Introductory Algebra

Introductory Algebra, 6th edition

  • Elayn Martin-Gay

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Overview

Introductory Algebra offers trusted content by esteemed author Elayn Martin-Gay. Chapter Test Prep videos and a Video Organizer note-taking guide help support your success.

Published by Pearson (July 15th 2020) - Copyright © 2020

ISBN-13: 9780136881261

Subject: Developmental Math

Category: Beginning Algebra

Table of contents

Chapter R. Prealgebra Review

R.1 Factors and the Least Common Multiple
R.2 Fractions
R.3 Decimals and Percents
R.4 Reading Pictographs and Bar, Line, and Circle Graphs

Chapter 1. Real Numbers and Introduction to Algebra

1.1 Tips for Success in Mathematics
1.2 Symbols and Sets of Numbers
1.3 Exponents, Order of Operations, and Variable Expressions
1.4 Adding Real Numbers
1.5 Subtracting Real Numbers
Integrated Review – Operations on Real Numbers
1.6 Multiplying and Dividing Real Numbers 
1.7 Properties of Real Numbers
1.8 Simplifying Expressions

 
Chapter 2. Equations, Inequalities, and Problem Solving

2.1 The Addition Property of Equality
2.2 The Multiplication Property of Equality
2.3 Further Solving Linear Equations 
Integrated Review -- Solving Linear Equations
2.4 An Introduction to Problem Solving
2.5 Formulas and Problem Solving
2.6 Percent and Mixture Problem Solving
2.7 Solving Linear Inequalities and Problem Solving 

Chapter 3. Exponents and Polynomials

3.1 Exponents 
3.2 Negative Exponents and Scientific Notation 
3.3 Introduction to Polynomials 
3.4 Adding and Subtracting Polynomials 
3.5 Multiplying Polynomials 
3.6 Special Products 
Integrated Review – Exponents and Operations on Polynomials
3.7 Dividing Polynomials 

Chapter 4. Factoring Polynomials 

4.1 The Greatest Common Factor and Factoring by Grouping 
4.2 Factoring Trinomials of the Form x^2 bx + c 
4.3 Factoring Trinomials of the Form ax^2 + bx + c 
4.4 Factoring Trinomials of the Form ax^2 + bx + c by Grouping
4.5 Factoring Perfect Square Trinomials and the Difference of Two Squares
Integrated Review – Choosing a Factoring Strategy
4.6 Solving Quadratic Equations by Factoring 
4.7 Quadratic Equations and Problem Solving 

Chapter 5. Rational Expressions

5.1 Simplifying Rational Expressions 
5.2 Multiplying and Dividing Rational Expressions 
5.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator 
5.4 Adding and Subtracting Rational Expressions with Different Denominators
5.5 Solving Equations Containing Rational Expressions 
Integrated Review – Summary on Rational Expressions 
5.6 Proportions and Problem Solving with Rational Equations
5.7 Simplifying Complex Fractions 

Chapter 6. Graphing Equations and Inequalities 

6.1 The Rectangular Coordinate System
6.2 Graphing Linear Equations 
6.3 Intercepts 
6.4 Slope and Rate of Change 
6.5 Equations of Lines 
Integrated Review – Summary on Linear Equations
6.6 Introduction to Functions 
6.7. Graphing Linear Inequalities in two Variables 

Chapter 7. Systems of Equations 

7.1 Solving systems of Linear Equations by Graphing
7.2 Solving Systems of Linear Equations by Substitution 
7.3 Solving Systems of Linear Equations by Addition 
Integrated Review – Systems of Linear Equations
7.4 Systems of Linear Equations and Problem Solving

Chapter 8. Roots and Radicals 

8.1 Introduction to Radicals
8.2 Simplifying Radicals
8.3 Adding and Subtracting Radicals
8.4 Multiplying and Dividing Radicals
Integrated Review – Simplifying Radicals 
8.5 Solving Equations Containing Radicals
8.6 Radical Equations and Problem Solving
8.7 Direct and Inverse Variation Including Radical Applications

Chapter 9. Quadratic Equations 

9.1 Solving Quadratic Equations by the Square Root Property
9.2 Solving Quadratic Equations by Completing the Square 
9.3 Solving Quadratic Equations by the Quadratic Formula 
Integrated Review – Summary of Solving Quadratic Equations 
9.4 Graphing Quadratic Equations in Two Variables

Appendices:

Appendix A. Tables
Appendix B. Factoring Sums and Differences of Cubes
Appendix C. Mean, Median, Mode, Range, and Intro to Statistics
Appendix D. Sets
Appendix E. Review of Angles, Lines, and Special Triangles
Appendix F. Interval Notation and Finding Domains and Ranges from Graphs

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