Algebra Foundations: Prealgebra, Introductory Algebra & Intermediate Algebra, 2nd edition
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Overview
Algebra Foundations offers trusted content by esteemed author Elayn MartinGay. Chapter Test Prep videos and a Video Organizer notetaking guide help support your success.
Published by Pearson (July 15th 2020)  Copyright © 2020
ISBN13: 9780136881179
Subject: Developmental Math
Category: Basic Math/Prealgebra, Beginning Algebra & Intermediate Algebra Combined
Table of contents
Table of Contents
 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 PiecewiseDefined 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
 Appendix 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
 Appendix 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
 Appendix C. Stretching and Compressing Graphs of Absolute Value Functions
 Appendix D. An Introduction to Using a Graphing Utility
 Appendix E. Solving Systems of Equations by Matrices
 Appendix F. Solving Systems of Equations by Determinants
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