# Algebra Foundations: Prealgebra, Introductory Algebra & Intermediate Algebra, 2nd edition

Published by Pearson (January 2, 2019) © 2020

**Elayn Martin-Gay**University of New Orleans, Lakefront

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## MyLab

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For courses covering topics from Prealgebra, Introductory Algebra and Intermediate Algebra.

### The Martin-Gay principle: Every student can succeed

Part of Elayn Martin-Gay's acclaimed worktext series, **Algebra Foundations, 2nd Edition** is a comprehensive “all in 1” program that offers everything needed to teach Prealgebra, Introductory Algebra and Intermediate Algebra in 1 easy-to-use solution. With 3 courses' worth of material, instructors can pick and choose what content to cover and when they want to cover it. This content is designed to work for any course format and can even be used in a corequisite course, giving instructors a library of review material to support a credit-level corequisite course.

### Hallmark features of this title

**Study skills resources:****Section 1.1, Tips for Success in Mathematics**, in which Elayn covers important strategies for success, with videos for each objective.**Student Resources section**with Study Skill Builders, a Study Guide Outline, and Practice Final Exam**.**

**Helpful Hints**help students avoid common trouble areas.**Detailed step-by-step examples**and**practice margin exercises**paired with each example encourage students to participate in the learning.**Concept Checks**throughout the section allow students to gauge their grasp of an idea as it is presented.**Integrated Review**mid-chapter exercise sets provide students with mixed review, giving them the chance to assimilate new concepts they've learned over several sections.

### New and updated features of this title

**New Getting Ready for the Test**exercises precede each Chapter Test to check students' conceptual understanding of the topics in the chapter.- These multiple-choice or matching questions not only check for understanding, but also aim to catch common errors.
- Video Solutions for all exercises and premade Learning Catalytics questions for exercises noted in blue in the Annotated Instructor's Edition accompany these exercises.

**The new Key Concept and Activity Lab Workbook**is a great way to engage students in conceptual projects and exploration, as well as group work.- The Workbook includes Extension Exercises, Exploration Activities, Conceptual Exercises and Group Activities.

**Exercise sets**and applications have been refined and updated where appropriate.

**Features of MyLab Math for the 2nd Edition**

**Two versions of the MyLab Math course**now provide options for instructors' teaching approach and style: a “traditional” MyLab Math course and a new Interactive Assignment MyLab Math course.**Interactive Algebra Foundations**provides the full traditional course, plus new Interactive Assignments which allow students to "read a little, watch a little, do a little" in an integrated learning experience.- Interactive Algebra Foundations
**same organization of contents**as**Algebra Foundations 2nd Edition***,*and both provide the**full 2nd Edition eText**in the course. This allows departments and committees to adopt the same title on an institutional basis, but use whichever version of the MyLab course is best-suited to their course format and needs.

**Getting Ready for the Test video solutions**cover the Getting Ready for the Test exercises in the text, and contain brief explanations and reminders of material in the chapter. Where applicable, incorrect choices contain explanations.**Skill Builder**assignments offer adaptive practice that is designed to increase students' ability to complete their assignments.**All Vocabulary, Readiness, and Video Check questions**in the text are now assignable in MyLab Math. Vocabulary and Readiness Check questions are now available in Drag and Drop format.

**The Whole Numbers**- 1.1 Study Skill Tips for Success in Mathematics
- 1.2 Place Value, Names for Numbers, and Reading Tables
- 1.3 Adding and Subtracting Whole Numbers, and Perimeter
- 1.4 Rounding and Estimating
- 1.5 Multiplying Whole Numbers and Area
- 1.6 Dividing Whole Numbers
- Integrated Review–Operations on Whole Numbers

- 1.7 Exponents and Order of Operations
- 1.8 Introduction to Variables, Algebraic Expressions, and Equations

**Integers and Introduction to Solving Equations**- 2.1 Introduction to Integers
- 2.2 Adding Integers
- 2.3 Subtracting Integers
- 2.4 Multiplying and Dividing Integers
- Integrated Review–Integers

- 2.5 Order of Operations
- 2.6 Solving Equations: The Addition and Multiplication Properties

**Solving Equations and Problem Solving**- 3.1 Simplifying Algebraic Expressions
- 3.2 Solving Equations: Review of the Addition and Multiplication Properties
- Integrated Review–Expressions and Equations

- 3.3 Solving Linear Equations in One Variable
- 3.4 Linear Equations in One Variable and Problem Solving

**Fractions and Mixed Numbers**- 4.1 Introduction to Fractions and Mixed Numbers
- 4.2 Factors and Simplest Form
- 4.3 Multiplying and Dividing Fractions
- 4.4 Adding and Subtracting Like Fractions, Least Common Denominator, and Equivalent Fractions
- 4.5 Adding and Subtracting Unlike Fractions
- Integrated Review–Summary on Fractions and Operations on Fractions

- 4.6 Complex Fractions and Review of Order of Operations
- 4.7 Operations on Mixed Numbers
- 4.8 Solving Equations Containing Fractions

**Decimals**- 5.1 Introduction to Decimals
- 5.2 Adding and Subtracting Decimals
- 5.3 Multiplying Decimals and Circumference of a Circle
- 5.4 Dividing Decimals
- Integrated Review–Operations on Decimals

- 5.5 Fractions, Decimals, and Order of Operations
- 5.6 Solving Equations Containing Decimals
- 5.7 Decimal Applications: Mean, Median, and Mode

**Ratio, Proportion, and Percent**- 6.1 Ratio and Proportion
- 6.2 Percents, Decimals, and Fractions
- 6.3 Solving Percent Problems with Equations
- 6.4 Solving Percent Problems with Proportions
- Integrated Review–Ratio, Proportion, and Percent

- 6.5 Applications of Percent
- 6.6 Percent and Problem Solving: Sales Tax, Commission, and Discount
- 6.7 Percent and Problem Solving: Interest

**Graphs, Triangle Applications, and Introduction to Statistics and Probability**- 7.1 Pictographs, Bar Graphs, Histograms, Line Graphs, and Introduction to Statistics
- 7.2 Circle Graphs
- Integrated Review–Reading Graphs

- 7.3 Square Roots and the Pythagorean Theorem
- 7.4 Congruent and Similar Triangles
- 7.5 Counting and Introduction to Probability

**Geometry and Measurement**- 8.1 Lines and Angles
- 8.2 Perimeter
- 8.3 Area, Volume, and Surface Area
- Integrated Review–Geometry Concepts

- 8.4 Linear Measurement
- 8.5 Weight and Mass
- 8.6 Capacity
- 8.7 Temperature and Conversions Between the U.S. and Metric Systems

**Equations, Inequalities, and Problem Solving**- 9.1 Symbols and Sets of Numbers
- 9.2 Properties of Real Numbers
- 9.3 Further Solving Linear Equations
- Integrated Review–Real Numbers and Solving Linear Equations

- 9.4 Further Problem Solving
- 9.5 Formulas and Problem Solving
- 9.6 Linear Inequalities and Problem Solving

**Graphing**- 10.1 The Rectangular Coordinate System
- 10.2 Graphing Linear Equations
- 10.3 Intercepts
- 10.4 Slope and Rate of Change
- Integrated Review–Summary on Slope and Graphing Linear Equations

- 10.5 Equation of Lines
- 10.6 Functions

**Solving Systems of Linear Equations**- 11.1 Solving Systems of Linear Equations by Graphing
- 11.2 Solving Systems of Linear Equations by Substitution
- 11.3 Solving Systems of Linear Equations by Addition
- Integrated Review–Solving Systems of Equations

- 11.4 Solving Systems of Linear Equations in Three Variables
- 11.5 Systems of Linear Equations and Problem Solving

**Exponents and Polynomials**- 12.1 Exponents
- 12.2 Polynomial Functions and Adding and Subtracting Polynomials
- 12.3 Multiplying Polynomials
- 12.4 Special Products
- Integrated Review–Exponents and Operations on Polynomials

- 12.5 Negative Exponents and Scientific Notation
- 12.6 Dividing Polynomials
- 12.7 Synthetic Division and the Remainder Theorem

**Factoring Polynomials**- 13.1 The Greatest Common Factor and Factoring by Grouping
- 13.2 Factoring Trinomials of the Form
*x*^{2}*+ bx + c* - 13.3 Factoring Trinomials of the Form
*ax*^{2}*+ bx + c*and Perfect Square Trinomials - 13.4 Factoring Trinomials of the Form
*ax*^{2}*+ bx + c*by Grouping - 13.5 Factoring Binomials
- Integrated Review–Choosing a Factoring Strategy

- 13.6 Solving Quadratic Equations by Factoring
- 13.7 Quadratic Equations and Problem Solving

**Rational Expressions**- 14.1 Rational Functions and Simplifying Rational Expressions
- 14.2 Multiplying and Dividing Rational Expressions
- 14.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator
- 14.4 Adding and Subtracting Rational Expressions with Unlike Denominators
- 14.5 Solving Equations Containing Rational Expressions
- Integrated Review–Summary on Rational Expressions

- 14.6 Problem Solving with Proportions and Rational Equations
- 14.7 Simplifying Complex Fractions

**More on Functions and Graphs**- 15.1 Graphing and Writing Linear Functions
- 15.2 Reviewing Function Notation and Graphing Nonlinear Functions
- Integrated Review–Summary on Functions and Equations of Lines

- 15.3 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions
- 15.4 Variation and Problem Solving

**Inequalities and Absolute Value**- 16.1 Compound Inequalities
- 16.2 Absolute Value Equations
- 16.3 Absolute Value Inequalities
- Integrated Review–Solving Compound Inequalities and Absolute Value Equations and Inequalities

- 16.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities

**Rational Exponents, Radicals, and Complex Numbers**- 17.1 Radicals and Radical Functions
- 17.2 Rational Exponents
- 17.3 Simplifying Radical Expressions
- 17.4 Adding, Subtracting, and Multiplying Radical Expressions
- 17.5 Rationalizing Denominators and Numerators of Radical Expressions
- Integrated Review–Radicals and Rational Exponents

- 17.6 Radical Equations and Problem Solving
- 17.7 Complex Numbers

**Quadratic Equations and Functions**- 18.1 Solving Quadratic Equations by Completing the Square
- 18.2 Solving Quadratic Equations by the Quadratic Formula
- 18.3 Solving Equations by Using Quadratic Methods
- Integrated Review–Summary on Solving Quadratic Equations

- 18.4 Nonlinear Inequalities in One Variable
- 18.5 Quadratic Functions and Their Graphs
- 18.6 Further Graphing of Quadratic Functions

**Exponential and Logarithmic Functions**- 19.1 The Algebra of Functions: Composite Functions
- 19.2 Inverse Functions
- 19.3 Exponential Functions
- 19.4 Exponential Growth and Decay Functions
- 19.5 Logarithmic Functions
- 19.6 Properties of Logarithms
- Integrated Review–Functions and Properties of Logarithms

- 19.7 Common Logarithms, Natural Logarithms, and Change of Base
- 19.8 Exponential and Logarithmic Equations and Problem Solving

**Conic Sections**- 20.1 The Parabola and the Circle
- 20.2 The Ellipse and the Hyperbola
- Integrated Review–Graphing Conic Sections

- 20.3 Solving Nonlinear Systems of Equations
- 20.4 Nonlinear Inequalities and Systems of Inequalities

**Sequences, Series, and the Binomial Theorem**- 21.1 Sequences
- 21.2 Arithmetic and Geometric Sequences
- 21.3 Series
- Integrated Review–Sequences and Series

- 21.4 Partial Sums of Arithmetic and Geometric Sequences
- 21.5 The Binomial Theorem

### APPENDICES

**A. Tables**- A.1 Table of Geometric Figures
- A.2 Table of Percents, Decimals, and Fraction Equivalents
- A.3 Table on Finding Common Percents of a Number
- A.4 Table of Squares and Square Roots
- A.5 Geometric Formulas

**B. Review of Algebra Topics**- B.1 Equations (Linear and Quadratic Solved by Factoring)
- B.2 Mixture and Uniform Motion Problem Solving
- B.3 Graphing
- B.4 Polynomials and Factoring
- B.5 Rational Expressions

**C. Stretching and Compressing Graphs of Absolute Value Functions****D. An Introduction to Using a Graphing Utility****E. Solving Systems of Equations by Matrices****F. Solving Systems of Equations by Determinants**

### About our author

**Elayn Martin-Gay **has taught mathematics at the University of New Orleans for more than 25 years. Her numerous teaching awards include the local University Alumni Association’s Award for Excellence in Teaching, and Outstanding Developmental Educator at University of New Orleans, presented by the Louisiana Association of Developmental Educators.

Prior to writing textbooks, Elayn Martin-Gay developed an acclaimed series of lecture videos to support developmental mathematics students. These highly successful videos originally served as the foundation materials for her texts. Today, the videos are specific to each book in her series. She has also created **Chapter Test Prep Videos **to help students during their most “teachable moment” (as they prepare for a test) along with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, including basic mathematics, prealgebra, beginning algebra, and intermediate algebra.

Elayn is the author of 13 published textbooks and a new Interactive Assignment MyLab^{®} Math course, all specializing in developmental mathematics courses. She has also published series in Algebra 1, Algebra 2, and Geometry. She has participated as an author across the broadest range of educational materials: textbooks, videos, tutorial software, and courseware. This provides an opportunity of various combinations for an integrated teaching and learning package offering great consistency for the student.

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