Elementary & intermediate algebra : a unified approach

✍ Scribed by Stefan Baratto; Barry Bergman

• Publisher: McGraw-Hill
• Year: 2008
• Tongue: English
• Leaves: 1312
• Category: Library

✦ Table of Contents

Tittle
Contents
Chapter 0 PrealgebraReview
0.1 A Review of Fractions
0.2 Real Numbers
0.3 Adding and Subtracting Real Numbers
0.4 Multiplying and Dividing Real Numbers
0.5 Exponents and Order of Operations
Chapter 0 :: Summary
Chapter 0 :: Summary Exercises
Chapter 0 :: Self-Test
Chapter 1 From Arithmeticto Algebra
1.1 Transition to Algebra
Activity 1: An Introduction to Searching
1.2 Evaluating Algebraic Expressions
1.3 Adding and Subtracting Algebraic Expressions
Sets
Chapter 1 :: Summary
Chapter 1 :: Summary Exercises
Chapter 1 :: Self-Test
Chapter 2 Equations andInequalities
2.1 Solving Equations by Adding and Subtracting
Activity 2: Monetary Conversions
2.2 Solving Equations by Multiplying and Dividing
2.3 Combining the Rules to Solve Equations
2.4 Literal Equations and Their Applications
2.5 Solving Linear Inequalities Using Addition
2.6 Solving Linear Inequalities Using Multiplication
2.7 Solving Absolute-Value Equations (Optional)
2.8 Solving Absolute-Value Inequalities (Optional)
Chapter 2 :: Summary
Chapter 2 :: Summary Exercises
Chapter 2 :: Self-Test
Cumulative Review :: Chapters 0–2
Chapter 3 Graphs and Linear Equations
3.1 Solutions of Equations in Two Variables
Activity 3: Graphing with a Calculator
3.2 The Cartesian Coordinate System
3.3 The Graph of a Linear Equation
3.4 The Slope of a Line
3.5 Forms of Linear Equations
3.6 Graphing Linear Inequalities in Two Variables
Chapter 3 :: Summary
Chapter 3 :: Summary Exercises
Chapter 3 :: Self-Test
Cumulative Review :: Chapters 0–3
Chapter 4 Exponents and Polynomials
4.1 Positive Integer Exponents
Activity 4: Getting Rich with Compound Interest
4.2 Zero and Negative Exponents and Scientific Notation
4.3 Introduction to Polynomials
4.4 Addition and Subtraction of Polynomials
4.5 Multiplication of Polynomials and Special Products
4.6 Division of Polynomials
Chapter 4 :: Summary
Chapter 4 :: Summary Exercises
Chapter 4 :: Self-Test
Cumulative Review :: Chapters 0–4
Chapter 5 Factoring Polynomials
5.1 An Introduction to Factoring
Activity 5: ISBNs and the Check Digit
5.2 Factoring Special Polynomials
5.3 Factoring Trinomials: Trial and Error
5.4 Factoring Trinomials: The ac Method
5.5 Strategies in Factoring
5.6 Solving Quadratic Equations by Factoring
5.7 Problem Solving with Factoring
Chapter 5 :: Summary
Chapter 5 :: Summary Exercises
Chapter 5 :: Self-Test
Cumulative Review :: Chapters 0–5
Chapter 6 A Beginning Lookat Functions
6.1 Relations and Functions
Activity 6: Growth of Children—Fitting a Linear Model to Data
6.2 Tables and Graphs
6.3 Algebra of Functions
6.4 Composition of Functions
6.5 Synthetic Substitution and Division
Chapter 6 :: Summary
Chapter 6 :: Summary Exercises
Chapter 6 :: Self-Test
Cumulative Review :: Chapters 0–6
Chapter R A Review of Elementary Algebra
R.1 From Arithmetic to Algebra
R.2 Equations and Inequalities
R.3 Graphs and Linear Equations
R.4 Exponents and Polynomials
R.5 Factoring Polynomials
R.6 A Beginning Look at Functions
Final Exam :: Chapters 0–
Chapter 7 Rational Expressions
7.1 Simplifying Rational Expressions
Activity 7: Communicating Mathematical Ideas
7.2 Multiplication and Division of Rational Expressions
7.3 Addition and Subtraction of Rational Expressions
7.4 Complex Fractions
7.5 Solving Rational Equations
7.6 Solving Rational Inequalities
Chapter 7 :: Summary
Chapter 7 :: Summary Exercises
Chapter 7 :: Self-Test
Cumulative Review :: Chapters 0–7
Chapter 8 Matrices (Optional)
8.1 Solving Systems of Linear Equations by Graphing
Activity 8: Agricultural Technology
8.2 Systems of Equations in Two Variables with Applications
8.3 Systems of Linear Equations in Three Variables
8.4 Systems of Linear Inequalities in Two Variables
8.5 Matrices (Optional)
Chapter 8 :: Summary
Chapter 8 :: Summary Exercises
Chapter 8 :: Self-Test
Cumulative Review :: Chapters 0–8
Chapter 9 Graphical Solutions
9.1 Solving Equations in One Variable Graphically
Activity 9: Solving Systems of Equations Graphically
9.2 Solving Linear Inequalities in One Variable Graphically
9.3 Solving Absolute-Value Equations Graphically
9.4 Solving Absolute-Value Inequalities Graphically
Chapter 9 :: Summary
Chapter 9 :: Summary Exercises
Chapter 9 :: Self-Test
Cumulative Review :: Chapters 0–9
Chapter 10 Radicals and Exponents
Radicals and Exponents 10.1 Roots and Radicals
Activity 10: The Swing of a Pendulum
10.2 Simplifying Radical Expressions
10.3 Operations on Radical Expressions
10.4 Solving Radical Equations
10.5 Rational Exponents
10.6 Complex Numbers
Chapter 10 :: Summary
Chapter 10 :: Summary Exercises
Chapter 10 :: Self-Test
Cumulative Review :: Chapters 0–10
Chapter 11 Quadratic Functions
Quadratic Functions 11.1 Solving Quadratic Equations by Completing the Square
Activity 11: Stress-Strain Curves
11.2 The Quadratic Formula
11.3 An Introduction to Parabolas
11.4 Solving Quadratic Inequalities
Chapter 11 :: Summary
Chapter 11 :: Summary Exercises
Chapter 11 :: Self-Test
Cumulative Review :: Chapters 0–11
Chapter 12 Conic Sections
12.1 Conic Sections and Circles
Activity 12: Sketching the Skies
12.2 Ellipses
12.3 Hyperbolas
Chapter 12 :: Summary
Chapter 12 :: Summary Exercises
Chapter 12 :: Self-Test
Cumulative Review Chapters 0–12
Chapter 13 Exponential and Logarithmic Functions
13.1 Inverse Relations and Functions
Activity 13: Half-Life and Decay
13.2 Exponential Functions
13.3 Logarithmic Functions
13.4 Properties of Logarithms
13.5 Logarithmic and Exponential Equations
Chapter 13 :: Summary
Chapter 13 :: Summary Exercises
Chapter 13 :: Self-Test
Cumulative Review :: Chapters 0–13
Appendix A :: Determinants and Cramer’s Rule
Answers to Summary Exercises, Self-Tests, and Cumulative Reviews
Index