Beginning & Intermediate Algebra

✍ Scribed by Elayn Martin-Gay

• Year: 2023
• Tongue: English
• Leaves: 1046
• Edition: 7
• Category: Library

✦ Synopsis

Thanks to FelixFrog on github for his PDFgrabber!

✦ Table of Contents

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