Algebra Foundations: Basic Mathematics, Introductory Algebra, and Intermediate Algebra, 1st edition
Published by Pearson (July 3, 2014) © 2015
  • Marvin L. Bittinger
  • Judith A. Beecher
  • Barbara L. Johnson

Title overview

Objective: Guided Learning

 

The Bittinger Worktext Series recognizes that math hasn’t changed, but students–and the way they learn math–have. The new Bittinger All in One, Developmental Mathematics: Basic Math, Introductory Algebra, & Intermediate Algebra, offers everything needed to teach the full developmental math sequence in one flexible course solution.It continues the Bittinger tradition of objective-based, guided learning, while integrating timely updates to proven pedagogy. It has a greater emphasis on guided learning and helping students get the most out of all of the resources available, including new mobile learning resources, whether in a traditional lecture, hybrid, lab-based, or online course.

 

Teaching and Learning Experience
This program will provide a better teaching and learning experience for you and your students. Here’s how:

  • Improve results: MyMathLab® delivers improving results in helping students succeed and provides engaging experiences that personalize learning.
  • Guide students’ learning: The Bittinger team helps today’s math students stay on task by guiding them to understand what to do and when.
  • Reinforce study skills: The Bittinger program is equipped with tools and resources to help students develop effective study and learning habits that will help them in their college careers and beyond.
  • Provide an All in One solution with print support:The course is a complete All in One MyMathLab solution with everything needed for Basic Math, Introductory Algebra, and Intermediate Algebra. Additionally, the MyMathGuide is available for additional learning support and a printed version of the text can be ordered via Pearson Learning Solutions.

 

Improve Results With MyMathLab®: the Bittinger courses include all of MyMathLab’s robust features, plus these additional highlights.

  • Two MyMathLab course options are now available:
    • Standard MyMathLab courses allow instructors to build their courses their way, offering maximum flexibility and control over all aspects of assignment creation.
    • NEW! Ready to Go courses provide students with all the same great MyMathLab features, but also make it easier for instructors to get started with pre-built AND pre-assigned assignments. The Ready to Go courses also feature a new four-step Learning Path: 1.) Learn the Skills and Concepts, 2.) Check Your Understanding, 3.) Do Your Homework, 4.) Review and Test Your Understanding.
  • Coverage of skill-building, conceptual, and applications exercises, as well as assignable Guided-Solution exercises, Skill Checks, and Reading Checks.
  • Active Learning Figures, available for key concepts, foster conceptual understanding and are especially helpful for visual and tactile learners. Instructors can create media assignments with the figures.
  • Bittinger Video Program includes To-the-Point Objective Videos and Chapter Test Prep Videos. To-the-Point Objective Videos include Interactive Your Turn Exercises, where students solve exercises and receive instant feedback on their work. The videos also can be used hand-in-hand with the MyMathGuide workbook.
  • MyMathGuide: Notes, Practice, and Video Path is an objective-based workbook (available in print and in MyMathLab) that provides guided, hands-on learning. It offers vocabulary, skill, and concept review–along with problem-solving practice, where students can fill-in the steps to guided solution problems. It can be used together with the To-the-Point Objective Video program—and students can fill-in steps as they watch the videos, listen to the instructor lecture, or read the textbook. This loose-leaf workbook offers plenty of space to show work, write notes, and can serve as a good foundation for a hybrid or self-paced course notebook or lecture notes. MyMathGuide is incorporated into the Learning Path of the Ready to Go courses.
  • Accessibility Enhancements continue Pearson’s commitment to make products accessible to as many students as possible. This latest course release is compatible with the JAWS screen reader enabling print-disabled students to access and interact with numerous problems as noted by an icon within the assignment manager. The course also works with the ZoomText enlarger, and includes an HTML eBook that is compatible with JAWS and other Windows screen readers, allowing all students to access the same text, at the same place, and at the same price. Additionally, all videos include closed captioning.

 

Guide Students’ Learning–Students are encouraged to use Your Guide to Success in Math, a four-step Learning Path and checklist available in the MyMathLab course and incorporated into the Ready to Go MyMathLab courses. The guide will help students identify the resources in the textbook, supplements, and MyMathLab that support their learning style.

  • Step 1: Learn the Skills and Concepts–Students have several options for learning and practicing the math concepts.
    • Skills Checks: In the Learning Path for Ready to Go MyMathLab courses, each chapter begins with a brief assignment on the prerequisite skills needed for the chapter, giving students the chance to refresh and practice.
    • The Textbook / eText is a great starting point for students to learn the material. It includes the hallmark Bittinger pedagogy with Skill to Review exercises at the start of each section, and Margin Exercises, plus NEW! Guided Solutions. The Guided Solution exercises are select margin exercises within the text that allow students to fill-in the blanks to learn how to work through the problem. These problem types are also assignable in MyMathLab, where the exercises are broken down into smaller steps for students to fill-in as they work through the problem.
    • To-the-Point Objective Videos and MyMathGuide: Notes, Practice, and Video Path workbook are also the perfect resources for helping students learn the material.
  • Step 2: Check Your Understanding–Students have frequent opportunities to check their work and confirm that they understand skills and concepts before moving on:
    • NEW! Reading Checks at the beginning of each set of section exercises in the text ask students to demonstrate that they understand the material. They are incorporated in the Ready to Go Learning Path in MyMathLab and assignable in MyMathLab.
    • NEW! Active Learning Figures are also a great resource to help students understand the concepts.
  • Step 3: Do Your Homework–The text and MyMathLab course have a wealth of proven and updated exercises, including the assignable exercises in MyMathLab described above.
  • Step 4: Review and Test Your Understanding–Students have a variety of resources to check their skills and understanding along the way and to help them prepare for tests.
    • In the text, Mid-Chapter Reviews, Chapter Summary and Review, and Chapter Tests, offer students regular, comprehensive review and reinforcement. Chapter Test Prep Videos are also available to show worked-out solutions to all the end-of-chapter tests. These are accessible in MyMathLab and on YouTube.
    • In MyMathLab, instructors can assign prebuilt tests or create paper tests using TestGen® Software.

 

Reinforce Study Skills–Developing solid time-management, note-taking, test-taking, and other study skills is key to student success in math courses (as well as professionally and personally). Instructors can direct students to related study skills resources as needed.

  • Studying for Success: Checklists of study skills–designed to ensure that students develop the skills they need to succeed in math, school, and life–are integrated throughout the text at the beginning of selected sections.
  • Student Success Module in MyMathLab: This new, interactive module is available in the left-hand navigation of MyMathLab and includes videos, activities, and post-tests for these three student success areas:
    • Math-Reading Connections, including topics such as Using Word Clues, and Looking for Patterns.
    • Study Skills, including topics such as Time Management and Preparing for and Taking Exams.
    • College Success, including topics such as College Transition and Online Learning.
    • Instructors can assign these videos and/or activities as media assignments, along with pre-built post-tests to make sure students learn and understand how to improve their skills in these areas. Instructors can integrate these assignments with their traditional MyMathLab homework assignments to incorporate student success topics into their course as they deem appropriate.

 

PROVIDE AN ALL IN ONE SOLUTION WITH PRINT SUPPORT

This All in One Algebra Foundationshas everything for Basic Math, Introductory Algebra, and Intermediate Algebra in one easy-to-use solution. In addition to a full eText in MyMathLab, two printed options are available to provide additional support.

  • MyMathGuide is available in print and in MyMathLab, and can be packaged with a text or MyMathLab code.
  • A complete eText, is included in the MyMathLab course. Instructors who want to provide a printed book for their students can order this through Pearson Learning Solutions.

 

Key features

Highlights of the DIGITAL UPDATE for MyLab Math

Instructors, contact your sales rep to ensure you have the most recent version of the course. The Digital Update provides the most current features MyLab Math has to offer.

  • Skill Builder assignments ioffer adaptive practice to increase students' ability to complete their assignments. By monitoring student performance on their homework, Skill Builder adapts to each student's needs and provides just-in-time, in-assignment practice to help them improve their proficiency of key learning objectives.
  • A Mindset module offers growth mindset-focused videos and exercises that encourage students to maintain a positive attitude about learning, value their own ability to grow, and view mistakes as a learning opportunity.

Features of MyLab Math for the 1st Edition

  • Two MyLab Math course options: Standard MyLab Math courses allow instructors to build their courses their way, offering maximum flexibility and control over all aspects of assignment creation. Ready to Go courses provide students with all the same features, but also make it easier for instructors to get started with pre-built and pre-assigned assignments.
  • Skill-building, conceptual and applications exercises are provided along with assignable Guided-Solution exercises, Skill Checks, and Reading Checks. Active Learning Figures, available for key concepts, foster conceptual understanding and are especially helpful for visual and tactile learners. Instructors can create media assignments with the figures.
  • Bittinger Video Program includes To-the-Point Objective Videos and Chapter Test Prep Videos. To-the-Point Objective Videos include Interactive Your Turn Exercises, where students solve exercises and receive instant feedback on their work. The videos also can be used with the MyMathGuide workbook.
  • MyMathGuide: Notes, Practice, and Video Path is an objective-based workbook (available in print and in the MyLab) that provides guided, hands-on learning. It offers vocabulary, skill, and concept review, along with problem-solving practice where students can fill in the steps to guided solution problems. The loose-leaf version offers plenty of space to show work, write notes, and can serve as a good foundation for a hybrid or self-paced course notebook or lecture notes. MyMathGuide is incorporated into the Learning Path of the Ready to Go courses.

Table of contents

1. Whole Numbers

1.1 Standard Notation

1.2 Addition

1.3 Subtraction

1.4 Multiplication

1.5 Division

            Mid-Chapter Review

1.6 Rounding and Estimating; Order

1.7 Solving Equations

1.8 Applications and Problem Solving

            Translating for Success

1.9 Exponential Notation and Order of Operations

            Summary and Review

            Test

 

2. Fraction Notation: Multiplication and Division

2.1 Factorizations

2.2 Divisibility

2.3 Fractions and Fraction Notation

2.4 Multiplication and Applications

2.5 Simplifying

            Mid-Chapter Review

2.6 Multiplying, Simplifying, and Applications

2.7 Division and Applications

            Translating for Success

            Summary and Review

            Test

 

3. Fraction Notation and Mixed Numerals

3.1 Least Common Multiples

3.2 Addition and Applications

3.3 Subtraction, Order, and Applications

            Translating for Success

3.4 Mixed Numerals

            Mid-Chapter Review

3.5 Addition and Subtraction Using Mixed Numerals; Applications

3.6 Multiplication and Division Using Mixed Numerals; Applications

            Translating for Success

3.7 Order of Operations, Complex Fractions, and Estimation

            Summary and Review

            Test

            Cumulative Review

 

4. Decimal Notation

4.1 Decimal Notation, Order, and Rounding

4.2 Addition and Subtraction

4.3 Multiplication

4.4 Division

            Mid-Chapter Review

4.5 Converting from Fraction Notation

to Decimal Notation

4.6 Estimating

4.7 Applications and Problem Solving

            Translating for Success

            Summary and Review

            Test

            Cumulative Review

 

5. Ratio and Proportion

5.1 Introduction to Ratios

5.2 Rates and Unit Prices

5.3 Proportions

            Mid-Chapter Review

5.4 Applications of Proportions

            Translating for Success

5.5 Geometric Applications

            Summary and Review

            Test

            Cumulative Review

 

6. Percent Notation

6.1 Percent Notation

6.2 Percent Notation and Fraction Notation

6.3 Solving Percent Problems Using Percent Equations

6.4 Solving Percent Problems Using Proportions

            Mid-Chapter Review

6.5 Applications of Percent

            Translating for Success

6.6 Sales Tax, Commission, and Discount

6.7 Simple Interest and Compound Interest; Credit Cards

            Summary and Review

            Test

            Cumulative Review

 

7. Data, Graphs, and Statistics

7.1 Averages, Medians, and Modes

7.2 Interpreting Data from Tables and Graphs

            Mid-Chapter Review

7.3 Interpreting and Drawing Bar Graphs and Line Graphs

7.4 Interpreting and Drawing Circle Graphs

            Translating for Success

            Summary and Review

            Test

            Cumulative Review

 

8. Measurement

8.1 Linear Measures: American Units

8.2 Linear Measures: The Metric System

8.3 Converting Between American Units and Metric Units

            Mid-Chapter Review

8.4 Weight and Mass; Medical Applications

8.5 Capacity: Medical Applications

8.6 Time and Temperature

8.7 Converting Units of Area

            Translating for Success

            Summary and Review

            Test

            Cumulative Review

 

9. Geometry

9.1 Perimeter

9.2 Area

9.3 Circles

            Mid-Chapter Review

9.4 Volume

9.5 Angles and Triangles

9.6 Square Roots and the Pythagorean Theorem

            Translating for Success

            Summary and Review

            Test

            Cumulative Review

 

10. Introduction to Real Numbers and Algebraic Expressions

10.1 Introduction to Algebra

10.2 The Real Numbers

10.3 Addition of Real Numbers

10.4 Subtraction of Real Numbers

            Mid-Chapter Review

10.5 Multiplication of Real Numbers

10.6 Division of Real Numbers

10.7 Properties of Real Numbers

10.8 Simplifying Expressions;

Order of Operations

            Summary and Review

            Test

 

11. Solving Equations and Inequalities

11.1 Solving Equations: The Addition Principle

11.2 Solving Equations: The Multiplication Principle

11.3 Using the Principles Together

11.4 Formulas

            Mid-Chapter Review

11.5 Applications of Percent

11.6 Applications and Problem Solving

            Translating for Success

11.7 Solving Inequalities

11.8 Applications and Problem Solving with Inequalities

            Summary and Review

            Test

            Cumulative Review

 

12. Graphs of Linear Equations

12.1 Introduction to Graphing

12.2 Graphing Linear Equations

12.3 More with Graphing and Intercepts

            Visualizing for Success

            Mid-Chapter Review

12.4 Slope and Applications

            Summary and Review

            Test

            Cumulative Review

 

13. Polynomials: Operations

13.1 Integers as Exponents

13.2 Exponents and Scientific Notation

13.3 Introduction to Polynomials

13.4 Addition and Subtraction of Polynomials

            Mid-Chapter Review

13.5 Multiplication of Polynomials

13.6 Special Products

            Visualizing for Success

13.7 Operations with Polynomials in Several Variables

13.8 Division of Polynomials

            Summary and Review

            Test

            Cumulative Review

 

14. Polynomials: Factoring

14.1 Introduction to Factoring

14.2 Factoring Trinomials of the Type x2 + bx + c

14.3 Factoring ax2 + bx + c, a ≠ 1: The FOIL Method

14.4 Factoring ax2 + bx + c, a ≠ 1: The ac-Method

            Mid-Chapter Review

14.5 Factoring Trinomial Squares and Differences of Squares

14.6 Factoring Sums or Differences of Cubes

14.7 Factoring: A General Strategy

14.8 Solving Quadratic Equations by Factoring

14.9 Applications of Quadratic Equations

            Translating for Success

            Summary and Review

            Test

            Cumulative Review

 

15. Rational Expressions and Equations

15.1 Multiplying and Simplifying Rational Expressions

15.2 Division and Reciprocals

15.3 Least Common Multiples and Denominators

15.4 Adding Rational Expressions

15.5 Subtracting Rational Expressions

            Mid-Chapter Review

15.6 Complex Rational Expressions

15.7 Solving Rational Equations

15.8 Applications Using Rational Equations and Proportions

            Translating for Success

15.9 Variation and Applications

            Summary and Review

            Test

            Cumulative Review

 

16. Graphs, Functions, and Applications

16.1 Functions and Graphs

16.2 Finding Domain and Range

            Mid-Chapter Review

16.3 Linear Functions: Graphs and Slope

16.4 More on Graphing Linear Equations

            Visualizing for Success

16.5 Finding Equations of Lines; Applications

            Summary and Review

            Test

            Cumulative Review

 

17. Systems of Equations

17.1 Systems of Equations in Two Variables

17.2 Solving by Substitution

17.3 Solving by Elimination

17.4 Solving Applied Problems: Two Equations

            Translating for Success

            Mid-Chapter Review

17.5 Systems of Equations in Three Variables

17.6 Solving Applied Problems: Three Equations

            Summary and Review

            Test

            Cumulative Review

 

18. More on Inequalities

18.1 Sets, Inequalities, and Interval Notation

            Translating for Success

18.2 Intersections, Unions, and Compound Inequalities

            Mid-Chapter Review

18.3 Absolute-Value Equations and inequalities

18.4 Systems of Inequalities in Two Variables

            Visualizing for Success

            Summary and Review

            Test

            Cumulative Review

 

19. Radical Expressions, Equations, and Functions

19.1 Radical Expressions and Functions

19.2 Rational Numbers as Exponents

19.3 Simplifying Radical Expressions

19.4 Addition, Subtraction, and More Multiplication

            Mid-Chapter Review

19.5 More on Division of Radical Expressions

19.6 Solving Radical Equations

19.7 Applications Involving Powers and Roots

            Translating for Success

19.8 The Complex Numbers

            Summary and Review

            Test

            Cumulative Review

 

20. Quadratic Equations and Functions

20.1 The Basics of Solving Quadratic Equations

20.2 The Quadratic Formula

20.3 Applications Involving Quadratic Equations

            Translating for Success

20.4 More on Quadratic Equations

            Mid-Chapter Review

20.5 Graphing f(x) = a(x - h)2 + k

20.6 Graphing f(x) = ax2 + bx + c

            Visualizing for Success

20.7 Mathematical Modeling with Quadratic functions

20.8 Polynomial Inequalities and Rational Inequalities

            Summary and Review

            Test

            Cumulative Review

 

21. Exponential Functions and Logarithmic Functions

21.1 Exponential Functions

21.2 Composite Functions and Inverse Functions

21.3 Logarithmic Functions

21.4 Properties of Logarithmic Functions

            Mid-Chapter Review

21.5 Natural Logarithmic Functions

            Visualizing for Success

21.6 Solving Exponential Equations and Logarithmic Equations

21.7 Mathematical Modeling with Exponential Functions and Logarithmic Functions

            Translating For Success

            Summary and Review

            Test

            Cumulative Review

 

Appendices

A. Synthetic Division

B. Determinants and Cramer’s Rule

C. Elimination Using Matrices

D. The Algebra of Functions

E. Distance, Midpoints, and Circles

 

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