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

Published by Pearson (July 15, 2020) © 2020

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

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Elayn Martin-Gay is known for her accessible writing style with built-in support, including an emphasis on study skills. Part of her acclaimed worktext series, **Algebra Foundations, 2nd Edition** is a comprehensive “all in one” program that offers everything needed for a combined course in Prealgebra, Introductory Algebra and Intermediate Algebra in one easy-to-use solution. This content is designed to work for any course format and can even be used in a corequisite course. Features in the text and other learning resources help you reinforce concepts and tie skills together. End-of-chapter support helps you when preparing for a test. The **2nd Edition** updates exercise sets and applications throughout, adds new Getting Ready for the Test exercises, and offers a new Key Concept and Activity Lab Workbook.

**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**

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