Description:
Miller/O'Neill/Hyde, built by teachers just like you, continues continues to offer an enlightened approach grounded in the fundamentals of classroom experience in the 2nd edition of Intermediate Algebra. The practice of many instructors in the classroom is to present examples and have their students solve similar problems. This is realized through the Skill Practice Exercises that directly follow the examples in the textbook. Throughout the text, the authors have integrated many Study Tips and Avoiding Mistakes hints, which are reflective of the comments and instruction presented to students in the classroom. In this way, the text communicates to students, the very points their instructors are likely to make during lecture, helping to reinforce the concepts and provide instruction that leads students to mastery and success. The authors included in this edition, Problem-Recognition exercises, that many instructors will likely identify to be similar to worksheets they have personally developed for distribution to students. The intent of the Problem-Recognition exercises, is to help students overcome what is sometimes a natural inclination toward applying problem-sovling algorithms that may not always be appropriate. In addition, the exercise sets have been revised to include even more core exercises than were present in the first edition. This permits instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills and develop the knowledge they need to make a successful transition into College Algebra. In this way, the book perfectly complements any learning platform, whether traditional lecture ordistance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class, as they do inside class with their instructor. For even more support, students have access to a wealth of supplements, including McGraw-Hill’s online homework management system, MathZone.
Contents
Chapter 1:Review of Basic Algebraic Concepts
1.1Sets of Numbers and Interval Notation
1.2Operations on Real Numbers
1.3Simplifying Expressions
1.4Linear Equations in One Variable
1.5Applications of Linear Equations in One Variable
1.6Literal Equations and Applications to Geometry
1.7Linear Inequalities in One Variable
1.8Properties of Integer Exponents and Scientific Notation
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Test
Chapter 2:Linear Equations in Two Variables
2.1Rectangular Coordinate System and Midpoint Formula
2.2Linear Equations in Two Variables
2.3Slope of a Line
2.4Equations of a Line
2.5Applications of Linear Equations and Graphing
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Test
Chapter 3: Systems of Linear Equations
3.1Solving Systems of Linear Equations by Graphing
3.2Solving Systems of Equations by Using the Substitution Method
3.3Solving Systems of Equations by Using the Addition Method
3.4Applications of Systems of Linear Equations in Two Variables
3.5Systems of Linear Equations in Three Variables and Applications
3.6Solving Systems of Linear Equations by Using Matrices
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Test
Cumulative Review
Chapter 4:Introduction to Relations and Functions
4.1Introduction to Relations
4.2Introduction to Functions
4.3Graphs of Functions
4.4Variation
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Test
Chapter 5:Polynomials
5.1Addition and Subtraction of Polynomials and Polynomial Functions
5.2Multiplication of Polynomials
5.3Division of Polynomials
5.4Greatest Common Factor and Factoring by Grouping
5.5Factoring Trinomials
5.6Factoring Binomials
5.7Solving Equations by Using the Zero Product Rule
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Test
Chapter 6:Rational Expressions and Rational Equations
6.1Rational Expressions and Rational Functions
6.2Multiplication and Division of Rational Expressions
6.3Addition and Subtraction of Rational Expressions
6.4Complex Fractions Mixed Review Exercises ? Operations on Rational Expressions
6.5Rational Equations
6.6Applications of Rational Equations and Proportions
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Test Cumulative Review
Chapter 7:Radicals and Complex Numbers
7.1Definition of an nth Root
7.2Rational Exponents
7.3Simplifying Radical Expressions
7.4Addition and Subtraction of Radicals
7.5Multiplication of Radicals
7.6Rationalization
7.7Radical Equations
7.8Complex Numbers
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Test
Chapter 8:Quadratic Equations and Functions
8.1Square Root Property and Completing the Square
8.2Quadratic Formula
8.3Equations in Quadratic Form
8.4Graphs of Quadratic Functions
8.5Vertex of a Parabola and Applications
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Test
Chapter 9:More Equations and Inequalities
9.1Compound Inequalities
9.2Polynomial and Rational Inequalities
9.3Absolute Value Equations
9.4Absolute Value Inequalities Mixed Review Exercises ? Equations and Inequalities
9.5Linear Inequalities in Two Variables
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Test Cumulative Review
Chapter 10:Exponential and Logarithmic Functions
10.1Algebra and Composition of Functions
10.2Inverse Functions
10.3Exponential Functions
10.4Logarithmic Functions
10.5Properties of Logarithms
10.6The Irrational Number e
10.7Logarithmic and Exponential Equations
Chapter 10 Summary
Chapter 10 Review Exercises
Chapter 10 Test
Chapter 11:Conic Sections
11.1Distance Formula and Circles
11.2More on the Parabola
11.3The Ellipse and Hyperbola
11.4Nonlinear Systems of Equations in Two Variables
11.5Nonlinear Inequalities and Systems of Inequalities
Chapter 11 Summary
Chapter 11 Review Exercises
Chapter 11 Test Cumulative Review
Appendix
A.1Binomial Expansions
A.2Determinants and Cramer's Rule
A.3Sequences and Series
A.4Arithmetic and Geometric Sequences and Series Student Answer Appendix