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# Algebra : Combined Approach - Text Only - 3rd edition

Edition: 3RD 07
Publisher: Prentice Hall, Inc.
Published: 2007
International: No

# Algebra : Combined Approach - Text Only - 3RD 07 edition

## ISBN13: -

K. Elayn Martin-Gay

Edition: 3RD 07
Publisher: Prentice Hall, Inc.
Published: 2007
International: No
Summary

Algebra: A Combined Approach is intended for a 2-semester sequence of Introductory and Intermediate Algebra where students get a solid foundation in algebra, including exposure to functions, which prepares them for success in College Algebra or their next math course.

Chapter R Prealgebra Review

R.1 Factors and the Least Common Multiple
R.2 Fractions
R.3 Decimals and Percents

Chapter 1. Real Numbers and Introduction to Algebra

1.1 Tips for Success in Mathematics
1.2 Symbols and Sets of Numbers
1.3 Exponents, Order of Operations, and Variable Expressions
1.5 Subtracting Real Numbers
Integrated Review-Operations on Real Numbers
1.6 Multiplying and Dividing Real Numbers
1.7 Properties of Real Numbers
1.8 Simplifying Expressions

Chapter 2. Equations, Inequalities, and Problem Solving

2.1 The Addition Property of Equality
2.2 The Multiplication Property of Equality
2.3 Further Solving Linear Equations
Integrated Review-Solving Linear Equations
2.4 An Introduction to Problem Solving
2.5 Formulas and Problem Solving
2.6 Percent and Mixture Problem Solving
2.7 Solving Linear Inequalities

Chapter 3. Graphing Equations and Inequalities

3.1 Reading Graphs and the Rectangular Coordinate System
3.2 Graphing Linear Equations
3.3 Intercepts
3.4 Slope and Rate of Change
Integrated Review-Summary of Linear Equations
3.5 Equations of Lines
3.6 Graphing Linear Inequalities in Two Variables

Chapter 4. Systems of Equations

4.1 Solving Systems of Linear Equations by Graphing
4.2 Solving Systems of Linear Equations by Substitution
4.3 Solving Systems of Linear Equations by Addition
Integrated Review-Summary on Solving Systems of Equations
4.4 Systems of Linear Equations and Problem Solving

Chapter 5. Exponents and Polynomials

5.1 Exponents
5.2 Negative Exponents and Scientific Notation
5.3 Introduction to Polynomials
5.5 Multiplying Polynomials
5.6 Special Products
Integrated Review-Exponents and Operations on Polynomials
5.7 Dividing Polynomials

Chapter 6. Factoring Polynomials

6.1 The Greatest Common Factor
6.2 Factoring Trinomials of the Form x² + bx + c
6.3 Factoring Trinomials of the Form ax² + bx + c
6.4 Factoring Trinomials of the Form ax² + bx + c by Grouping
6.5 Factoring Special Products
Integrated Review-Choosing a Factoring Strategy
6.6 Solving Quadratic Equations by Factoring
6.7 Quadratic Equations and Problem Solving

Chapter 7. Rational Expressions

7.1 Simplifying Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least
Common Denominator
7.4 Adding and Subtracting Rational Expressions with Different Denominators
7.5 Solving Equations Containing Rational Expressions
Integrated Review-Summary on Rational Expressions
7.6 Proportion and Problem Solving with Rational Expressions
7.7 Simplifying Complex Fractions

Chapter 8. Graphs and Functions

8.1 Review of Equations of Lines and Writing Parallel and Perpendicular Lines
8.2 Introduction to Functions
8.3 Polynomial and Rational Functions
Integrated Review-Linear Equations in Two Variables
8.4 Interval Notation, Finding Domains and Ranges from Graphs and Graphing Piecewise Defined Functions
8.5 Shifting and Reflecting Graphs of Functions

Chapter 9. Systems of Equations and Inequalities, and Variation

9.1 Solving Systems of Linear Equations and Problem Solving in Three Variables
9.2 Solving Systems of Equations Using Matrices
Integrated Review-Systems of Linear Equations
9.3 Systems of Linear Inequalities
9.4 Variation and Problem Solving

Chapter 10. Rational Exponents, Radicals and Complex Numbers

10.2 Rational Exponents
10.5 Rationalizing Numerators and Denominators of Radical Expressions
10.6 Radical Equations and Problem Solving
10.7 Complex Numbers

Chapter 11. Quadratic Equations and Functions

11.1 Solving Quadratic Equations by Completing the Square
11.3 Solving Equations by Using Quadratic Methods
Integrated Review-Summary on Solving Quadratic Equations
11.4 Nonlinear Inequalities in One Variable
11.5 Quadratic Functions and Their Graphs
11.6 Further Graphing of Quadratic Functions

Chapter 12. Exponential and Logarithmic Functions

12.1 The Algebra of Functions
12.2 Inverse Functions
12.3 Exponential Functions
12.4 Logarithmic Functions
12.5 Properties of Logarithms
Integrated Review-Functions and Properties of Logarithms
12.6 Common Logarithms, Natural Logarithms, and Change of Base
12.7 Exponential and Logarithmic Equations and Problem Solving

Chapter 13. Conic Sections

13.1 The Parabola and the Circle
13.2 The Ellipse and the Hyperbola
Integrated Review-Graphing Conic Sections
13.3 Solving Nonlinear Systems of Equations
13.4 Nonlinear Inequalities and systems of Inequalities

Appendices

A Transition Review: Exponents, Polynomials and Factoring Strategies
B Transition Review: Solving Linear and Quadratic Equations
C The Bigger Picture-Simplifying Expressions and Solving Equations
D Sets and Compound Inequalities
E Absolute Value Equations and Inequalities
F Determinants and Cramer's Rule
G Review of Angles, Lines and Special Triangles
H An Introduction to Using a Graphing Utility
I. Stretching Graphs of Absolute Value Functions