Beginning and Intermediate Algebra (7th Edition)

Cover
Title Page
Copyright Page
Contents
Preface
Study Skill S-1
	Study Skill 1
	Study Skill 2
	Study Skill 3
	Study Skill 4
	Study Skill 5
	Study Skill 6
	Study Skill 7
	Study Skill 8
	Study Skill 9
	Study Skill 10
R Prealgebra Review
	R.1 Fractions
	R.2 Decimals and Percents
1 The Real Number System
	1.1 Exponents, Order of Operations, and Inequality
	1.2 Variables, Expressions, and Equations
	1.3 Real Numbers and the Number Line
	1.4 Adding and Subtracting Real Numbers
	1.5 Multiplying and Dividing Real Numbers
	SUMMARY EXERCISES Performing Operations with Real Numbers
	1.6 Properties of Real Numbers
	1.7 Simplifying Expressions
	Chapter 1 Summary
	Chapter 1 Review Exercises
	Chapter 1 Mixed Review Exercises
	Chapter 1 Test
	Chapters R and 1 Cumulative Review Exercises
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 Using Both Properties of Equality
	2.4 Clearing Fractions and Decimals When Solving Linear Equations
	SUMMARY EXERCISES Applying Methods for Solving Linear Equations
	2.5 Applications of Linear Equations
	2.6 Formulas and Additional Applications from Geometry
	2.7 Ratio, Proportion, and Percent
	2.8 Further Applications of Linear Equations
	2.9 Solving Linear Inequalities
	Chapter 2 Summary
	Chapter 2 Review Exercises
	Chapter 2 Mixed Review Exercises
	Chapter 2 Test
	Chapters R–2 Cumulative Review Exercises
3 Linear Equations in Two Variables
	3.1 Linear Equations and Rectangular Coordinates
	3.2 Graphing Linear Equations in Two Variables
	3.3 The Slope of a Line
	3.4 Slope-Intercept Form of a Linear Equation
	3.5 Point-Slope Form of a Linear Equation and Modeling
	SUMMARY EXERCISES Applying Graphing and Equation-Writing Techniques for Lines
	Chapter 3 Summary
	Chapter 3 Review Exercises
	Chapter 3 Mixed Review Exercises
	Chapter 3 Test
	Chapters R–3 Cumulative Review Exercises
4 Exponents and Polynomials
	4.1 The Product Rule and Power Rules for Exponents
	4.2 Integer Exponents and the Quotient Rule
	SUMMARY EXERCISES Applying the Rules for Exponents
	4.3 Scientific Notation
	4.4 Adding, Subtracting, and Graphing Polynomials
	4.5 Multiplying Polynomials
	4.6 Special Products
	4.7 Dividing Polynomials
	Chapter 4 Summary
	Chapter 4 Review Exercises
	Chapter 4 Mixed Review Exercises
	Chapter 4 Test
	Chapters R–4 Cumulative Review Exercises
5 Factoring and Applications
	5.1 Greatest Common Factors; Factoring by
 Grouping
	5.2 Factoring Trinomials
	5.3 More on Factoring Trinomials
	5.4 Special Factoring Techniques
	SUMMARY EXERCISES Recognizing and Applying Factoring Strategies
	5.5 Solving Quadratic Equations Using the Zero-Factor Property
	5.6 Applications of Quadratic Equations
	Chapter 5 Summary
	Chapter 5 Review Exercises
	Chapter 5 Mixed Review Exercises
	Chapter 5 Test
	Chapters R–5 Cumulative Review Exercises
6 Rational Expressions and Applications
	6.1 The Fundamental Property of Rational Expressions
	6.2 Multiplying and Dividing Rational Expressions
	6.3 Least Common Denominators
	6.4 Adding and Subtracting Rational Expressions
	6.5 Complex Fractions
	6.6 Solving Equations with Rational Expressions
	SUMMARY EXERCISES Simplifying Rational Expressions vs. Solving Rational Equations
	6.7 Applications of Rational Expressions
	Chapter 6 Summary
	Chapter 6 Review Exercises
	Chapter 6 Mixed Review Exercises
	Chapter 6 Test
	Chapters R–6 Cumulative Review Exercises
7 Linear Equations, Graphs, and Systems
	7.1 Review of Graphs and Slopes of Lines
	7.2 Review of Equations of Lines; Linear Models
	7.3 Solving Systems of Linear Equations by Graphing
	7.4 Solving Systems of Linear Equations by Substitution
	7.5 Solving Systems of Linear Equations by Elimination
	SUMMARY EXERCISES Applying Techniques for Solving Systems of Linear Equations
	7.6 Systems of Linear Equations in Three Variables
	7.7 Applications of Systems of Linear Equations
	Chapter 7 Summary
	Chapter 7 Review Exercises
	Chapter 7 Mixed Review Exercises
	Chapter 7 Test
	Chapters R–7 Cumulative Review Exercises
8 Inequalities and Absolute Value
	8.1 Review of Linear Inequalities in One Variable
	8.2 Set Operations and Compound Inequalities
	8.3 Absolute Value Equations and Inequalities
	SUMMARY EXERCISES Solving Linear and Absolute Value Equations and Inequalities
	8.4 Linear Inequalities and Systems in Two Variables
	Chapter 8 Summary
	Chapter 8 Review Exercises
	Chapter 8 Mixed Review Exercises
	Chapter 8 Test
	Chapters R–8 Cumulative Review Exercises
9 Relations and Functions
	9.1 Introduction to Relations and Functions
	9.2 Function Notation and Linear Functions
	9.3 Polynomial Functions, Graphs, Operations, and Composition
	9.4 Variation
	Chapter 9 Summary
	Chapter 9 Review Exercises
	Chapter 9 Mixed Review Exercises
	Chapter 9 Test
	Chapters R–9 Cumulative Review Exercises
10 Roots, Radicals, and Root Functions
	10.1 Radical Expressions and Graphs
	10.2 Rational Exponents
	10.3 Simplifying Radicals, the Distance Formula, and Circles
	10.4 Adding and Subtracting Radical Expressions
	10.5 Multiplying and Dividing Radical Expressions
	SUMMARY EXERCISES Performing Operations with Radicals and Rational Exponents
	10.6 Solving Equations with Radicals
	10.7 Complex Numbers
	Chapter 10 Summary
	Chapter 10 Review Exercises
	Chapter 10 Mixed Review Exercises
	Chapter 10 Test
	Chapters R–10 Cumulative Review Exercises
11 Quadratic Equations, Inequalities, and Functions
	11.1 Solving Quadratic Equations by the Square Root Property
	11.2 Solving Quadratic Equations by Completing the Square
	11.3 Solving Quadratic Equations by the Quadratic Formula
	11.4 Equations That Lead to Quadratic Methods
	SUMMARY EXERCISES Applying Methods for Solving Quadratic Equations
	11.5 Formulas and Further Applications
	11.6 Graphs of Quadratic Functions
	11.7 More about Parabolas and Their Applications
	11.8 Polynomial and Rational Inequalities
	Chapter 11 Summary
	Chapter 11 Review Exercises
	Chapter 11 Mixed Review Exercises
	Chapter 11 Test
	Chapters R–11 Cumulative Review Exercises
12 Inverse, Exponential, and Logarithmic Functions
	12.1 Inverse Functions
	12.2 Exponential Functions
	12.3 Logarithmic Functions
	12.4 Properties of Logarithms
	12.5 Common and Natural Logarithms
	12.6 Exponential and Logarithmic Equations
	Chapter 12 Summary
	Chapter 12 Review Exercises
	Chapter 12 Mixed Review Exercises
	Chapter 12 Test
	Chapters R–12 Cumulative Review Exercises
13 Nonlinear Functions, Conic Sections, and Nonlinear Systems
	13.1 Additional Graphs of Functions
	13.2 Circles Revisited and Ellipses
	13.3 Hyperbolas and Functions Defined by Radicals
	13.4 Nonlinear Systems of Equations
	13.5 Second-Degree Inequalities and Systems of Inequalities
	Chapter 13 Summary
	Chapter 13 Review Exercises
	Chapter 13 Mixed Review Exercises
	Chapter 13 Test
	Chapters R–13 Cumulative Review Exercises
14 Further Topics in Algebra
	14.1 Sequences and Series
	14.2 Arithmetic Sequences
	14.3 Geometric Sequences
	14.4 The Binomial Theorem
	Chapter 14 Summary
	Chapter 14 Review Exercises
	Chapter 14 Mixed Review Exercises
	Chapter 14 Test
	Chapters R–14 Cumulative Review Exercises
Appendix A Review of Exponents, Polynomials, and Factoring (Transition from Beginning to Intermediate Algebra)
Appendix B Synthetic Division
Answers to Selected Exercises
Photo Credits
	Study Skills
	Chapter R
	Chapter 1
	Chapter 2
	Chapter 3
	Chapter 4
	Chapter 5
	Chapter 6
	Chapter 7
	Chapter 8
	Chapter 9
	Chapter 10
	Chapter 11
	Chapter 12
	Chapter 13
	Chapter 14
Index
	A
	B
	C
	D
	E
	F
	G
	H
	I
	J
	L
	M
	N
	O
	P
	Q
	R
	S
	T
	U
	V
	W
	X
	Y
	Z
End Papers