Connect Math Hosted by ALEKS Online Access 52 Weeks for Intermediate Algebra

© 2018
by Julie Miller, Molly O'neill, Nancy Hyde

5th Edition Electronic book text
9781259948947 1259948943
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The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Intermediate Algebra 4e. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students. Throughout the text, the authors communicate to students the very points their instructors are likely to make during lecture, and this helps to reinforce the concepts and provide instruction that leads students to mastery and success. Also included are Problem Recognition Exercises, designed to help students recognize which solution strategies are most appropriate for a given exercise. These types of exercises, along with the number of practice problems and group activities available, permit instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-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.

Intermediate Algebra 5e

Reference: Review of Basic Algebraic Concepts

R.1 Study SkillsR.2 Sets of Numbers and Interval NotationR.3 Operations of Real NumbersR.4 Simplifying Algebraic Expressions

Chapter 1: Linear Equations and Inequalities in One Variable

1.1 Linear Equations in One Variable

Problem Recognition Exercises-Equations versus Expressions

1.2 Applications of Linear Equations in One Variable 1.3 Applications of Geometry and Literal Equations1.4 Linear Inequalities in One Variable1.5 Compound Inequalities1.6 Absolute Value Equations1.7 Absolute Value Inequalities

Problem Recognition Exercises-Identifying Equations and Inequalities

Chapter 2: Linear Equations in Two Variables and Functions

2.1 Linear Equations in Two Variables2.2 Slope of a Line and Rate of Change2.3 Equations of a Line

Problem Recognition Exercises-Characteristics of Linear Equations

2.4 Applications of Linear Equations and Modeling2.5 Introduction to Relations2.6 Introduction to Functions2.7 Graphs of Functions

Problem Recognition Exercises-Characteristics of Relations

Chapter 3: Systems of Linear Equations and Inequalities

3.1 Solving Systems of Linear Equations by the Graphing Method3.2 Solving Systems of Linear Equations by the Substitution Method3.3 Solving Systems of Linear Equations by the Addition Method

Problem Recognition Exercises-Solving Systems of Linear Equations

3.4 Applications of Systems of Linear Equations in Two Variables3.5 Linear Inequalities and Systems of Linear Inequalities in Two Variables3.6 Systems of Linear Equations in Three Variables and Applications3.7 Solving Systems of Linear Equations by Using Matrices

Chapter 4: Polynomials

4.1 Properties of Integer Exponents and Scientific Notation4.2 Addition and Subtraction of Polynomials and Polynomials Functions4.3 Multiplication of Polynomials4.4 Division of Polynomials

Problem Recognition Exercises-Operations on Polynomials

4.5 Greatest Common Factor and Factoring by Grouping4.6 Factoring Trinomials4.7 Factoring Binomials

Problem Recognition Exercises-Factoring Summary

4.8 Solving Equations by Using the Zero Product Rule

Chapter 5: Rational Expressions and Rational Equations

5.1 Rational Expressions and Rational Functions5.2 Multiplication and Division of Rational Expressions5.3 Addition and Subtraction of Rational Expressions5.4 Complex Fractions

Problem Recognition Exercises-Operations on Rational Expressions

5.5 Solving Rational Equations

Problem Recognition Exercises-Rational Equations versus Expressions

5.6 Applications of Rational Equations and ProportionsVariation

Chapter 6: Radicals and Complex Numbers

6.1 Definition of an nth Root6.2 Rational Exponents6.3 Simplifying Radical Expressions6.4 Addition and Subtraction of Radicals6.5 Multiplication of Radicals

Problem Recognition Exercises-Simplifying Radical Expressions

6.6 Division of Radicals and Rationalization6.7 Solving Radical Equations6.8 Complex Numbers

Chapter 7: Quadratic Equations, Functions and Inequalities

7.1 Square Root Property and Completing the Square7.2 Quadratic Formula7.3 Equations in Quadratic Form

Problem Recognition Exercises-Quadratic and Quadratic Type Equations

7.4 Graphs of Quadratic Functions7.5 Vertex of a Parabola: Applications and Modeling7.6 Polynomial and Rational Inequalities

Problem Recognition Exercises-Recognizing Equations and Inequalities

Chapter 8: Exponential and Logarithmic Functions and Applications

8.1 Algebra of Functions and Composition8.2 Inverse Functions8.3 Exponential Functions8.4 Logarithmic Functions

Problem Recognition Exercises-Identifying Graphs of Functions

8.5 Properties of Logarithms8.6 The Irrational Number e and Change of Base

Problem Recognition Exercises-Logarithmic and Exponential Forms

8.7 Logarithmic and Exponential Equations and Applications

Chapter 9: Conic Sections

9.1 Distance Formula, Midpoint Formula, and Circles9.2 More on the Parabola9.3 The Ellipse and Hyperbola

Problem Recognition Exercises-Formulas and Conic Sections

9.4 Nonlinear systems of Equations in Two Variables9.5 Nonlinear Inequalities and Systems of Inequalities

Chapter 10: Binomial Expansions, Sequences, and Series

10.1 Binomial Expansions10.2 Sequences and Series10.3 Arithmetic Sequences and Series10.4 Geometric Sequences and Series

Problem Recognition Exercises-Identifying Arithmetic and Geometric Series

Chapter 11 (Online): Transformations, Piecewise-Defined Functions, and Probability

11.1 Transformations of Graphs and Piecewise-Defined Functions11.2 Fundamentals of Counting11.3 Introduction to Probability

Additional Topics Appendix

A.1 Determinants and Cramer's Rule
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Connect Math Hosted by ALEKS Connect Math Hosted by ALEKS Corp. is an exciting new assignment and assessment ehomework platform. Instructors can assign an AI-driven ALEKS Assessment to identify the strengths and weaknesses of each student at the beginning of the term rather than after the first exam. Assignment creation and navigation is efficient and intuitive and the gradebook, based on instructor feedback, has a straightforward design and allows flexibility to import and export additional grades. The online exercises and guided solutions were developed with the help of our experienced instructors and ALEKS Corporation to ensure consistency between the text and digital resources.




Retained Features

Step-by-Step Worked Examples The worked examples offer a clear, concise methodology that replicates the mathematical processes used in the authors? classroom lectures.



Classroom Examples To ensure that the classroom experience also matches the examples in the text and the practice exercises, the authors have included references to even-numbered exercises to be used as classroom examples. These exercises are highlighted in the Practice Exercises at the end of each section.

Chapter Openers The chapter openers help students get better results through engaging Puzzles and Games that introduce the chapter concepts and ask `Are you prepared?"

Tip and Avoiding Mistakes Boxes Tip and Avoiding Mistakes boxes have been created based on the authors? classroom experiences and have been integrated into the worked examples. Thee pedagogical tools will help students get better results by learning how to work through a problem using clearly defined step-by-step methodology.

Problem Recognition Exercises Problem Recognition Exercises present a collection of problems that look similar to a student upon first glance, but are actually quite different in the manner of their individual solutions. Students sharpen critical thinking skills and better develop their `solution recall? to help them distinguish the method needed to solve an exercise, an essential skill in developmental mathematics.

Student Centered Applications The Board of Advisors partnered with our authors to bring the best applications from every region in the country. These applications include real data and topics that are more relevant and interesting to today's student.

Group Activities Each chapter concludes with a Group Activity to promote classroom discussion and collaboration, helping students not only to solve problems but to explain their solutions for better mathematical mastery. Group Activities are great for both full-time and adjunct instructors, bringing a more interactive approach to teaching mathematics. All required materials, activity time, and suggested group sixes are provided in the end-of-chapter material.

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