Table of Contents for Homework Helpers : Algebra


Preface 9(2)
Numbers
11(220)
Lesson 1--1: Types of Numbers
11(5)
Lesson 1--2: Operations and Symbols
16(1)
Lesson 1--3: Properties of Real Numbers
17(3)
Lesson 1--4: Properties of Zero and One
20(2)
Lesson 1--5: Absolute Value
22(2)
Lesson 1--6: Manipulating Rational Numbers
24(7)
Lesson 1--7: The Order of Operations
31(2)
Lesson 1--8: The Distributive Property
33(2)
Lesson 1--9: Evaluating Expressions
35(4)
Exponents
39(18)
Lesson 2--1: Positive Integer Powers
39(4)
Lesson 2--2: Rules for Exponents
43(3)
Lesson 2--3: Negative Integer Powers
46(2)
Lesson 2--4: Zero as an Exponent
48(2)
Lesson 2--5: Powers of Quotients and Products
50(2)
Lesson 2--6: Scientific Notation
52(5)
Equations and Equality
57(20)
Lesson 3--1: Equations
57(1)
Lesson 3--2: Equality
58(1)
Lesson 3--3: Algebraic Properties of Equality
59(1)
Lesson 3--4: Solving Linear Equations in 1 Step
60(5)
Lesson 3--5: Solving Linear Equations Using Several Steps
65(5)
Lesson 3--6: Equations Involving Absolute Value
70(7)
Inequalities and Graphs
77(22)
Lesson 4--1: Properties of Inequalities
78(2)
Lesson 4--2: Solving Inequalities in 1 Step
80(3)
Lesson 4--3: Solving Inequalities Using Several Steps
83(3)
Lesson 4--4: Graphing Inequalities Using the Number Line
86(4)
Lesson 4--5: Graphing Compound Inequalities
90(2)
Lesson 4--6: Inequalities and Absolute Value
92(7)
Relations, Functions, and Graphs
99(14)
Lesson 5--1: Relations
99(2)
Lesson 5--2: Functions
101(1)
Lesson 5--3: Formulas
101(2)
Lesson 5--4: Tables
103(1)
Lesson 5--5: The Cartesian Coordinate System
104(3)
Lesson 5--6: Graphs of Functions and Relations
107(6)
Linear Equations
113(24)
Lesson 6--1: Linear Functions and Calculating Slopes
113(5)
Lesson 6--2: Intercepts
118(2)
Lesson 6--3: Point--Slope Form
120(1)
Lesson 6--4: Slope--Intercept Form
121(3)
Lesson 6--5: Standard Form
124(2)
Lesson 6--6: Horizontal and Vertical Lines
126(2)
Lesson 6--7: Graphing Linear Equations
128(9)
Systems of Linear Equations
137(14)
Lesson 7--1: The Graphical Method
138(2)
Lesson 7--2: The Substitution/Elimination Method
140(4)
Lesson 7--3: The Addition/Subtraction Method
144(7)
Monomials and Polynomials
151(24)
Lesson 8--1: Terminology
151(1)
Lesson 8--2: Adding and Subtracting Monomials
152(2)
Lesson 8--3: Multiplying and Dividing Monomials
154(3)
Lesson 8--4: Monomials as the Base of an Exponential Expression
157(1)
Lesson 8--5: Adding and Subtracting Polynomials
158(2)
Lesson 8--6: Multiplying Polynomials
160(4)
Lesson 8--7: Special Products
164(3)
Lesson 8--8: Dividing Polynomials by Monomials
167(1)
Lesson 8--9: Factoring Techniques
168(2)
Lesson 8--10: Solving Factored Equations
170(5)
Quadratic Equations
175(30)
Lesson 9--1: Square Roots
175(3)
Lesson 9--2: The Difference Between 2 Squares
178(5)
Lesson 9--3: Factoring Quadratic Equations of the Form x2 + bx + c
183(4)
Lesson 9--4: Factoring Quadratic Equations in General
187(3)
Lesson 9--5: Solving Quadratic Equations by Factoring
190(2)
Lesson 9--6: Solving Quadratic Equations by Completing the Square
192(4)
Lesson 9--7: Solving Quadratic Equations Using the Quadratic Formula
196(9)
Rational Expressions
205(12)
Lesson 10--1: Simplifying Rational Expressions
205(2)
Lesson 10--2: Multiplying Rational Expressions
207(1)
Lesson 10--3: Dividing Rational Expressions
208(3)
Lesson 10--4: Adding and Subtracting Rational Expressions
211(6)
Applications
217(14)
Lesson 11--1: How to Approach Word Problems
217(1)
Lesson 11--2: Rates and Percentages
218(3)
Lesson 11--3: Finding Integers
221(2)
Lesson 11--4: Rate, Time, and Distance Problems
223(2)
Lesson 11--5: Money Problems
225(2)
Lesson 11--6: Mixture Problems
227(4)
Index 231(4)
About the Author 235