Developmental Mathematics: Prealgebra, Beginning, Intermediate Algebra
Autor Jr. Tobey, John Jr, Jeffrey Slater, Jamie Blairen Limba Engleză Foi volante – mai 2014
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Specificații
Notă biografică
John Tobey received his BA in mathematics from Wheaton College in Wheaton, Illinois in 1965, his MA in mathematics education from Harvard University in 1966, and his PhD in mathematics education from Boston University in 1980. He has taught in the mathematics department at the United States Military Academy at West Point and served as the Mathematics Department Chairman at North Shore Community College in Danvers, Massachusetts for five years. John has served as the president of the New England Mathematics Association of Two Year Colleges. He has received the NISOD award for outstanding teaching from the University of Texas at Austin. John is the author of seven mathematics books published by Pearson Education. John has spoken to many mathematics departments and at many professional meetings throughout the country on the topic of developmental mathematics education and distance learning in mathematics. He lives in Massachusetts. Jeffrey Slater has been a professor at North Shore Community College for thirty-eight years and received the Teacher of the Year award in 2002. Jeff travels around the country speaking on student retention and is also a consultant to the Federal Government. He lives in Marblehead, Massachusetts with his wife Shelley and his yellow lab Gracie. Jamie Blair has directed the Mathematics Learning Center at Orange Coast College for the past seventeen years. She designed, developed, and implemented the Center, and as a result of this effort has provided technical expertise related to the particulars of the Math Center to numerous other two-year colleges and at many conferences. In 2007 Jamie was appointed to the Team of Basic Skills Specialist by the California State Academic Senate. She is also currently participating on Title 3 committees on her campus. She specializes in teaching students who have never been successful in mathematics. She is an expert in the area of basic skills in relation to the learning needs of students. She lives in California. Jennifer Crawford received her BS in mathematics from the University of Minnesota - Duluth in 1995 and her MS in mathematics from the University of Minnesota - Twin Cities in 1998. She taught a wide range of courses at North Shore Community College in Danvers, Massachusetts for five years. She currently teaches at Normandale Community College in Bloomington, Minnesota where her focus is working with developmental math students. She lives in Minneapolis, Minnesota with her husband, two young children, and black lab.
Cuprins
Module 1: Whole Numbers and Introduction to Algebra
1.1: Understanding Whole Numbers
1.2: Adding Whole Number Expressions
1.3: Subtracting Whole Number Expressions
1.4: Multiplying Whole Number Expressions
1.5: Dividing Whole Number Expressions
1.6: Exponents and the Order of Operations
Use Math to Save Money
How Am I Doing? Topics 1.1-1.6
1.7: More on Algebraic Expressions
1.8: Introduction to Solving Linear Equations
1.9: Solving Applied Problems Using Several Operations
Module 1 Organizer
Module 1 Review Problems
How Am I Doing? Module 1 Test
Math Coach
Module 2: Integers
2.1: Understanding Integers
2.2: Adding Integers
2.3: Subtracting Integers
Use Math to Save Money
How Am I Doing? Topics 2.1-2.3
2.4: Multiplying and Dividing Integers
2.5: The Order of Operations and Applications Involving Integers
2.6: Simplifying and Evaluating Algebraic Expressions
Module 2 Organizer
Module 2 Review Problems
How Am I Doing? Module 2 Test
Math Coach
Module 3: Introduction to Equations and Algebraic Expressions
3.1: Equations of the form x + a = c and x - a = c
3.2: Equations of the form ax = c
How Am I Doing? Topics 3.1-3.2
3.3: Equations and Geometric Formulas
Use Math to Save Money
3.4: Performing Operations with Exponents
Module 3 Organizer
Module 3 Review Problems
How Am I Doing? Module 3 Test
Math Coach
Module 4: Fractions, Ratio, and Proportions
4.1: Factoring Whole Numbers
4.2: Understanding Fractions
4.3: Simplifying Fractional Expressions
Use Math to Save Money
How Am I Doing? Topics 4.1-4.3
4.4: Simplifying Fractional Expressions with Exponents
4.5: Ratios and Rates
4.6: Proportions and Applications
Module 4 Organizer
Module 4 Review Problems
How Am I Doing? Module 4 Test
Math Coach
Module 5: Operations on Fractional Expressions
5.1: Multiplying and Dividing Fractional Expressions
5.2: Least Common Multiples of Algebraic Expressions
5.3: Adding and Subtracting Fractional Expressions
5.4: Operations with Mixed Numbers
Use Math to Save Money
How Am I Doing? Topics 5.1-5.4
5.5: Order of Operations and Complex Fractions
5.6: Solving Applied Problems Involving Fractions
5.7: The Multiplication Principle of Equality
Module 5 Organizer
Module 5 Review Problems
How Am I Doing? Module 5 Test
Math Coach
Module 6: Decimals and Percents
6.1: Understanding Decimal Fractions
6.2: Adding and Subtracting Decimal Expressions
6.3: Multiplying and Dividing Decimal Expressions
How Am I Doing? Topics 6.1-6.3
6.4: Estimating with Percents
6.5: Percents
6.6: Solving Percent Problems Using Equations
6.7: Solving Percent Problems Using Proportions
6.8: Solving Applied Problems Involving Percents
Use Math to Save Money
Module 6 Organizer
Module 6 Review Problems
How Am I Doing? Module 6 Test
Math Coach
Module 7: Measurement and Geometric Figures
7.1: Using Unit Fractions with U.S. and Metric Units
7.2: Converting Between the U.S. and Metric Systems
7.3: Angles
How Am I Doing? Topics 7.1-7.3
7.4: The Circle
7.5: Volume
7.6: Similar Geometric Figures
Use Math to Save Money
Module 7 Organizer
Module 7 Review Problems
How Am I Doing? Module 7 Test
Math Coach
Module 8: Introduction to Polynomials
8.1: Adding and Subtracting Polynomials
8.2: Multiplying Polynomials
How Am I Doing? Topics 8.1-8.2
8.3: Translate from English to Algebra
Use Math to Save Money
8.4: Factoring Using the Greatest Common Factor
Module 8 Organizer
Module 8 Review Problems
How Am I Doing? Module 8 Test
Math Coach
Module 9: Equations, Inequalities, and Applications
9.1: Addition and Multiplication Principles of Equality
9.2: Using Both Principles of Equality Together
9.3: Solving Equations with Fractions
How Am I Doing? Topics 9.1-9.3
9.4: Formulas
9.5: Using Equations to Solve Word Problems
9.6: Solving Word Problems Involving Money and Percents
9.7: Solving Inequalities in One Variable
Use Math to Save Money
Module 9 Organizer
Module 9 Review Problems
How Am I Doing? Module 9 Test
Math Coach
Module 10: Graphing and Functions
10.1: The Rectangular Coordinate System
10.2: Graphing Linear Equations
10.3: The Slope of a Line
How Am I Doing? Topics 10.1-10.3
10.4: Writing the Equation of a Line
10.5: Graphing Linear Inequalities
10.6: Functions
Use Math to Save Money
Module 10 Organizer
Module 10 Review Problems
How Am I Doing? Module 10 Test
Math Coach
Module 11: Systems of Linear Equations and Inequalities
11.1: Systems of Linear Equations in Two Variables
11.2: Systems of Linear Equations in Three Variables
How Am I Doing? Topics 11.1-11.2
11.3: Applications of Systems of Linear Equations
11.4: Systems of Linear Inequalities
Use Math to Save Money
Module 11 Organizer
Module 11 Review Problems
How Am I Doing? Module 11 Test
Math Coach
Module 12: Exponents and Polynomials
12.1: The Rules of Exponents
12.2: Negative Exponents and Scientific Notation
12.3: Fundamental Polynomial Operations
How Am I Doing? Topics 12.1-12.3
12.4: Multiplying Polynomials
12.5: Multiplication -Special Cases
12.6: Dividing Polynomials
Use Math to Save Money
Module 12 Organizer
Module 12 Review Problems
How Am I Doing? Module 12 Test
Math Coach
Module 13: Factoring
13.1: Removing a Common Factor
13.2: Factoring by Grouping
13.3: Factoring Trinomials When a = 1
13.4: Factoring Trinomials When a ≠ 1
How Am I Doing? Topics 13.1-13.4
13.5: Special Cases of Factoring
13.6: A Brief Review of Factoring
13.7: Solving Quadratic Equations by Factoring
Use Math to Save Money
Module 13 Organizer
Module 13 Review Problems
How Am I Doing? Module 13 Test
Math Coach
Module 14: Rational Expressions and Equations
14.1: Simplifying Rational Expressions
14.2: Multiplying and Dividing Rational Expressions
14.3: Adding and Subtracting Rational Expressions
How Am I Doing? Topics 14.1-14.3
14.4: Simplifying Complex Rational Expressions
14.5: Solving Equations Involving Rational Expressions
14.6: Ratio, Proportion, and Other Applied Problems
Use Math to Save Money
Module 14 Organizer
Module 14 Review Problems
How Am I Doing? Module 14 Test
Math Coach
Module 15: Rational Exponents and Radicals
15.1: Rational Exponents
15.2: Radical Expressions and Functions
15.3: Simplifying, Adding, and Subtracting Radicals
15.4: Multiplying and Dividing Radicals
How Am I Doing? Topics 15.1-15.3
15.5: Radical Equations
15.6: Complex Numbers
15.7: Variation
Use Math to Save Money
Module 15 Organizer
Module 15 Review Problems
How Am I Doing? Module 15 Test
Math Coach
Module 16: Quadratic Equations
16.1: Quadratic Equations
16.2: Solutions to Quadratic Equations-Quadratic Formula
16.3: Solving Equations That Are Quadratic in Form
How Am I Doing? Topics 16.1-16.3
16.4: Formulas and Applications
Use Math to Save Money
Module 16 Organizer
Module 16 Review Problems
How Am I Doing? Module 16 Test
Math Coach
Module 17: The Conic Sections
17.1: The Distance Formula and the Circle
17.2: The Parabola
17.3: The Ellipse
How Am I Doing? Topics 17.1-17.3
17.4: The Hyperbola
17.5: Nonlinear Systems of Equations
Use Math to Save Money
Module 17 Organizer
Module 17 Review Problems
How Am I Doing? Module 17 Test
Math Coach
Module 18: Additional Properties of Functions
18.1: Function Notation
18.2: General Graphing Procedures for Functions
How Am I Doing? Topics 18.1-18.2
18.3: Algebraic Operations on Functions
18.4: Inverse of a Function
Use Math to Save Money
Module 18 Organizer
Module 18 Review Problems
How Am I Doing? Module 18 Test
Math Coach
Module 19: Logarithmic and Exponential Functions
19.1: The Exponential Function
19.2: The Logarithmic Function
19.3: Properties of Logarithms
How Am I Doing? Topics 19.1-19.3
19.4: Common and Natural Logarithms; Change of Base
19.5: Exponential and Logarithmic Equations
Use Math to Save Money
Module 19 Organizer
Module 19 Review Problems
How Am I Doing? Module 19 Test
Math Coach
Module 20: Additional Topics
20.1: Quadratic Functions
20.2: Compound and Quadratic Inequalities
20.3: Absolute Value Equations and Inequalities
Use Math to Save Money
Module 20 Organizer
Module 20 Review Problems
How Am I Doing? Module 20 Test
Math Coach
Appendices
Appendix A: Consumer Finance Applications
Appendix B: Introduction to U.S. and Metric Units of Measurement
Appendix C: Additional Arithmetic Practice
Appendix D: Foundations for Intermediate Algebra: A Transition from Beginning to Intermediate Algebra
Appendix E: Determinants and Cramer's Rule
Appendix F: Solving Systems of Linear Equations Using Matrices
Appendix G: Sets
1.1: Understanding Whole Numbers
1.2: Adding Whole Number Expressions
1.3: Subtracting Whole Number Expressions
1.4: Multiplying Whole Number Expressions
1.5: Dividing Whole Number Expressions
1.6: Exponents and the Order of Operations
Use Math to Save Money
How Am I Doing? Topics 1.1-1.6
1.7: More on Algebraic Expressions
1.8: Introduction to Solving Linear Equations
1.9: Solving Applied Problems Using Several Operations
Module 1 Organizer
Module 1 Review Problems
How Am I Doing? Module 1 Test
Math Coach
Module 2: Integers
2.1: Understanding Integers
2.2: Adding Integers
2.3: Subtracting Integers
Use Math to Save Money
How Am I Doing? Topics 2.1-2.3
2.4: Multiplying and Dividing Integers
2.5: The Order of Operations and Applications Involving Integers
2.6: Simplifying and Evaluating Algebraic Expressions
Module 2 Organizer
Module 2 Review Problems
How Am I Doing? Module 2 Test
Math Coach
Module 3: Introduction to Equations and Algebraic Expressions
3.1: Equations of the form x + a = c and x - a = c
3.2: Equations of the form ax = c
How Am I Doing? Topics 3.1-3.2
3.3: Equations and Geometric Formulas
Use Math to Save Money
3.4: Performing Operations with Exponents
Module 3 Organizer
Module 3 Review Problems
How Am I Doing? Module 3 Test
Math Coach
Module 4: Fractions, Ratio, and Proportions
4.1: Factoring Whole Numbers
4.2: Understanding Fractions
4.3: Simplifying Fractional Expressions
Use Math to Save Money
How Am I Doing? Topics 4.1-4.3
4.4: Simplifying Fractional Expressions with Exponents
4.5: Ratios and Rates
4.6: Proportions and Applications
Module 4 Organizer
Module 4 Review Problems
How Am I Doing? Module 4 Test
Math Coach
Module 5: Operations on Fractional Expressions
5.1: Multiplying and Dividing Fractional Expressions
5.2: Least Common Multiples of Algebraic Expressions
5.3: Adding and Subtracting Fractional Expressions
5.4: Operations with Mixed Numbers
Use Math to Save Money
How Am I Doing? Topics 5.1-5.4
5.5: Order of Operations and Complex Fractions
5.6: Solving Applied Problems Involving Fractions
5.7: The Multiplication Principle of Equality
Module 5 Organizer
Module 5 Review Problems
How Am I Doing? Module 5 Test
Math Coach
Module 6: Decimals and Percents
6.1: Understanding Decimal Fractions
6.2: Adding and Subtracting Decimal Expressions
6.3: Multiplying and Dividing Decimal Expressions
How Am I Doing? Topics 6.1-6.3
6.4: Estimating with Percents
6.5: Percents
6.6: Solving Percent Problems Using Equations
6.7: Solving Percent Problems Using Proportions
6.8: Solving Applied Problems Involving Percents
Use Math to Save Money
Module 6 Organizer
Module 6 Review Problems
How Am I Doing? Module 6 Test
Math Coach
Module 7: Measurement and Geometric Figures
7.1: Using Unit Fractions with U.S. and Metric Units
7.2: Converting Between the U.S. and Metric Systems
7.3: Angles
How Am I Doing? Topics 7.1-7.3
7.4: The Circle
7.5: Volume
7.6: Similar Geometric Figures
Use Math to Save Money
Module 7 Organizer
Module 7 Review Problems
How Am I Doing? Module 7 Test
Math Coach
Module 8: Introduction to Polynomials
8.1: Adding and Subtracting Polynomials
8.2: Multiplying Polynomials
How Am I Doing? Topics 8.1-8.2
8.3: Translate from English to Algebra
Use Math to Save Money
8.4: Factoring Using the Greatest Common Factor
Module 8 Organizer
Module 8 Review Problems
How Am I Doing? Module 8 Test
Math Coach
Module 9: Equations, Inequalities, and Applications
9.1: Addition and Multiplication Principles of Equality
9.2: Using Both Principles of Equality Together
9.3: Solving Equations with Fractions
How Am I Doing? Topics 9.1-9.3
9.4: Formulas
9.5: Using Equations to Solve Word Problems
9.6: Solving Word Problems Involving Money and Percents
9.7: Solving Inequalities in One Variable
Use Math to Save Money
Module 9 Organizer
Module 9 Review Problems
How Am I Doing? Module 9 Test
Math Coach
Module 10: Graphing and Functions
10.1: The Rectangular Coordinate System
10.2: Graphing Linear Equations
10.3: The Slope of a Line
How Am I Doing? Topics 10.1-10.3
10.4: Writing the Equation of a Line
10.5: Graphing Linear Inequalities
10.6: Functions
Use Math to Save Money
Module 10 Organizer
Module 10 Review Problems
How Am I Doing? Module 10 Test
Math Coach
Module 11: Systems of Linear Equations and Inequalities
11.1: Systems of Linear Equations in Two Variables
11.2: Systems of Linear Equations in Three Variables
How Am I Doing? Topics 11.1-11.2
11.3: Applications of Systems of Linear Equations
11.4: Systems of Linear Inequalities
Use Math to Save Money
Module 11 Organizer
Module 11 Review Problems
How Am I Doing? Module 11 Test
Math Coach
Module 12: Exponents and Polynomials
12.1: The Rules of Exponents
12.2: Negative Exponents and Scientific Notation
12.3: Fundamental Polynomial Operations
How Am I Doing? Topics 12.1-12.3
12.4: Multiplying Polynomials
12.5: Multiplication -Special Cases
12.6: Dividing Polynomials
Use Math to Save Money
Module 12 Organizer
Module 12 Review Problems
How Am I Doing? Module 12 Test
Math Coach
Module 13: Factoring
13.1: Removing a Common Factor
13.2: Factoring by Grouping
13.3: Factoring Trinomials When a = 1
13.4: Factoring Trinomials When a ≠ 1
How Am I Doing? Topics 13.1-13.4
13.5: Special Cases of Factoring
13.6: A Brief Review of Factoring
13.7: Solving Quadratic Equations by Factoring
Use Math to Save Money
Module 13 Organizer
Module 13 Review Problems
How Am I Doing? Module 13 Test
Math Coach
Module 14: Rational Expressions and Equations
14.1: Simplifying Rational Expressions
14.2: Multiplying and Dividing Rational Expressions
14.3: Adding and Subtracting Rational Expressions
How Am I Doing? Topics 14.1-14.3
14.4: Simplifying Complex Rational Expressions
14.5: Solving Equations Involving Rational Expressions
14.6: Ratio, Proportion, and Other Applied Problems
Use Math to Save Money
Module 14 Organizer
Module 14 Review Problems
How Am I Doing? Module 14 Test
Math Coach
Module 15: Rational Exponents and Radicals
15.1: Rational Exponents
15.2: Radical Expressions and Functions
15.3: Simplifying, Adding, and Subtracting Radicals
15.4: Multiplying and Dividing Radicals
How Am I Doing? Topics 15.1-15.3
15.5: Radical Equations
15.6: Complex Numbers
15.7: Variation
Use Math to Save Money
Module 15 Organizer
Module 15 Review Problems
How Am I Doing? Module 15 Test
Math Coach
Module 16: Quadratic Equations
16.1: Quadratic Equations
16.2: Solutions to Quadratic Equations-Quadratic Formula
16.3: Solving Equations That Are Quadratic in Form
How Am I Doing? Topics 16.1-16.3
16.4: Formulas and Applications
Use Math to Save Money
Module 16 Organizer
Module 16 Review Problems
How Am I Doing? Module 16 Test
Math Coach
Module 17: The Conic Sections
17.1: The Distance Formula and the Circle
17.2: The Parabola
17.3: The Ellipse
How Am I Doing? Topics 17.1-17.3
17.4: The Hyperbola
17.5: Nonlinear Systems of Equations
Use Math to Save Money
Module 17 Organizer
Module 17 Review Problems
How Am I Doing? Module 17 Test
Math Coach
Module 18: Additional Properties of Functions
18.1: Function Notation
18.2: General Graphing Procedures for Functions
How Am I Doing? Topics 18.1-18.2
18.3: Algebraic Operations on Functions
18.4: Inverse of a Function
Use Math to Save Money
Module 18 Organizer
Module 18 Review Problems
How Am I Doing? Module 18 Test
Math Coach
Module 19: Logarithmic and Exponential Functions
19.1: The Exponential Function
19.2: The Logarithmic Function
19.3: Properties of Logarithms
How Am I Doing? Topics 19.1-19.3
19.4: Common and Natural Logarithms; Change of Base
19.5: Exponential and Logarithmic Equations
Use Math to Save Money
Module 19 Organizer
Module 19 Review Problems
How Am I Doing? Module 19 Test
Math Coach
Module 20: Additional Topics
20.1: Quadratic Functions
20.2: Compound and Quadratic Inequalities
20.3: Absolute Value Equations and Inequalities
Use Math to Save Money
Module 20 Organizer
Module 20 Review Problems
How Am I Doing? Module 20 Test
Math Coach
Appendices
Appendix A: Consumer Finance Applications
Appendix B: Introduction to U.S. and Metric Units of Measurement
Appendix C: Additional Arithmetic Practice
Appendix D: Foundations for Intermediate Algebra: A Transition from Beginning to Intermediate Algebra
Appendix E: Determinants and Cramer's Rule
Appendix F: Solving Systems of Linear Equations Using Matrices
Appendix G: Sets