Student Workbook for Elementary and Intermediate Algebra for College Students
5th Edition
Will be published approx. on 13. July 2018
Book
Paperback/Softback
408 pages
978-0-13-479516-4 (ISBN)
More details
Edition
5th edition
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
College/higher education
ISBN-13
978-0-13-479516-4 (9780134795164)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Previous edition
Allen R. Angel | Dennis Runde
Student Workbook for Elementary and Intermediate Algebra for College Students, Media Update
Book
08/2014
4th Edition
Pearson
€45.87
Article exhausted; check for reprint
Persons
Allen Angel received his BS and MS in mathematics from SUNY at New Paltz. He completed additional graduate work at Rutgers University. He taught at Sullivan County Community College and Monroe Community College, where he served as chairperson of the Mathematics Department. He served as Assistant Director of the National Science Foundation at Rutgers University for the summers of 1967 - 1970. He was President of The New York State Mathematics Association of Two Year Colleges (NYSMATYC). He also served as Northeast Vice President of the American Mathematics Association of Two Year Colleges (AMATYC). Allen lives in Palm Harbor, Florida but spends his summers in Penfield, New York. He enjoys playing tennis and watching sports. He also enjoys traveling with his wife Kathy.
Dennis Runde received his BS and MS in mathematics from the University of Wisconsin-Platteville and Milwaukee, respectively. He has a PhD in Mathematics Education from the University of South Florida. He has been teaching for twenty-seven years at State College of Florida-Manatee-Sarasota. His interests include reading, history, fishing, trivia contests, and cooking. He and his wife Kristin are the proud parents of their three sons - Alex, Nick, and Max.
Dennis Runde received his BS and MS in mathematics from the University of Wisconsin-Platteville and Milwaukee, respectively. He has a PhD in Mathematics Education from the University of South Florida. He has been teaching for twenty-seven years at State College of Florida-Manatee-Sarasota. His interests include reading, history, fishing, trivia contests, and cooking. He and his wife Kristin are the proud parents of their three sons - Alex, Nick, and Max.
Content
Preface
To the Student
1. Real Numbers
1.1 Study Skills for Success in Mathematics
1.2 Problem Solving
1.3 Fractions
1.4 The Real Number System
1.5 Inequalities
Mid-Chapter Test: Sections 1.1-1.5
1.6 Addition of Real Numbers
1.7 Subtraction of Real Numbers
1.8 Multiplication and Division of Real Numbers
1.9 Exponents, Parentheses, and the Order of Operations
1.10 Properties of the Real Number System
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Practice Test
2. Solving Linear Equations and Inequalities
2.1 Combining Like Terms
2.2 The Addition Property of Equality
2.3 The Multiplication Property of Equality
2.4 Solving Linear Equations with a Variable on Only One Side of the Equation
Mid-Chapter Test: Sections 2.1-2.4
2.5 Solving Linear Equations with the Variable on Both Sides of the Equation
2.6 Formulas
2.7 Ratios and Proportions
2.8 Inequalities in One Variable
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Practice Test
Cumulative Review Test
3. Applications of Algebra
3.1 Changing Application Problems into Equations
3.2 Solving Application Problems
Mid-Chapter Test: Sections 3.1-3.2
3.3 Geometric Problems
3.4 Motion, Money, and Mixture Problems
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Practice Test
Cumulative Review Test
4. Graphing Linear Equations
4.1 The Cartesian Coordinate System and Linear Equations in Two Variables
4.2 Graphing Linear Equations
4.3 Slope of a Line
Mid-Chapter Test: Sections 4.1-4.3
4.4 Slope-Intercept and Point-Slope Forms of a Linear Equation
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Practice Test
Cumulative Review Test
5. Exponents and Polynomials
5.1 Exponents
5.2 Negative Exponents
5.3 Scientific Notation
Mid-Chapter Test: Sections 5.1-5.3
5.4 Addition and Subtraction of Polynomials
5.5 Multiplication of Polynomials
5.6 Division of Polynomials
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Practice Test
Cumulative Review Test
6. Factoring
6.1 Factoring a Monomial from a Polynomial
6.2 Factoring by Grouping
6.3 Factoring Trinomials of the Form ax2 + bx + c, a = 1
6.4 Factoring Trinomials of the Form ax2 + bx + c, a ? 1
Mid-Chapter Test: Sections 6.1-6.4
6.5 Special Factoring Formulas and a General Review of Factoring
6.6 Solving Quadratic Equations Using Factoring
6.7 Applications of Quadratic Equations
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Practice Test
Cumulative Review Test
7. Rational Expressions and Equations
7.1 Simplifying Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator
7.4 Addition and Subtraction of Rational Expressions
Mid-Chapter Test: Sections 7.1-7.4
7.5 Complex Fractions
7.6 Solving Rational Equations
7.7 Rational Equations: Applications and Problem Solving
7.8 Variation
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Practice Test
Cumulative Review Test
8. Functions and Their Graphs
8.1 More on Graphs
8.2 Functions
8.3 Linear Functions
Mid-Chapter Test: Sections 8.1-8.3
8.4 Slope, Modeling, and Linear Relationships
8.5 The Algebra of Functions
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Practice Test
Cumulative Review Test
9. Systems of Linear Equations
9.1 Solving Systems of Equations Graphically
9.2 Solving Systems of Equations by Substitution
9.3 Solving Systems of Equations by the Addition Method
9.4 Solving Systems of Linear Equations in Three Variables
Mid-Chapter Test: Sections 9.1-9.4
9.5 Systems of Linear Equations: Applications and Problem Solving
9.6 Solving Systems of Equations Using Matrices
9.7 Solving Systems of Equations Using Determinants and Cramer's Rule
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Practice Test
Cumulative Review Test
10. Inequalities in One and Two Variables
10.1 Solving Linear Inequalities in One Variable
10.2 Solving Equations and Inequalities Containing Absolute Values
Mid-Chapter Test: Sections 10.1-10.2
10.3 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities
Chapter 10 Summary
Chapter 10 Review Exercises
Chapter 10 Practice Test
Cumulative Review Test
11. Roots, Radicals, and Complex Numbers
11.1 Roots and Radicals
11.2 Rational Exponents
11.3 Simplifying Radicals
11.4 Adding, Subtracting, and Multiplying Radicals
Mid-Chapter Test: Sections 11.1-11.4
11.5 Dividing Radicals
11.6 Solving Radical Equations
11.7 Complex Numbers
Chapter 11 Summary
Chapter 11 Review Exercises
Chapter 11 Practice Test
Cumulative Review Test
12. Quadratic Functions
12.1 Solving Quadratic Equations by Completing the Square
12.2 Solving Quadratic Equations by the Quadratic Formula
12.3 Quadratic Equations: Applications and Problem Solving
Mid-Chapter Test: Sections 12.1-12.3
12.4 Factoring Expressions and Solving Equations That Are Quadratic in Form
12.5 Graphing Quadratic Functions
12.6 Quadratic, Polynomial, and Rational Inequalities in One Variable
Chapter 12 Summary
Chapter 12 Review Exercises
Chapter 12 Practice Test
Cumulative Review Test
13. Exponential and Logarithmic Functions
13.1 Composite and Inverse Functions
13.2 Exponential Functions
13.3 Logarithmic Functions
13.4 Properties of Logarithms
Mid-Chapter Test: Sections 13.1-13.4
13.5 Common Logarithms
13.6 Exponential and Logarithmic Equations
13.7 Natural Exponential and Natural Logarithmic Functions
Chapter 13 Summary
Chapter 13 Review Exercises
Chapter 13 Practice Test
Cumulative Review Test
14. Conic Sections
14.1 The Parabola and the Circle
14.2 The Ellipse
Mid-Chapter Test: Sections 14.1-14.2
14.3 The Hyperbola
14.4 Nonlinear Systems of Equations and Their Applications
Chapter 14 Summary
Chapter 14 Review Exercises
Chapter 14 Practice Test
Cumulative Review Test
15. Sequences, Series, and the Binomial Theorem
15.1 Sequences and Series
15.2 Arithmetic Sequences and Series
15.3 Geometric Sequences and Series
Mid-Chapter Test: Sections 15.1-15.3
15.4 The Binomial Theorem
Chapter 15 Summary
Chapter 15 Review Exercises
Chapter 15 Practice Test
Cumulative Review Test
APPENDICES
A. Review of Decimals and Percent
B. Finding the Greatest Common Factor and Least Common Denominator
C. Geometry
D. Review of Exponents, Polynomials, and Factoring
Answers Applications Index Subject Index
To the Student
1. Real Numbers
1.1 Study Skills for Success in Mathematics
1.2 Problem Solving
1.3 Fractions
1.4 The Real Number System
1.5 Inequalities
Mid-Chapter Test: Sections 1.1-1.5
1.6 Addition of Real Numbers
1.7 Subtraction of Real Numbers
1.8 Multiplication and Division of Real Numbers
1.9 Exponents, Parentheses, and the Order of Operations
1.10 Properties of the Real Number System
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Practice Test
2. Solving Linear Equations and Inequalities
2.1 Combining Like Terms
2.2 The Addition Property of Equality
2.3 The Multiplication Property of Equality
2.4 Solving Linear Equations with a Variable on Only One Side of the Equation
Mid-Chapter Test: Sections 2.1-2.4
2.5 Solving Linear Equations with the Variable on Both Sides of the Equation
2.6 Formulas
2.7 Ratios and Proportions
2.8 Inequalities in One Variable
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Practice Test
Cumulative Review Test
3. Applications of Algebra
3.1 Changing Application Problems into Equations
3.2 Solving Application Problems
Mid-Chapter Test: Sections 3.1-3.2
3.3 Geometric Problems
3.4 Motion, Money, and Mixture Problems
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Practice Test
Cumulative Review Test
4. Graphing Linear Equations
4.1 The Cartesian Coordinate System and Linear Equations in Two Variables
4.2 Graphing Linear Equations
4.3 Slope of a Line
Mid-Chapter Test: Sections 4.1-4.3
4.4 Slope-Intercept and Point-Slope Forms of a Linear Equation
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Practice Test
Cumulative Review Test
5. Exponents and Polynomials
5.1 Exponents
5.2 Negative Exponents
5.3 Scientific Notation
Mid-Chapter Test: Sections 5.1-5.3
5.4 Addition and Subtraction of Polynomials
5.5 Multiplication of Polynomials
5.6 Division of Polynomials
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Practice Test
Cumulative Review Test
6. Factoring
6.1 Factoring a Monomial from a Polynomial
6.2 Factoring by Grouping
6.3 Factoring Trinomials of the Form ax2 + bx + c, a = 1
6.4 Factoring Trinomials of the Form ax2 + bx + c, a ? 1
Mid-Chapter Test: Sections 6.1-6.4
6.5 Special Factoring Formulas and a General Review of Factoring
6.6 Solving Quadratic Equations Using Factoring
6.7 Applications of Quadratic Equations
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Practice Test
Cumulative Review Test
7. Rational Expressions and Equations
7.1 Simplifying Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator
7.4 Addition and Subtraction of Rational Expressions
Mid-Chapter Test: Sections 7.1-7.4
7.5 Complex Fractions
7.6 Solving Rational Equations
7.7 Rational Equations: Applications and Problem Solving
7.8 Variation
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Practice Test
Cumulative Review Test
8. Functions and Their Graphs
8.1 More on Graphs
8.2 Functions
8.3 Linear Functions
Mid-Chapter Test: Sections 8.1-8.3
8.4 Slope, Modeling, and Linear Relationships
8.5 The Algebra of Functions
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Practice Test
Cumulative Review Test
9. Systems of Linear Equations
9.1 Solving Systems of Equations Graphically
9.2 Solving Systems of Equations by Substitution
9.3 Solving Systems of Equations by the Addition Method
9.4 Solving Systems of Linear Equations in Three Variables
Mid-Chapter Test: Sections 9.1-9.4
9.5 Systems of Linear Equations: Applications and Problem Solving
9.6 Solving Systems of Equations Using Matrices
9.7 Solving Systems of Equations Using Determinants and Cramer's Rule
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Practice Test
Cumulative Review Test
10. Inequalities in One and Two Variables
10.1 Solving Linear Inequalities in One Variable
10.2 Solving Equations and Inequalities Containing Absolute Values
Mid-Chapter Test: Sections 10.1-10.2
10.3 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities
Chapter 10 Summary
Chapter 10 Review Exercises
Chapter 10 Practice Test
Cumulative Review Test
11. Roots, Radicals, and Complex Numbers
11.1 Roots and Radicals
11.2 Rational Exponents
11.3 Simplifying Radicals
11.4 Adding, Subtracting, and Multiplying Radicals
Mid-Chapter Test: Sections 11.1-11.4
11.5 Dividing Radicals
11.6 Solving Radical Equations
11.7 Complex Numbers
Chapter 11 Summary
Chapter 11 Review Exercises
Chapter 11 Practice Test
Cumulative Review Test
12. Quadratic Functions
12.1 Solving Quadratic Equations by Completing the Square
12.2 Solving Quadratic Equations by the Quadratic Formula
12.3 Quadratic Equations: Applications and Problem Solving
Mid-Chapter Test: Sections 12.1-12.3
12.4 Factoring Expressions and Solving Equations That Are Quadratic in Form
12.5 Graphing Quadratic Functions
12.6 Quadratic, Polynomial, and Rational Inequalities in One Variable
Chapter 12 Summary
Chapter 12 Review Exercises
Chapter 12 Practice Test
Cumulative Review Test
13. Exponential and Logarithmic Functions
13.1 Composite and Inverse Functions
13.2 Exponential Functions
13.3 Logarithmic Functions
13.4 Properties of Logarithms
Mid-Chapter Test: Sections 13.1-13.4
13.5 Common Logarithms
13.6 Exponential and Logarithmic Equations
13.7 Natural Exponential and Natural Logarithmic Functions
Chapter 13 Summary
Chapter 13 Review Exercises
Chapter 13 Practice Test
Cumulative Review Test
14. Conic Sections
14.1 The Parabola and the Circle
14.2 The Ellipse
Mid-Chapter Test: Sections 14.1-14.2
14.3 The Hyperbola
14.4 Nonlinear Systems of Equations and Their Applications
Chapter 14 Summary
Chapter 14 Review Exercises
Chapter 14 Practice Test
Cumulative Review Test
15. Sequences, Series, and the Binomial Theorem
15.1 Sequences and Series
15.2 Arithmetic Sequences and Series
15.3 Geometric Sequences and Series
Mid-Chapter Test: Sections 15.1-15.3
15.4 The Binomial Theorem
Chapter 15 Summary
Chapter 15 Review Exercises
Chapter 15 Practice Test
Cumulative Review Test
APPENDICES
A. Review of Decimals and Percent
B. Finding the Greatest Common Factor and Least Common Denominator
C. Geometry
D. Review of Exponents, Polynomials, and Factoring
Answers Applications Index Subject Index