Synopses & Reviews
With a strong emphasis on mathematics of the real world, this text unites the concepts of elementary algebra and intermediate algebra in one volume.
The content, pedagogy, and design of ELEMENTARY AND INTERMEDIATE ALGEBRA are based on those of the successful copyright 2000 Dugopolski algebra series.
A midtext diagnostic review contains exercises based on the material contained in the first half of the text. The exercises are organized by chapter and section so that students can identify any chapters and sections that need further review.
Table of Contents
1 Real Numbers and Their Properties 1.1 The Real Numbers1.2 Fractions1.3 Addition and Subtraction of Real Numbers 1.4 Multiplication and Division of Real Numbers 1.5 Exponential Expressions and the Order of Operations1.6 Algebraic Expressions1.7 Properties of the Real Numbers 1.8 Using the Properties to Simplify Expressions2 Linear Equations in One Variable 2.1 The Addition and Multiplication Properties of Equality2.2 Solving General Linear Equations 2.3 Identities, Conditional Equations, and Inconsistent Equations 2.4 Formulas2.5 Translating Verbal Expressions into Algebraic Expressions2.6 Number, Geometric, and Uniform Motion Applications2.7 Discount, Investment, and Mixture Applications3 Inequalities in One Variable 3.1 Inequalities 3.2 Compound Inequalities 3.3 Absolute Value Equations and Inequalities 4 Linear Equations in Two Variables and Their Graphs4.1 Graphing Lines in the Coordinate Plane 4.2 Slope 4.3 Equations of Lines in Slope-Intercept and Standard Form 4.4 The Point-Slope Form 4.5 Applications of Linear Equations 4.6 Introduction to Functions 5 Polynomials and Exponents 5.1 Addition and Subtraction of Polynomials 5.2 Multiplication of Polynomials 5.3 Multiplication of Binomials 5.4 Special Products 5.5 Division of Polynomials 5.6 Positive Integral Exponents 5.7 Negative Exponents and Scientific Notation6 Factoring 6.1 Factoring Out Common Factors 6.2 Factoring the Special Products and Factoring by Grouping 6.3 Factoring ax2+bx+c with a=1 6.4 Factoring ax2+bx+c with a not=1 6.5 The Factoring Strategy 6.6 Solving Quadratic Equations by Factoring7 Rational Expressions 7.1 Reducing Rational Expressions 7.2 Multiplication and Division 7.3 Finding the Least Common Denominator 7.4 Addition and Subtraction 7.5 Complex Fractions 7.6 Solving Equations with Rational Expressions7.7 Applications of Ratios and Proportions 7.8 Applications of Rational Expressions Midtext Diagnostic Review8 Systems of Linear Equations 8.1 Solving Systems by Graphing and Substitution8.2 The Addition Method 8.3 Systems of Linear Equations in Three Variables8.4 Solving Linear Systems Using Matrices 8.5 Determinants and Cramer's Rule 8.6 Graphing Linear Inequalities in Two Variables8.7 Graphing Systems of Linear Inequalities 8.8 Linear Programming 9 Radicals and Rational Exponents 9.1 Radicals9.2 Rational Exponents9.3 Operations with Radicals9.4 More Operations with Radicals9.5 Solving Equations with Radicals and Exponents9.6 Complex Numbers10 Quadratic Equations, Functions, and Inequalities 10.1 Factoring and Completing the Square10.2 The Quadratic Formula10.3 Quadratic Functions and Their Graphs10.4 More on Quadratic Equations10.5 Quadratic and Rational Inequalities11 Functions11.1 Graphs of Functions and Relations 11.2 Transformations of Graphs 11.3 Combining Functions 11.4 Inverse Functions 11.5 Variation 11.6 Synthetic Division and the Factor Theorem12 Exponential and Logarithmic Functions12.1 Exponential Functions and Their Applications12.2 Logarithmic Functions and Their Applications12.3 Properties of Logarithms12.4 Solving Equations and Applications13 Nonlinear Systems and the Conic Sections13.1 Nonlinear Systems of Equations 13.2 The Parabola13.3 The Circle13.4 The Ellipse and Hyperbola13.5 Second-Degree Inequalities14 Sequences and Series 14.1 Sequences14.2 Series14.3 Arithmetic Sequences and Series14.4 Geometric Sequences and Series14.5 Binomial ExpansionsAppendix A Geometry ReviewAppendix B Table of Squares and Square RootsAppendix C Common LogarithmsAppendix D Answers to Selected Exercises