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Beginning & Intermediate Algebra

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For courses in beginning and intermediate algebra.

 

Every student can succeed.

Elayn Martin-Gay's developmental math textbooks and video resources are motivated by her firm belief that every student can succeed. Martin-Gay's focus on the student shapes her clear, accessible writing, inspires her constant pedagogical innovations, and contributes to the popularity and effectiveness of her video resources. This revision of Martin-Gay's algebra series continues her focus on students and what they need to be successful.

 

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Author(s): Elayn Martin-Gay
Edition: 6
Publisher: Pearson
Year: 2016

Language: English

Cover
Title Page
Copyright Page
Contents
Preface
Applications Index
Chapter 1 Review of Real Numbers
1.1 Study Skill Tips for Success in Mathematics
1.2 Symbols and Sets of Numbers
1.3 Fractions and Mixed Numbers
1.4 Exponents, Order of Operations, Variable Expressions, and Equations
1.5 Adding Real Numbers
1.6 Subtracting Real Numbers
Integrated Review—Operations on Real Numbers
1.7 Multiplying and Dividing Real Numbers
1.8 Properties of Real Numbers
Chapter 1 Vocabulary Check
Chapter 1 Highlights
Chapter 1 Review
Chapter 1 Getting Ready for the Test
Chapter 1 Test
Chapter 2 Equations, Inequalities, and Problem Solving
2.1 Simplifying Algebraic Expressions
2.2 The Addition and Multiplication Properties of Equality
2.3 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 Further Problem Solving
2.8 Solving Linear Inequalities
Chapter 2 Vocabulary Check
Chapter 2 Highlights
Chapter 2 Review
Chapter 2 Getting Ready for the Test
Chapter 2 Test
Chapter 2 Cumulative Review
Chapter 3 Graphing
3.1 Reading Graphs and the Rectangular Coordinate System
3.2 Graphing Linear Equations
3.3 Intercepts
3.4 Slope and Rate of Change
Integrated Review—Summary on Slope and Graphing Linear Equations
3.5 Equations of Lines
3.6 Functions
Chapter 3 Vocabulary Check
Chapter 3 Highlights
Chapter 3 Review
Chapter 3 Getting Ready for the Test
Chapter 3 Test
Chapter 3 Cumulative Review
Chapter 4 Solving Systems of Linear Equations
4.1 Solving Systems of Linear Equations by Graphing
4.2 Solving Systems of Linear Equations by Substitution
4.3 Solving Systems of Linear Equations by Addition
Integrated Review—Solving Systems of Equations
4.4 Solving Systems of Linear Equations in Three Variables
4.5 Systems of Linear Equations and Problem Solving
Chapter 4 Vocabulary Check
Chapter 4 Highlights
Chapter 4 Review
Chapter 4 Getting Ready for the Test
Chapter 4 Test
Chapter 4 Cumulative Review
Chapter 5 Exponents and Polynomials
5.1 Exponents
5.2 Polynomial Functions and Adding and Subtracting Polynomials
5.3 Multiplying Polynomials
5.4 Special Products
Integrated Review—Exponents and Operations on Polynomials
5.5 Negative Exponents and Scientific Notation
5.6 Dividing Polynomials
5.7 Synthetic Division and the Remainder Theorem
Chapter 5 Vocabulary Check
Chapter 5 Highlights
Chapter 5 Review
Chapter 5 Getting Ready for the Test
Chapter 5 Test
Chapter 5 Cumulative Review
Chapter 6 Factoring Polynomials
6.1 The Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials of the Form x2 + bx + c
6.3 Factoring Trinomials of the Form ax2 + bx + c and Perfect Square Trinomials
6.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping
6.5 Factoring Binomials
Integrated Review—Choosing a Factoring Strategy
6.6 Solving Quadratic Equations by Factoring
6.7 Quadratic Equations and Problem Solving
Chapter 6 Vocabulary Check
Chapter 6 Highlights
Chapter 6 Review
Chapter 6 Getting Ready for the Test
Chapter 6 Test
Chapter 6 Cumulative Review
Chapter 7 Rational Expressions
7.1 Rational Functions and Simplifying Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator
7.4 Adding and Subtracting Rational Expressions with Unlike Denominators
7.5 Solving Equations Containing Rational Expressions
Integrated Review—Summary on Rational Expressions
7.6 Proportion and Problem Solving with Rational Equations
7.7 Simplifying Complex Fractions
Chapter 7 Vocabulary Check
Chapter 7 Highlights
Chapter 7 Review
Chapter 7 Getting Ready for the Test
Chapter 7 Test
Chapter 7 Cumulative Review
Chapter 8 More on Functions and Graphs
8.1 Graphing and Writing Linear Functions
8.2 Reviewing Function Notation and Graphing Nonlinear Functions
Integrated Review—Summary on Functions and Equations of Lines
8.3 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions
8.4 Variation and Problem Solving
Chapter 8 Vocabulary Check
Chapter 8 Highlights
Chapter 8 Review
Chapter 8 Getting Ready for the Test
Chapter 8 Test
Chapter 8 Cumulative Review
Chapter 9 Inequalities and Absolute Value
9.1 Compound Inequalities
9.2 Absolute Value Equations
9.3 Absolute Value Inequalities
Integrated Review—Solving Compound Inequalities and Absolute Value Equations and Inequalities
9.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities
Chapter 9 Vocabulary Check
Chapter 9 Highlights
Chapter 9 Review
Chapter 9 Getting Ready for the Test
Chapter 9 Test
Chapter 9 Cumulative Review
Chapter 10 Rational Exponents, Radicals, and Complex Numbers
10.1 Radicals and Radical Functions
10.2 Rational Exponents
10.3 Simplifying Radical Expressions
10.4 Adding, Subtracting, and Multiplying Radical Expressions
10.5 Rationalizing Denominators and Numerators of Radical Expressions
Integrated Review—Radicals and Rational Exponents
10.6 Radical Equations and Problem Solving
10.7 Complex Numbers
Chapter 10 Vocabulary Check
Chapter 10 Highlights
Chapter 10 Review
Chapter 10 Getting Ready for the Test
Chapter 10 Test
Chapter 10 Cumulative Review
Chapter 11 Quadratic Equations and Functions
11.1 Solving Quadratic Equations by Completing the Square
11.2 Solving Quadratic Equations by the Quadratic Formula
11.3 Solving Equations by Using Quadratic Methods
Integrated Review—Summary on Solving Quadratic Equations
11.4 Nonlinear Inequalities in One Variable
11.5 Quadratic Functions and Their Graphs
11.6 Further Graphing of Quadratic Functions
Chapter 11 Vocabulary Check
Chapter 11 Highlights
Chapter 11 Review
Chapter 11 Getting Ready for the Test
Chapter 11 Test
Chapter 11 Cumulative Review
Chapter 12 Exponential and Logarithmic Functions
12.1 The Algebra of Functions; Composite Functions
12.2 Inverse Functions
12.3 Exponential Functions
12.4 Exponential Growth and Decay Functions
12.5 Logarithmic Functions
12.6 Properties of Logarithms
Integrated Review—Functions and Properties of Logarithms
12.7 Common Logarithms, Natural Logarithms, and Change of Base
12.8 Exponential and Logarithmic Equations and Problem Solving
Chapter 12 Vocabulary Check
Chapter 12 Highlights
Chapter 12 Review
Chapter 12 Getting Ready for the Test
Chapter 12 Test
Chapter 12 Cumulative Review
Chapter 13 Conic Sections
13.1 The Parabola and the Circle
13.2 The Ellipse and the Hyperbola
Integrated Review—Graphing Conic Sections
13.3 Solving Nonlinear Systems of Equations
13.4 Nonlinear Inequalities and Systems of Inequalities
Chapter 13 Vocabulary Check
Chapter 13 Highlights
Chapter 13 Review
Chapter 13 Getting Ready for the Test
Chapter 13 Test
Chapter 13 Cumulative Review
Chapter 14 Sequences, Series, and the Binomial Theorem
14.1 Sequences
14.2 Arithmetic and Geometric Sequences
14.3 Series
Integrated Review—Sequences and Series
14.4 Partial Sums of Arithmetic and Geometric Sequences
14.5 The Binomial Theorem
Chapter 14 Vocabulary Check
Chapter 14 Highlights
Chapter 14 Review
Chapter 14 Getting Ready for the Test
Chapter 14 Test
Chapter 14 Cumulative Review
Appendices
Appendix A Operations on Decimals/Table of Percent, Decimal, and Fraction Equivalents
Appendix B Review of Algebra Topics
Appendix C An Introduction to Using a Graphing Utility
Appendix D Solving Systems of Equations by Matrices
Appendix E Solving Systems of Equations Using Determinants
Appendix F Mean, Median, and Mode
Appendix G Review of Angles, Lines, and Special Triangles
Contents of Student Resources
Student Resources
Study Skills Builders
The Bigger Picture—Study Guide Outline
Practice Final Exam
Answers to Selected Exercises
Index
Photo Credits