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Full Description
This revision retains the hallmark characteristics that have made Beginning & Intermediate Algebra so easy to learn from, while adding updates to the text and MyLab to keep it more relevant, and more supportive, than ever. The building block organization of the text builds essential skills by breaking mathematics into manageable pieces. The authors act as a student's "math coach," there to support them at every turn with exercises, videos, and examples specifically built to help with the trickiest problems. Finally, an emphasis on the use of math in careers and financial literacy throughout helps to answer the perennial question from students: "when will I ever use this?"
This revision includes all-important updates to applications and examples and more support for students. Beginning & Intermediate Algebra provides a comprehensive program that can work for any course format, from traditional lecture-based courses to fully online and distance learning.
Contents
Preface Diagnostic Pretest 0. Prealgebra Review
Career Opportunities
0.1 Simplifying Fractions
0.2 Adding and Subtracting Fractions
0.3 Multiplying and Dividing Fractions
0.4 Using Decimals Use Math to Save Money
0.5 Percents, Rounding, and Estimating
0.6 Using the Mathematics Blueprint for Problem Solving Career Exploration Problems
Chapter 0 Organizer
Chapter 0 Review Problems
How Am I Doing? Chapter 0 Test
Math Coach
1. Real Numbers and Variables
Career Opportunities
1.1 Adding Real Numbers
1.2 Subtracting Real Numbers
1.3 Multiplying and Dividing Real Numbers
1.4 Exponents
1.5 The Order of Operations Use Math to Save Money
1.6 Using the Distributive Property to Simplify Algebraic Expressions
1.7 Combining Like Terms
1.8 Using Substitution to Evaluate Algebraic Expressions and Formulas
1.9 Grouping Symbols Career Exploration Problems
Chapter 1 Organizer
Chapter 1 Review Problems
How Am I Doing? Chapter 1 Test
Math Coach
2. Equations, Inequalities, and Applications
Career Opportunities
2.1 The Addition Principle of Equality
2.2 The Multiplication Principle of Equality
2.3 Using the Addition and Multiplication Principles Together
2.4 Solving Equations with Fractions Use Math to Save Money
2.5 Translating English Phrases into Algebraic Expressions
2.6 Using Equations to Solve Word Problems
2.7 Solving Word Problems: The Value of Money and Percents
2.8 Solving Inequalities in One Variable Career Exploration Problems
Chapter 2 Organizer
Chapter 2 Review Problems
How Am I Doing? Chapter 2 Test
Math Coach
3. Graphing and Functions
Career Opportunities
3.1 The Rectangular Coordinate System
3.2 Graphing Linear Equations
3.3 The Slope of a Line Use Math to Save Money
3.4 Writing the Equation of a Line
3.5 Graphing Linear Inequalities
3.6 Functions Career Exploration Problems
Chapter 3 Organizer
Chapter 3 Review Problems
How Am I Doing? Chapter 3 Test
Math Coach
Cumulative Test for Chapters 0-3
4. Systems of Linear Equations and Inequalities
Career Opportunities
4.1 Systems of Linear Equations in Two Variables
4.2 Systems of Linear Equations in Three Variables Use Math to Save Money
4.3 Applications of Systems of Linear Equations
4.4 Systems of Linear Inequalities Career Exploration Problems
Chapter 4 Organizer
Chapter 4 Review Problems
How Am I Doing? Chapter 4 Test
Math Coach
5. Exponents and Polynomials
Career Opportunities
5.1 The Rules of Exponents
5.2 Negative Exponents and Scientific Notation
5.3 Fundamental Polynomial Operations Use Math to Save Money
5.4 Multiplying Polynomials
5.5 Multiplication: Special Cases
5.6 Dividing Polynomials Career Exploration Problems
Chapter 5 Organizer
Chapter 5 Review Problems
How Am I Doing? Chapter 5 Test
Math Coach
6. Factoring
Career Opportunities
6.1 Removing a Common Factor
6.2 Factoring by Grouping
6.3 Factoring Trinomials of the Form x2 + bx + c
6.4 Factoring Trinomials of the Form ax2 + bx + c Use Math to Save Money
6.5 Special Cases of Factoring
6.6 A Brief Review of Factoring
6.7 Solving Quadratic Equations by Factoring Career Exploration Problems
Chapter 6 Organizer
Chapter 6 Review Problems
How Am I Doing? Chapter 6 Test
Math Coach
Cumulative Test for Chapters 0-6
7. Rational Expressions and Equations
Career Opportunities
7.1 Simplifying Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions Use Math to Save Money
7.4 Simplifying Complex Rational Expressions
7.5 Solving Equations Involving Rational Expressions
7.6 Ratio, Proportion, and Other Applied Problems Career Exploration Problems
Chapter 7 Organizer
Chapter 7 Review Problems
How Am I Doing? Chapter 7 Test
Math Coach
T. A Transition from Beginning to Intermediate Algebra
T.1 Integer Exponents, Square Roots, Order of Operations, and Scientific Notation
T.2 Polynomial Operations
T.3 Factoring Polynomials
T.4 Special Cases of Factoring
T.5 The Point-Slope Form of a Line
8. Rational Exponents and Radicals
Career Opportunities
8.1 Rational Exponents
8.2 Radical Expressions and Functions
8.3 Simplifying, Adding, and Subtracting Radicals
8.4 Multiplying and Dividing Radicals Use Math to Save Money
8.5 Radical Equations
8.6 Complex Numbers
8.7 Variation Career Exploration Problems
Chapter 8 Organizer
Chapter 8 Review Problems
How Am I Doing? Chapter 8 Test
Math Coach
9. Quadratic Equations and Inequalities
Career Opportunities
9.1 Quadratic Equations
9.2 The Quadratic Formula and Solutions to Quadratic Equations
9.3 Equations That Can Be Transformed into Quadratic Form Use Math to Save Money
9.4 Formulas and Applications
9.5 Quadratic Functions
9.6 Compound and Quadratic Inequalities
9.7 Absolute Value Equations and Inequalities Career Exploration Problems
Chapter 9 Organizer
Chapter 9 Review Problems
How Am I Doing? Chapter 9 Test
Math Coach
Cumulative Test for Chapters 0-9
10. The Conic Sections
Career Opportunities
10.1 The Distance Formula and the Circle
10.2 The Parabola
10.3 The Ellipse Use Math to Save Money
10.4 The Hyperbola
10.5 Nonlinear Systems of Equations Career Exploration Problems
Chapter 10 Organizer
Chapter 10 Review Problems
How Am I Doing? Chapter 10 Test
Math Coach
11. Additional Properties of Functions
Career Opportunities
11.1 Function Notation
11.2 General Graphing Procedures for Functions Use Math to Save Money
11.3 Algebraic Operations on Functions
11.4 Inverse of a Function Career Exploration Problems
Chapter 11 Organizer
Chapter 11 Review Problems
How Am I Doing? Chapter 11 Test
Math Coach
12. Logarithmic and Exponential Functions
Career Opportunities
12.1 The Exponential Function
12.2 The Logarithmic Function
12.3 Properties of Logarithms Use Math to Save Money
12.4 Common Logarithms, Natural Logarithms, and Change of Base of Logarithms
12.5 Exponential and Logarithmic Equations Career Exploration Problems
Chapter 12 Organizer
Chapter 12 Review Problems
How Am I Doing? Chapter 12 Test
Math Coach
Practice Final Examination
Appendices
A: Practice with Operations of Whole Numbers
B: Determinants and Cramer's Rule
C: Solving Systems of Linear Equations Using Matrices
D: Sets
Solutions to Student Practice Problems Answers to Selected Exercises Beginning and Intermediate Algebra Glossary Photo Credits Subject Index Index of Applications
