# Beginning & Intermediate Algebra Textbook Contents

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
• 1.6 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

• 10.2 Rational Exponents
• 10.5 Rationalizing Denominators and Numerators of Radical Expressions
• 10.6 Radical Equations and Problem Solving
• 10.7 Complex Numbers

• 11.1 Solving Quadratic Equations by Completing the Square
• 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