# Introductory and Intermediate Algebra for College Students / Edition 1

The goal of this series is to provide readers with a strong foundation in Algebra. Each book is designed to develop readers' critical thinking and problem-solving capabilities and prepare readers for subsequent Algebra courses as well as "service" math courses. Topics are presented in an interesting and inviting format, incorporating real world sourced data and… See more details below

## Overview

The goal of this series is to provide readers with a strong foundation in Algebra. Each book is designed to develop readers' critical thinking and problem-solving capabilities and prepare readers for subsequent Algebra courses as well as "service" math courses. Topics are presented in an interesting and inviting format, incorporating real world sourced data and encouraging modeling and problem-solving. The Real Number System. Linear Equations and Inequalities in One Variable. Linear Equations in Two Variables. Systems of Linear Equations. Exponents and Polynomials. Factoring Polynomials. Rational Expressions. Functions, More on Systems of Linear Functions. Inequalities and Problem Solving. Radicals, Radical Functions, and Rational Exponents. Quadratic Equations and Functions. Exponential and Logarithmic Functions. Conic Sections and Nonlinear Systems of Equations. Sequences, Induction, and Probability. For anyone interested in introductory and intermediate algebra and for the combined introductory and intermediate algebra.

## Product Details

ISBN-13:
9780130328427
Publisher:
Prentice Hall
Publication date:
01/28/2002
Edition description:
Older Edition
Pages:
1152
Product dimensions:
7.96(w) x 10.32(h) x 1.58(d)

CONTENTS
A Brief Guide to Getting the Most from This Book
Preface
To The Student
Chapter 1: The Real Number System
1.1 Fractions
1.2 The Real Numbers
1.3 Ordered Pairs and Graphs
1.4 Basic Rules of Algebra
Mid-Chapter Check Point
1.6 Subtraction of Real Numbers
1.7 Multiplication and Division of Real Numbers
1.8 Exponents, Order of Operations, and Mathematical Models
Chapter 1 Group Project
Summary
Review Exercises
Chapter 1 Test
Chapter 2: Linear Equations and Inequalities in One Variable
2.1 The Addition Property of Equality
2.2 The Multiplication Property of Equality
2.3 Solving Linear Equations
2.4 Formulas and Percents
Mid-Chapter Check Point
2.5 An Introduction to Problem Solving
2.6 Problem Solving in Geometry
2.7 Solving Linear Inequalities
Chapter 2 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 2)
Chapter 2 Test
Chapter 3: Linear Equations in Two Variables
3.1 Graphing Equations in Two Variables
3.2 Graphing Linear Equations Using Intercepts
3.3 Slope
3.4 The Slope-Intercept Form of the Equations of a Line
Mid-Chapter Check Point
3.5 The Point-Slope Form of the Equation of a Line
Chapter 3 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 3)
Chapter 3 Test
Chapter 4: Systems of Linear Equations
4.1 Solving Systems of Linear Equations by Graphing
4.2 Solving Systems of Linear Equations by the Substitution Method
4.3 Solving Systems of Linear Equations by the Addition Method
Mid-Chapter Check Point
4.4 Problem Solving Using Systems of Equations
4.5 Systems of Linear Equations in Three Variables
Chapter 4 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 4)
Chapter 4 Test
Chapter 5: Exponents and Polynomials
5.2 Multiplying Polynomials
5.3 Special Products
5.4 Polynomials in Several Variables
Mid-Chapter Check Point
5.5 Dividing Polynomials
5.6 Long Division of Polynomials; Synthetic Division
5.7 Negative Exponents and Scientific Notation
Chapter 5 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 5)
Chapter 5 Test
Chapter 6: Factoring Polynomials
6.1 The Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials Whose Leading Coefficient is One
6.3 Factoring Trinomials Whose Leading Coefficient Is Not One
Mid-Chapter Check Point
6.4 Factoring Special Forms
6.5 A General Factoring Strategy
6.6 Solving Quadratic Equations by Factoring
Chapter 6 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 6)
Chapter 6 Test
Chapter 7: Rational Expressions
7.1 Radical Expressions and Their Simplification
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions with the Same Denominators
7.4 Adding and Subtracting Rational Expressions with Different Denominators
Mid-Chapter Check Point
7.5 Complex Rational Expressions
7.6 Solving Rational Equations
7.7 Applications Using Rational Equations and Proportions
7.8 Modeling Using Variation
Chapter 7 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 7)
Chapter 7 Test
Mid-Textbook Check Point
Chapter 8: Basics of Functions
8.1 Introduction to Functions
8.2 The Algebra of Functions
Mid-Chapter Check Point
8.3 Composite and Inverse Functions
Chapter 8 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 8)
Chapter 8 Test
Chapter 9: Inequalities and Problem Solving
9.1 Interval Notation and Business Applications Using Linear Inequalities
9.2 Compound Inequalities
9.3 Equations and Inequalities Involving Absolute Value
Mid-Chapter Check Point
9.4 Linear Inequalities in Two Variables
9.5 Linear Programming
Chapter 9 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 9)
Chapter 9 Test
10.2 Rational Expressions
10.3 Multiplying and Simplifying Radical Expressions
Mid-Chapter Check Point
10.5 Multiplying with More Than One Term and Rationalizing Denominators
10.7 Complex Numbers
Chapter 10 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 10)
Chapter 10 Test
Chapter 11: Quadratic Equations and Functions
11.1 The Square Root Property and Completing the Square
11.3 Quadratic Functions and Their Graphs
Mid-Chapter Check Point
11.5 Polynomial and Rational Inequalities
Chapter 11 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 11)
Chapter 11 Test
Chapter 12: Exponential and Logarithmic Functions
12.1 Exponential Functions
12.2 Logarithmic Functions
12.3 Properties of Logarithms
Mid-Chapter Check Point
12.4 Exponential and Logarithmic Equations
12.5 Exponential Growth and Decay; Modeling Data
Chapter 12 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 12)
Chapter 12 Test
Chapter 13: Conic Sections and Systems of Nonlinear Equations
13.1 The Circle
13.2 The Ellipse
13.3 The Hyperbola
Mid-Chapter Check Point
13.4 The Parabola; Identifying Conic Sections
13.5 Systems of Nonlinear Equations in Two Variables
Chapter 13 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 13)
Chapter 13 Test
Chapter 14 Sequences, Induction, and Probability
14.1 Sequences and Summation Notation
14.2 Arithmetic Sequences
14.3 Geometric Sequences and Series
Mid-Chapter Check Points
14.4 The Binomial Theorem
14.5 Counting Principles, Permutations, and Combinations
14.6 Probability
Chapter 14 Group Project
Summary
Cumulative Review Exercises (Chapters 1- 14)
Chapter 14 Test
Appendices
A: Matrix Solutions to Systems of Linear Equations
B: Determinants and Cramer’s Rule
C: Where Did That Come From? Selected Proofs
Applications Index
Subject Index
Photo Credits