Logarithmic Functions 12.4 Solving Exponential and Logarithmic Equations 12.5 Applications of Exponential and Logarithmic Functions R. Review of Introductory Algebra Topics R.1 Variable Expressions R.2 Equations and Inequalities R.3 Linear Equations in Two Variables R.4 Polynomials