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Interactive Algebra Foundations: Prealgebra, Introductory Algebra & Intermediate Algebra, 1st edition

Published by Pearson (July 5, 2018) © 2019

  • Elayn Martin-Gay University of New Orleans, Lakefront

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For courses or sequences covering Prealgebra, Beginning Algebra and Intermediate Algebra.

Every student can succeed

Elayn Martin-Gay's renowned student-centric approach is now available in Interactive Algebra Foundations, 1st Edition, a seamless digital learning and practice environment providing 3 courses' worth of content in 1 MyLab® Math course. Elayn's trusted voice and hallmark videos are delivered in Interactive Assignments as bite-sized, digestible instruction and are integrated with just-in-time, trackable assessment to optimize retention. It brings her video resources to the forefront, delivers instruction in a way that students can absorb, and ensures they have learned before starting homework. 

Hallmark features of this title

  • A 2-step learning path for each section begins with an Interactive Assignment followed by a homework assignment.
  • Interactive Assignments are small, navigable chunks of instruction with opportunities to engage and check understanding.   
    • Full written explanations are often replaced with media, including video clips. Animations ask students to manipulate concepts on-screen.
    • Your Turn exercises aid in retention and conceptual understanding. 
  • Math in the World: Chapter Opener Videos offer a quick, relatable preview about the material and how it connects to real-world encounters. 
  • Review and Practice Interactive Assignments provide Study Skills pointers, Chapter Vocabulary, and Getting Ready for the Test practice exercises with video solutions.  

Features of MyLab Math for the 1st Edition

  • An Interactive Organizer provides printed support to accompany the Interactive Assignment. The Organizer includes prompts that guide students through each Interactive Assignment, and provides students with space to take notes and try problems as they go. The Interactive Organizer is available to download and print from the course, or can be packaged with a MyLab code.
  • Students have the option to receive a more robust Print Reference of the Algebra Foundations 2nd Edition text. This unbound, full-color text contains complete written exposition for all objectives in the course, beyond the streamlined instruction available in the Interactive Assignments. 
    • Both the Interactive Organizer and Print Reference are available as 3 easy-to-manage volumes, so that students can take just the content they need with them. 
  • The Martin-Gay emphasis on study skills and positive mindset is reinforced throughout the course with Student Success Tip videos from Elayn, and notes of encouragement as students complete each section's Interactive Assignment.
    • A Mindset module is also available, which includes videos and corresponding exercises that encourage students to maintain a positive attitude about learning, value their own ability to grow, and view mistakes as a learning opportunity. 

1: The Whole Numbers

  • 1.1: Introduction to the Interactive Assignment
  • 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 Number and Area
  • 1.6: Dividing Whole Numbers
  • 1.7: Exponents and Order of Operations
  • 1.8: Introduction to Variables, Algebraic Expressions, and Equations
  • Chapter 1 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

2: 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
  • 2.5: Order of Operations
  • 2.6: Solving Equations: The Addition and Multiplication Properties
  • Chapter 2 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

3: Solving Equations and Problem Solving

  • 3.1: Simplifying Algebraic Expressions
  • 3.2: Solving Equations: Review of the Addition and Multiplication Properties
  • 3.3: Solving Linear Equations in One Variable
  • 3.4: Linear Equations in One Variable and Problem Solving
  • Chapter 3 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

4: Fractions and Mixed Numbers

  • 4.1: Introductions 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
  • 4.6: Complex Fractions and Review of Order of Operations
  • 4.7: Operations and Mixed Numbers
  • 4.8: Solving Equations Containing Fractions
  • Chapter 4 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

5: 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
  • 5.5: Fractions, Decimals, and Order of Operations
  • 5.6: Solving Equations Containing Decimals
  • 5.7: Decimal Applications: Mean, Median, and Mode
  • Chapter 5 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

6: 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
  • 6.5: Applications of Percent
  • 6.6: Percent and Problem Solving: Sales Tax, Commission, and Discount
  • 6.7: Percent and Problem Solving: Interest
  • Chapter 6 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

7: 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
  • 7.3: Square Roots and the Pythagorean Theorem
  • 7.4: Congruent and Similar Triangles
  • 7.5: Counting and Introduction to Probability
  • Chapter 7 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

8: Geometry and Measurement

  • 8.1: Lines and Angles
  • 8.2: Perimeter
  • 8.3: Area, Volume, and Surface Area
  • 8.4: Linear Measurement
  • 8.5: Weight and Mass
  • 8.6: Capacity
  • 8.7: Temperature and Conversions Between the U.S. and Metric System
  • Chapter 8 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

9: Equations, Inequalities, and Problem Solving

  • 9.1: Symbols and Sets of Numbers
  • 9.2: Properties of Real Numbers
  • 9.3: Further Solving Linear Equations
  • 9.4: Further Problem Solving
  • 9.5: Formulas and Problem Solving
  • 9.6: Linear Inequalities and Problem Solving
  • Chapter 9 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

10: Graphing

  • 10.1 The Rectangular Coordinate System
  • 10.2 Graphing Linear Equations
  • 10.3 Intercepts
  • 10.4 Slope and Rate of Change
  • 10.5 Equations of Lines
  • 10.6 Functions
  • Chapter 10 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

11: 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
  • 11.4: Solving Systems of Linear Equations by Three Variables
  • 11.5: Systems of Linear Equations and Problem Solving
  • Chapter 11 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

12: Exponents and Polynomials

  • 12.1: Exponents
  • 12.2: Polynomial Functions and Adding and Subtracting Polynomials
  • 12.3: Multiplying Polynomials
  • 12.4: Special Products
  • 12.5: Negative Exponents and Scientific Notation
  • 12.6: Dividing Polynomials
  • 12.7: Synthetic Division and the Remainder Theorem
  • Chapter 12 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

13: Factoring Polynomials

  • 13.1: The Greatest Common Factor and Factoring by Grouping
  • 13.2: Factoring Trinomials of the Form x² + bx + c
  • 13.3: Factoring Trinomials of the Form x² + bx + c and Perfect Square Trinomials
  • 13.4: Factoring Trinomials of the Form x² + bx + c by Grouping
  • 13.5: Factoring Binomials
  • 13.6: Solving Quadratic Equations by Factoring
  • 13.7: Quadratic Equations and Problem Solving
  • Chapter 13 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

14: 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
  • 14.6: Problem Solving with Proportions and Rational Equations
  • 14.7: Simplifying Complex Fractions
  • Chapter 14 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

15: More on Functions and Graphs

  • 15.1: Graphing and Writing Linear Functions
  • 15.2: Reviewing Function Notation and Graphing Nonlinear Functions
  • 15.3: Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions
  • 15.4: Variation and Problem Solving
  • Chapter 15 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

16: Inequalities and Absolute Value

  • 16.1: Compound Inequalities
  • 16.2: Absolute Value Equations
  • 16.3: Absolute Value Inequalities
  • 16.4: Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities
  • Chapter 16 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

17: 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
  • 17.6 Radical Equations and Problem Solving
  • 17.7 Complex Numbers
  • Chapter 17 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

18: 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
  • 18.4 Nonlinear Inequalities in One Variable
  • 18.5 Quadratic Functions and Their Graphs
  • 18.6 Further Graphing of Quadratic Functions
  • Chapter 18 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

19: 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
  • 19.7 Common Logarithms, Natural Logarithms, and Change of Base
  • 19.8 Exponential and Logarithmic Equations and Problem Solving
  • Chapter 19 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

20: Conic Sections

  • 20.1 The Parabola and the Circle
  • 20.2 The Ellipse and the Hyperbola
  • 20.3 Solving Nonlinear Systems of Equations
  • 20.4 Nonlinear Inequalities and Systems of Inequalities
  • Chapter 20 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

21: Sequence, Series, and the Binomial Theorem

  • 21.1 Sequences
  • 21.2 Arithmetic and Geometric Sequences
  • 21.3 Series
  • 21.4 Partial Sums of Arithmetic and Geometric Sequences
  • 21.5 The Binomial Theorem
  • Chapter 21 Review and Practice
  • Study Skills / Chapter Vocabulary / Getting Ready / Chapter Test Practice / Quiz

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
Student Resources
Study Skills Builders
Bigger Picture: Study Guide Online
Practice Final Exam

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 a broad range of educational materials: textbooks, videos, tutorial software, and courseware. This provides an opportunity for various combinations for an integrated teaching and learning package offering great consistency for the student.

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