Elementary Algebra is typically a 1-semester course that provides a solid foundation in algebraic skills and reasoning for students who have little or no previous experience with the topic. The goal is to effectively prepare students to transition into Intermediate Algebra.
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Höhe: 276 mm
Breite: 216 mm
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ISBN-13
978-0-13-146766-8 (9780131467668)
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Michael Sullivan, III, Joliet Junior College
With training in mathematics, statistics, and economics, Michael Sullivan, III has a varied teaching background that includes 15 years of instruction in both high school and college-level mathematics. He is currently a full-time professor of mathematics at Joliet Junior College. Michael has numerous textbooks in publication, including an Introductory Statistics series, and a Precalculus series, which he writes with his father, Michael Sullivan. Michael believes that his experiences writing texts for college-level math and statistics courses give him a unique perspective as to where students are headed once they leave the developmental mathematics tract. This experience is reflected in the philosophy and presentation of his developmental text series. When not in the classroom or writing, Michael enjoys spending time with his three children, Michael, Kevin, and Marissa, and playing golf. Now that his two sons are getting older, he has the opportunity to do both at the same time!
Kathy Struve, Columbus State Community College
Kathy Struve has been a classroom teacher for nearly 25 years, first at the high school level, and, for the past 13 years, at Columbus State Community College. Kathy emphasizes classroom diversity: diversity of age, learning styles, and previous learning success. She is aware of the challenges of teaching mathematics at a large, urban community college, where students have varied mathematics backgrounds, and may enter college with a high level of mathematics anxiety. Kathy served as Lead Instructor of the Developmental Algebra sequence at Columbus State where she developed curriculum and provided leadership to adjunct faculty in implementing graphing calculator technology in the classroom. She has authored classroom activities at the Elementary Algebra, Intermediate Algebra, and College Algebra levels and conducted workshops at local, state, and national conferences on both integrating graphing calculator applications into the curriculum and developing varied forms of assessment. This textbook incorporates her 25 years of experience in addressing the individual needs of students.
I. Getting Ready for Algebra
Chapter 1 - Operations on Real Numbers and Algebraic Expressions
1.1 Success in Mathematics
1.2 The Number Systems and the Real Number Line
1.3 Adding, Subtracting, Multiplying, and Dividing Integers
1.4 Adding, Subtracting, Multiplying, and Dividing Rational Numbers Expressed as Fractions and Decimals
Putting the Concepts Together (Sections 1.1 - 1.4)
1.5 Properties of Real Numbers
1.6 Exponents and the Order of Operations
1.7 Simplifying Algebraic Expressions
Chapter 1 Activity
Chapter 1 Review
Chapter 1 Test
II. Developing Algebraic Skills Using One Unknown
Chapter 2-Equations and Inequalities in One Variable
2.1 Linear Equations: The Addition and Multiplication Properties of Equality
2.2 Linear Equations: Using the Properties Together
2.3 Solving Linear Equations Involving Fractions and Decimals; Classifying Equations
2.4 Evaluating Formulas and Solving Formulas for a Variable
Putting the Concepts Together (Sections 2.1 - 2.4)
2.5 Introduction to Problem Solving: Direct Translation Problems
2.6 Problem Solving: Direct Translation Problems Involving Percent
2.7 Problem Solving: Geometry and Uniform Motion
2.8 Solving Inequalities in One Variable
Chapter 2 Activity
Chapter 2 Review
Chapter 2 Test
Chapter 3 - Exponents and Polynomials
3.1 Adding and Subtracting Polynomials
3.2 Multiplying Monomials: The Product and Power Rules
3.3 Multiplying Polynomials
3.4 Dividing Monomials: The Quotient Rule and Integer Exponents
Putting the Concepts Together (Sections 3.1 - 3.4)
3.5 Dividing Polynomials
3.6 Applying Exponent Rules: Scientific Notation
Chapter 3 Activity
Chapter 3 Review
Chapter 3 Test
Cumulative Review Chapters 1 - 3
Chapter 4 - Factoring Polynomials
4.1 Greatest Common Factor and Factoring by Grouping
4.2 Factoring Trinomials of the Form x2 + bx + c
4.3 Factoring Trinomials of the Form ax2 + bx + c, a ? 1
4.4 Factoring Special Products
4.5 Summary of Factoring Techniques
Putting the Concepts Together (Sections 4.1 - 4.5)
4.6 Solving Polynomial Equations by Factoring
4.7 Modeling and Solving Problems with Quadratic Equations
Chapter 4 Activity
Chapter 4 Review
Chapter 4 Test
Chapter 5 - Rational Expressions and Equations
5.1 Simplifying Rational Expressions
5.2 Multiplying and Dividing Rational Expressions
5.3 Adding and Subtracting Rational Expressions with a Common Denominator
5.4 Finding the Least Common Denominator and Forming Equivalent Rational Expressions
5.5 Adding and Subtracting Rational Expressions with Unlike Denominators
5.6 Complex Rational Expressions
Putting the Concepts Together (Sections 5.1 - 5.6)
5.7 Rational Equations
5.8 Models Involving Rational Expressions
Chapter 5 Activity
Chapter 5 Review
Chapter 5 Test
Cumulative Review Chapters 1 - 5
Chapter 6 - Roots and Radicals
6.1 Introduction to Square Roots
6.2 Simplifying Square Roots
6.3 Adding and Subtracting Square Roots
6.4 Multiplying Expressions with Square Roots
6.5 Dividing Expressions with Square Roots
Putting the Concepts Together (Sections 6.1 - 6.5)
6.6 Solving Equations Containing Square Roots
6.7 Higher Roots and Rational Exponents
Chapter 6 Activity
Chapter 6 Review
Chapter 6 Test
Chapter 7 - Quadratic Equations
7.1 Solving Quadratic Equations Using the Square Root Property
7.2 Solving Quadratic Equations by Completing the Square
7.3 Solving Quadratic Equations Using the Quadratic Formula
Putting the Concepts Together (Sections 7.1 - 7.3)
7.4 Problem Solving Using Quadratic Equations
7.5 The Complex Number System
Chapter 7 Activity
Chapter 7 Review
Chapter 7 Test
Cumulative Review Chapters 1 - 7
III. Developing Algebraic Skills Using Two Unknowns
Chapter 8 - Introduction to Graphing and Equations of Lines
8.1 The Rectangular Coordinate System and Equations in Two Variables
8.2 Graphing Equations in Two Variables
8.3 Slope
8.4 Slope-Intercept Form of a Line
8.5 Point-Slope Form of a Line
8.6 Parallel and Perpendicular Lines
Putting the Concepts Together (Sections 8.1 - 8.6)
8.7 Variation
8.8 Linear Inequalities in Two Variables
Chapter 8 Activity
Chapter 8 Review
Chapter 8 Test
Chapter 9 - Systems of Linear Equations and Inequalities
9.1 Solving Systems of Linear Equations by Graphing
9.2 Solving Systems of Linear Equations Using Substitution
9.3 Solving Systems of Linear Equations Using Elimination
Putting the Concepts Together (Sections 9.1 - 9.3)
9.4 Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations
9.5 Solving Mixture Problems Using Systems of Linear Equations
9.6 Systems of Linear Inequalities
Chapter 9 Activity
Chapter 9 Review
Chapter 9 Test
Cumulative Review Chapters 1 - 9
Chapter 10 - Graphs of Quadratic Equations in Two Variables and an Introduction to Functions
10.1 Quadratic Equations in Two Variables
10.2 Relations
Putting the Concepts Together (Sections 10.1 - 10.2)
10.3 An Introduction to Functions
Chapter 10 Activity
Chapter 10 Review
Chapter 10 Test
Cumulative Review Chapters 1 - 10
Appendix
A.1 Fractions
A.2 Decimals and Percents
B. Geometry
C. Table of Square Roots
