Beginning and Intermediate Algebra

Title
Table of Contents
1. The Real Number System and Geometry
	1.1 Review of Fractions
	1.2 Exponents and Order of Operations
	1.3 Geometry Review
	1.4 Sets of Numbers and Absolute Value
	1.5 Addition and Subtraction of Real Numbers
	1.6 Multiplication and Division of Real Numbers
	1.7 Algebraic Expressions and Properties of Real Numbers
	Summary
	Review Exercises
	Test
2. The Rules of Exponents
	2.1 Basic Rules of Exponents
		2.1a The Product Rule and Power Rules
		2.1b Combining the Rules
	2.2 Integer Exponents
		2.2a Real-Number Bases
		2.2b Variable Bases
	2.3 The Quotient Rule
		Putting It All Together
	2.4 Scientific Notation
	Summary
	Review Exercises
	Test
	Chapters 1–2
3. Linear Equations and Inequalities
	3.1 Solving Linear Equations Part I
	3.2 Solving Linear Equations Part II
	3.3 Applications of Linear Equations
	3.4 Applications Involving Percentages
	3.5 Geometry Applications and Solving Formulas
	3.6 Applications of Linear Equations to Proportions, Money Problems, and d � rt
	3.7 Solving Linear Inequalities in One Variable
	3.8 Solving Compound Inequalities
	Summary
	Review Exercises
	Test
	Chapters 1–3
4. Linear Equations in Two Variables
	4.1 Introduction to Linear Equa-tions in Two Variables
	4.2 Graphing by Plotting Points and Finding Intercepts
	4.3 The Slope of a Line
	4.4 The Slope-Intercept Form of a Line
	4.5 Writing an Equation of a Line
	4.6 Introduction to Functions
	Summary
	Review Exercises
	Test
	Chapters 1–4
5. Solving Systems of Linear Equations
	5.1 Solving Systems by Graphing
	5.2 Solving Systems by the Substitution method
	5.3 Solving Systems by the Elimination Method
		Putting It All Together
	5.4 Applications of Systems of Two Equations
	5.5 Solving Systems of Three Equations and Applications
	Summary
	Review Exercises
	Test
	Chapters 1–5
6. Polynomials
	6.1 Review of the Rules of Exponents
	6.2 Addition and Subtraction of Polynomials
	6.3 Multiplication of Polynomials
	6.4 Division of Polynomials
	Summary
	Review Exercises
	Test
	Chapters 1–6
7. Factoring Polynomials
	7.1 The Greatest Common Factor and Factoring by Grouping
	7.2 Factoring Trinomials of the Form x2 + bx + c
	7.3 Factoring Trinomials of the Form ax2 + bx + c(a - 1 )
	7.4 Factoring Special Trinomials and Binomials
		Putting It All Together
	7.5 Solving Quadratic Equations by Factoring
	7.6 Applications of Quadratic Equations
	Summary
	Review Exercises
	Test
	Chapters 1–7
8. Rational Expressions
	8.1 Simplifying Rational Expressions
	8.2 Multiplying and Dividing Rational Expressions
	8.3 Finding the Least Common Denominator
	8.4 Adding and Subtracting Rational Expressions
		Putting It All Together
	8.5 Simplifying Complex Fractions
	8.6 Solving Rational Equations
	8.7 Applications of Rational Equations
	Summary
	Review Exercises
	Test
	Chapters 1–8
9. More Equations and Inequalities
	9.1 Solving Absolute Value Equations
	9.2 Solving Absolute Value Inequalities
	9.3 Solving Linear and Compound Linear Inequalities in Two Variables
	9.4 Solving Systems of Linear Equations Using Matrices
	Summary
	Review Exercises
	Test
	Chapters 1–9
10 .Radicals and Rational Exponents
	10.1 Finding Roots
	10.2 Rational Exponents
	10.3 Simplifying Expressions Containing Square Roots
	10.4 Simplifying Expressions Containing Higher Roots
	10.5 Adding, Subtracting, and Multiplying Radicals
	10.6 Dividing Radicals
		Putting It All Together
	10.7 Solving Radical Equations
	10.8 Complex Numbers
	Summary
	Review Exercises
	Test
	Chapters 1–10
11. Quadratic Equations
	11.1 Review of Solving Equations by Factoring
	11.2 The Square Root Property and Completing the Square
	11.3 The Quadratic Formula
		Putting It All Together
	11.4 Equations in Quadratic Form
	11.5 Formulas and Applications
	Summary
	Review Exercises
	Test
	Chapters 1–11
12. Functions and Their Graphs
	12.1 Relations and Functions
	12.2 Graphs of Functions and Transformations
	12.3 Quadratic Functions and Their Graphs
	12.4 Applications of Quadratic Functions and Graphing Other Parabolas
	12.5 The Algebra of Functions
	12.6 Variation
	Summary
	Review Exercises
	Test
	Chapters 1–12
13. Exponential and Logarithmic Functions
	13.1 Inverse Functions
	13.2 Exponential Functions
	13.3 Logarithmic Functions
	13.4 Properties of Logarithms
	13.5 Common and Natural Logarithms and Change of Base
	13.6 Solving Exponential and Logarithmic Equations
	Summary
	Review Exercises
	Chapter 13: Test
	Chapters 1–13
14. Conic Sections, and Nonlinear Nonlinear Inequalities, Systems
	14.1 The Circle
	14.2 The Ellipse and the Hyperbola
		Putting It All Together
	14.3 Nonlinear Systems of Equations
	14.4 Quadratic and Rational Inequalities
	Summary
	Review Exercises
	Test
	Chapters 1–14
15. Sequences and Series
	15.1 Sequences and Series
	15.2 Arithmetic Sequences and Series
	15.3 Geometric Sequences and Series
	15.4 The Binomial Theorem
	Summary
	Review Exercises
	Test
	Chapters 1–15
APPENDIX: Beginning Algebra Review
	A1: The Real Number System and Geometry
	A2: The Rules of Exponents
	A3: Linear Equations and Inequalities
	A4: Linear Equations in Two Variables
	A5: Solving Systems of Linear Equations
	A6: Polynomials
	A7: Factoring Polynomials
	A8: Rational Expressions
Answers to Exercises
Credits
Index