Elementary & Intermediate Algebra
Inbunden, Engelska, 2013
3 949 kr
Produktinformation
- Utgivningsdatum2013-01-30
- Mått225 x 285 x 45 mm
- Vikt2 593 g
- FormatInbunden
- SpråkEngelska
- Upplaga3
- FörlagPearson Education (US)
- ISBN9780321880116
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Michael Sullivan, III is a full-time professor of mathematics at Joliet Jr. College. His training is in mathematics, statistics, and economics and he has more than 18 years experience as an instructor. His publications with Pearson cover developmental math, precalculus, and introductory statistics. Most recently, Mike has been highly involved in Course Redesign at Joliet Junior College. His experience in course redesign and writing texts for the college-level math and statistics courses gives him a unique insight into where students are headed after the developmental math track, and what they need to do to be successful. Mike is the father of three children and an avid golfer. Katherine Struve is a full-time instructor with Columbus State Community College and has more than 30 years experience in the classroom. She is in tune with the challenges of teaching mathematics at a large, urban community college. She has served as the Lead Instructor of Developmental Mathematics and has been involved in the recent course redesign effort at Columbus State. Janet Mazzarella is a full-time instructor at Southwestern College and has more than 18 years experience teaching a wide range of courses from arithmetic through calculus. She helped develop the self-paced developmental math program and spent two years serving as its director. Along with Mike and Kathy, Janet has also been active in the course redesign initiative at her institution.
- 1. Operations on Real Numbers and Algebraic Expressions1.1 Success in Mathematics1.2 Fractions, Decimals, and Percents1.3 The Number Systems and the Real Number Line1.4 Adding, Subtracting, Multiplying, and Dividing Integers1.5 Adding, Subtracting, Multiplying, and Dividing Rational NumbersPutting the Concepts Together (Sections 1.2–1.5)1.6 Properties of Real Numbers1.7 Exponents and the Order of Operations1.8 Simplifying Algebraic ExpressionsChapter 1 Activity: The Math GameChapter 1 ReviewChapter 1 Test 2. Linear Equations and Inequalities in One Variable2.1 Linear Equations: The Addition and Multiplication Properties of Equality2.2 Linear Equations: Using the Properties Together2.3 Solving Linear Equations Involving Fractions and Decimals; Classifying Equations2.4 Evaluating Formulas and Solving Formulas for a VariablePutting the Concepts Together (Sections 2.1–2.4)2.5 Problem Solving: Direct Translation2.6 Problem Solving: Problems Involving Percent2.7 Problem Solving: Geometry and Uniform Motion2.8 Solving Linear Inequalities in One VariableChapter 2 Activity: Pass to the RightChapter 2 ReviewChapter 2 TestCumulative Review Chapters 1–2 3. Introduction to Graphing and Linear Equations in Two Variables3.1 The Rectangular Coordinate System and Linear Equations in Two Variables3.2 Graphing Linear Equations in Two Variables 3.3 Slope3.4 Slope-Intercept Form of a Line3.5 Point-Slope Form of a Line3.6 Parallel and Perpendicular LinesPutting the Concepts Together (Sections 3.1–3.6)3.7 Linear Inequalities in Two VariablesChapter 3 Activity: Graphing PracticeChapter 3 ReviewChapter 3 TestCumulative Review Chapters 1–3 4. Systems of Linear Equations and Inequalities4.1 Solving Systems of Linear Equations by Graphing4.2 Solving Systems of Linear Equations Using Substitution4.3 Solving Systems of Linear Equations Using EliminationPutting the Concepts Together (Sections 4.1–4.3)4.4 Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations4.5 Solving Mixture Problems Using Systems of Linear Equations4.6 Systems of Linear InequalitiesChapter 4 Activity: Find the NumbersChapter 4 ReviewChapter 4 TestCumulative Review Chapters 1–4 5. Exponents and Polynomials5.1 Adding and Subtracting Polynomials5.2 Multiplying Monomials: The Product and Power Rules5.3 Multiplying Polynomials5.4 Dividing Monomials: The Quotient Rule and Integer ExponentsPutting the Concepts Together (Sections 5.1–5.4)5.5 Dividing Polynomials5.6 Applying the Exponent Rules: Scientific NotationChapter 5 Activity: What Is the Question?Chapter 5 ReviewChapter 5 TestCumulative Review Chapters 1–5 6. Factoring Polynomials6.1 Greatest Common Factor and Factoring by Grouping6.2 Factoring Trinomials of the Form x2 + bx + c6.3 Factoring Trinomials of the Form ax2 + bx + c, a ≠ 16.4 Factoring Special Products6.5 Summary of Factoring TechniquesPutting the Concepts Together (Sections 6.1–6.5)6.6 Solving Polynomial Equations by Factoring6.7 Modeling and Solving Problems with Quadratic EquationsChapter 6 Activity: Which One Does Not Belong?Chapter 6 ReviewChapter 6 TestCumulative Review Chapters 1–6 Getting Ready for Intermediate Algebra: A Review of Chapters 1–6 7. Rational Expressions and Equations7.1 Simplifying Rational Expressions7.2 Multiplying and Dividing Rational Expressions7.3 Adding and Subtracting Rational Expressions with a Common Denominator7.4 Finding the Least Common Denominator and Forming Equivalent Rational Expressions7.5 Adding and Subtracting Rational Expressions with Unlike Denominators7.6 Complex Rational ExpressionsPutting the Concepts Together (Sections 7.1–7.6)7.7 Rational Equations7.8 Models Involving Rational EquationsChapter 7 Activity: Correct the QuizChapter 7 ReviewChapter 7 TestCumulative Review Chapters 1–6 Getting Ready for Intermediate Algebra: A Review of Chapters 1–7 Getting Ready for Chapter 8: Interval Notation 8. Graphs, Relations, and Functions8.1 Graphs of Equations8.2 Relations8.3 An Introduction to Functions8.4 Functions and Their GraphsPutting the Concepts Together (Sections 8.1–8.4)8.5 Linear Functions8.6 Compound Inequalities8.7 Absolute Value Equations and Inequalities8.8 VariationChapter 8 Activity: Shifting DiscoveryChapter 8 ReviewChapter 8 TestChapters 1–8 Cumulative Review 9. Radicals and Rational Exponents9.1 Square Roots9.2 nth Roots and Rational Exponents9.3 Simplify Expressions Using the Laws of Exponents9.4 Simplifying Radical Expressions9.5 Adding, Subtracting, and Multiplying Radical Expressions9.6 Rationalizing Radical ExpressionsPutting the Concepts Together (Sections 9.1–9.6)9.7 Functions Involving Radicals9.8 Radical Equations and Their Applications9.9 The Complex Number SystemChapter 9 Activity: Which One Does Not Belong? Chapter 9 ReviewChapter 9 TestCumulative Review Chapters 1–9 10. Quadratic Equations and Functions10.1 Solving Quadratic Equations by Completing the Square10.2 Solving Quadratic Equations by the Quadratic Formula10.3 Solving Equations Quadratic in FormPutting the Concepts Together (Sections 10.1–10.3)10.4 Graphing Quadratic Functions Using Transformations10.5 Graphing Quadratic Functions Using Properties10.6 Polynomial Inequalities10.7 Rational InequalitiesChapter 10 Activity: Presidential Decision MakingChapter 10 ReviewChapter 10 TestCumulative Review Chapters 1–10 11. Exponential and Logarithmic Functions11.1 Composite Functions and Inverse Functions11.2 Exponential Functions11.3 Logarithmic FunctionsPutting the Concepts Together (Sections 11. 1–11.3)11.4 Properties of Logarithms11.5 Exponential and Logarithmic Equations Chapter 11 Activity: Correct the QuizChapter 11 ReviewChapter 11 TestCumulative Review Chapters 1–11 12. Conics12.1 Distance and Midpoint Formulas12.2 Circles12.3 Parabolas12.4 Ellipses12.5 HyperbolasPutting the Concepts Together (Sections 12.1–12.5)Nonlinear Systems of EquationsChapter 12 Activity: How Do You Know That…?Chapter 12 ReviewChapter 12 TestCumulative Review Chapters 1–12 13. Sequences, Series, and the Binomial Theorem13.1 Sequences13.2 Arithmetic Sequences13.3 Geometric Sequences and Series13.4 The Binomial TheoremChapter 13 Activity: Pass to the RightChapter 13 ReviewChapter 13 TestCumulative Review Chapters 1–13 Appendix A: Synthetic DivisionAppendix B: Geometry ReviewAppendix C: More on Systems of Linear EquationsAppendix D: Table of Square Roots Answers to Selected Exercises