Elementary and Intermediate Algebra: A Unified Approach

Elementary and Intermediate Algebra: A Unified Approach


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Product Details

ISBN-13: 9780072546712
Publisher: McGraw-Hill Companies, The
Publication date: 10/28/2003
Pages: 1152
Product dimensions: 8.20(w) x 10.50(h) x 1.50(d)

Table of Contents

0 Prealgebra Review
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 Operation

1 From Arithmetic to Algebra
1.1 Transition to Algebra
1.2 Evaluating Algebraic Expressions
1.3 Adding and Subtracting Algebraic Expressions
1.4 Sets

2 Equations and Inequalities
2.1 Solving Equations by Adding and Subtracting
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)

3 Graphs and Linear Equations
3.1 Solutions of Equations in Two Variables
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

4 Exponents and Polynomials
4.1 Positive Integer Exponents
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

5 A Beginning Look at Functions
5.1 Relations and Functions
5.2 Tables and Graphs
5.3 Algebra of Functions
5.4 Composition of Functions

6 Factoring Polynomials
6.1 An Introduction to Factoring
6.2 Factoring Special Polynomials
6.3 Factoring Trinomials: The ac method
6.3* Factoring Trinomials: Trial and Error
6.4Solving Quadratic Equations by Factoring
6.5 Problem Solving with Factoring
6.6 A General Strategy for Factoring

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 A Beginning Look at Functions
R.6 Factoring Polynomials

7 Rational Expressions
7.1 Simplifying Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Addition and Subtraction of Rational Expressions
7.4 Complex Fractions
7.5 Solving Rational Expressions
7.6 Solving Rational Inequalities
7.7 Rational Functions

8 Systems of Linear Equations and Inequalities
8.1 Solving Systems of Linear Equations by Graphing
8.2 Systems of Equations in Two Variables with Applications
8.3 Systems of Linear Equations in Three Variables
8.4 Matrices (Optional)
8.5 Graphing Linear Inequalities in Two Variables
8.6 Systems of Linear Inequalities in Two Variables

9 Graphical Solutions
9.1 Solving Equations in One Variable Graphically
9.2 Solving Linear Inequalities in One Variable Graphically
9.3 Solving Absolute Value Equations Graphically
9.4 Solving Absolute Value Inequalities Graphically

10 Radicals and Exponents
10.1 Roots and Radicals
10.2 Simplifying Radical Expressions
10.3 Operations on Radical Expressions
10.4 Solving Radical Equations
10.5 Rational Exponents
10.6 Complex Numbers

11 Quadratic Functions
11.1 Solving Quadratic Equations by Completing the Square
11.2 The Quadratic Formula
11.3 Solving Quadratic Equations by Graphing
11.4 Solving Quadratic Inequalities

12 Conic Sections
12.1 More on the Parabola
12.2 The Circle
12.3 Ellipses
12.4 Hyperbolas

13 Exponential and Logarithmic Functions
13.1 Inverse Relations and Functions
13.2 Exponential Functions
13.3 Logarithmic Functions
13.4 Properties of Logarithms
13.5 Logarithmic and Exponential Equations
Appendix A
Appendix A.1 Determinants and Cramer's Rule

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