Table of Contents for Algebra


Preface 11(2)
Chapter 1 Numbers
13(28)
Lesson 1--1 Types of Numbers
14(5)
Lesson 1--2 Operations and Symbols
19(1)
Lesson 1--3 Properties of Real Numbers
20(3)
Lesson 1--4 Properties of Zero and One
23(3)
Lesson 1--5 Absolute Value
26(1)
Lesson 1--6 Manipulating Rational Numbers
27(7)
Lesson 1--7 The Order of Operations
34(2)
Lesson 1--8 The Distributive Property
36(1)
Lesson 1--9 Evaluating Expressions
37(4)
Chapter 2 Exponents
41(18)
Lesson 2--1 Positive Integer Powers
41(4)
Lesson 2--2 Rules for Exponents
45(4)
Lesson 2--3 Negative Integer Powers
49(2)
Lesson 2--4 Zero as an Exponent
51(1)
Lesson 2--5 Powers of Quotients and Products
52(2)
Lesson 2--6 Scientific Notation
54(5)
Chapter 3 Equations and Equality
59(22)
Lesson 3--1 Equations
59(1)
Lesson 3--2 Equality
60(2)
Lesson 3--3 Algebraic Properties of Equality
62(1)
Lesson 3--4 Solving Linear Equations in One Step
63(5)
Lesson 3--5 Solving Linear Equations Using Several Steps
68(6)
Lesson 3--6 Equations Involving Absolute Value
74(7)
Chapter 4 Inequalities and Graphs
81(24)
Lesson 4--1 Properties of Inequalities
83(1)
Lesson 4--2 Solving Inequalities in One Step
84(4)
Lesson 4--3 Solving Inequalities Using Several Steps
88(2)
Lesson 4--4 Graphing Inequalities Using the Number Line
90(5)
Lesson 4--5 Graphing Compound Inequalities
95(2)
Lesson 4--6 Inequalities and Absolute Value
97(8)
Chapter 5 Relations, Functions, and Graphs
105(16)
Lesson 5--1 Relations
105(2)
Lesson 5--2 Functions
107(1)
Lesson 5--3 Formulas
108(1)
Lesson 5--4 Tables
109(1)
Lesson 5--5 The Cartesian Coordinate System
110(4)
Lesson 5--6 Graphs of Functions and Relations
114(7)
Chapter 6 Linear Equations
121(26)
Lesson 6--1 Linear Functions and Calculating Slopes
121(6)
Lesson 6--2 Intercepts
127(2)
Lesson 6--3 Point-Slope Form
129(1)
Lesson 6--4 Slope-Intercept Form
130(2)
Lesson 6--5 Standard Form
132(3)
Lesson 6--6 Horizontal and Vertical Lines
135(3)
Lesson 6--7 Graphing Linear Equations
138(9)
Chapter 7 Systems of Linear Equations
147(14)
Lesson 7--1 The Graphical Method
148(2)
Lesson 7--2 The Substitution/Elimination Method
150(3)
Lesson 7--3 The Addition/Subtraction Method
153(8)
Chapter 8 Monomials and Polynomials
161(24)
Lesson 8--1 Terminology
161(2)
Lesson 8--2 Adding and Subtracting Monomials
163(1)
Lesson 8--3 Multiplying and Dividing Monomials
164(3)
Lesson 8--4 Monomials as the Base of an Exponential Expression
167(1)
Lesson 8--5 Adding and Subtracting Polynomials
168(2)
Lesson 8--6 Multiplying Polynomials
170(3)
Lesson 8--7 Special Products
173(3)
Lesson 8--8 Dividing Polynomials by Monomials
176(1)
Lesson 8--9 Factoring Techniques
177(3)
Lesson 8--10 Solving Factored Equations
180(5)
Chapter 9 Quadratic Equations
185(28)
Lesson 9--1 Square Roots
185(3)
Lesson 9--2 The Difference Between Two Squares
188(5)
Lesson 9--3 Factoring Quadratic Expressions of the Form X2 + bx + c
193(4)
Lesson 9--4 Factoring Quadratic Expressions in General
197(3)
Lesson 9--5 Solving Quadratic Equations by Factoring
200(2)
Lesson 9--6 Solving Quadratic Equations by Completing the Square
202(4)
Lesson 9--7 Solving Quadratic Equations Using the Quadratic Formula
206(7)
Chapter 10 Rational Expressions
213(12)
Lesson 10--1 Simplifying Rational Expressions
213(3)
Lesson 10--2 Multiplying Rational Expressions
216(1)
Lesson 10--3 Dividing Rational Expressions
217(2)
Lesson 10--4 Adding and Subtracting Rational Expressions
219(6)
Chapter 11 Applications
225(16)
Lesson 11--1 How to Approach Word Problems
225(2)
Lesson 11--2 Rates and Percentages
227(2)
Lesson 11--3 Finding Integers
229(3)
Lesson 11--4 Rate, Time, and Distance Problems
232(2)
Lesson 11--5 Money Problems
234(2)
Lesson 11--6 Mixture Problems
236(5)
Final Exam 241(10)
Index 251(4)
About the Author 255