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

Published by Pearson (May 4, 2018) © 2019

  • Elayn Martin-Gay
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  • Interactive digital learning experience
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  • Instant feedback on assignments
  • Apps and study tools
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Renowned author-educator Elayn Martin-Gay believes that every student can succeed. Her student-centric approach and acclaimed video program have helped countless students achieve success in their developmental math courses. Optimal student support is achieved through her effective videos, accessible writing style and study skills resources built into the program. This support 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. Her 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. Interactive Algebra Foundations brings Elayn's video resources to the forefront, delivers instruction in a way that students can absorb, and ensures they have learned before starting homework. 

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
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