Introductory Algebra Book

[Each chapter ends with Chapter Summary, Chapter Review, Practice Test, and answers to Getting Started.]

Arithmetic Review Skills Test

Chapter 1 Symbols, Real Numbers, and Problem Solving

1.1 Symbols and Notations

1.2 Properties of Real Numbers, Order of Operations

1.3 Addition and Subtraction of Real Numbers

1.4 Multiplication and Division of Real Numbers

1.5 Problem-Solving Strategies and Mathematics Study Skills

Chapter 2 Variables, Polynomials, Solving Linear Equations and Inequalities

2.1 What Is Algebra Anyway?

2.2 Collecting LIKE Terms

2.3 Solving Linear Equations

2.4 Solving and Graphing Linear Inequalities, Set-Builder and interval Notation

2.5 Formulas and Literal Equations

Chapter 3 Relations, Functions, and the Cartesian Plane

3.1 The Cartesian Plane, Quadrants, and Ordered Pairs

3.2 Relations, Functions, and Function Notation

3.3 Linear Relations and Functions, Graphing and Intercepts

3.4 Rate of Change, Slope-Intercept Form

3.5 Point-Slope Formula

Chapter 4 Linear Systems, Graphical Solutions of Linear Equations and Inequalities

4.1 Solving Linear Equations, Graphically and Analytically

4.2 Graphical Solutions of Linear Systems in Two Variables

4.3 Solving Linear Systems Using Substitution and Elimination

4.4 Graphing and Solving Linear Inequalities in Two Variables

Chapter 5 Multiplication and Division of Polynomials

5.1 Properties of Exponents

5.2 Integer Exponents

5.3 Multiplication of Polynomials

5.4 Multiplication of Binomials--Special Products

5.5 Division of Polynomials

Chapter 6 Factoring and Solving Equations by Factoring

6.1 Factoring Common Monomials from Polynomials, Factoring by Grouping

6.2 Factoring Trinomials of the Form a^2 + bx + c (a = 1), Perfect Square Trinomials, Differences of Squares

6.3 Factoring Trinomials of the form of a^2 + bx + c (a ≠ 1)

6.4 Solving Equations Using the Zero-Product Property

6.5 Multi-Step Factoring Strategy

Chapter 7 Rational Expressions and Equations

7.1 Rational Expressions and Proportions

7.2 Multiplication and Division of Rational Expressions

7.3 Addition and Subtraction of Rational Expressions

7.4 Introduction to Graphing Rational Functions

7.5 Solving Rational Equations

7.6 Complex Fractions

Chapter 8 Roots and Radical Equations

8.1 Roots and Radicals

8.2 Multiplication and Division of Radical Expressions

8.3 Addition and Subtraction of Radical Expressions

Chapter R Arithmetic Review

R.1 Place Value, Rounding and Estimating, Order of Operations

R.2 Operations with Fractions

R.3 Decimals and Percents

R.4 Ratio, Proportion, and Conversions

R.5 Exponents and Scientific Notation

Appendixes

A: Dictionary

B: Mean, Median, Mode

C: Books to Improve Study Skills