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The Bittinger Worktext Series recognizes that math hasn’t changed, but students—and the way they learn math—have. This latest edition continues the Bittinger tradition of objective-based, guided learning, while also integrating timely updates to the proven pedagogy. This edition has a greater emphasis on guided learning and helping students get the most out of all of the resources available, including new mobile learning resources, whether in a traditional lecture, hybrid, lab-based, or online course.
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Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University Purdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana, with his wife Elaine. He has two grown and married sons, Lowell and Chris, and four granddaughters.
Judy Beecher has an undergraduate degree in mathematics from Indiana University and a graduate degree in mathematics from Purdue University. She has taught at both the high school and college levels with many years of developmental math and precalculus teaching experience at Indiana University—Purdue University Indianapolis. In addition to her career in textbook publishing, she spends time traveling, enjoying her grandchildren, and promoting charity projects for a children's camp.
Barbara Johnson has a BS in mathematics from Bob Jones University and a MS in math from Clemson University. She has taught high school and college math for 30 years, and enjoys the challenge of helping each student grow in appreciation for and understanding of mathematics. As a Purdue Master Gardener, she also enjoys helping others learn gardening skills. Believing that the best teacher is always learning, she recently earned a black belt in karate.
1. The Whole Numbers
1.1 Place Value and Understanding Whole Numbers
1.2 Adding and Subtracting Whole Numbers
1.3 Rounding and Estimating
1.4 Multiplying Whole Numbers
1.5 Dividing Whole Numbers
1.6 Exponents and Order of Operations
1.7 Prealgebra with Whole Numbers
1.8 Applications of Whole Numbers: Perimeter, Area, Money, and More
2. Integers
2.1 Introduction to Integers
2.2 Adding Integers
2.3 Subtracting Integers
2.4 Multiplying and Dividing Integers
2.5 Order of Operations
2.6 Prealgebra with Integers
2.7 Applications of Integers: Money, Temperature, and More
3. Solving Linear Equations
3.1 Simplifying Algebraic Expressions
3.2 Solving Linear Equations: The Addition Property of Equality
3.3 Solving Linear Equations: The Multiplication Property of Equality
3.4 Solving Linear Equations: Several Steps and Using Formulas
3.5 Applications of Linear Equations: Numbers, Geometry Formulas, and More
4. Fractions and Mixed Numbers
4.1 Understanding Fractions and Mixed Numbers
4.2 Simplifying Fractions
4.3 Multiplying and Dividing Fractions
4.4 Adding and Subtracting Fractions with the Same Denominator; Least Common Denominator
4.5 Adding and Subtracting Unlike Fractions
4.6 Operations on Mixed Numbers
4.7 Order of Operations and Complex Fractions
4.8 Prealgebra with Fractions: Expressions
4.9 Prealgebra with Fractions: Equations
4.10 Applications of Fractions: Numbers, Geometry, and More
5. Decimals
5.1 Introduction to Decimals
5.2 Adding and Subtracting Decimals
5.3 Multiplying Decimals
5.4 Dividing Decimals and Order of Operations
5.5 Fractions and Decimals
5.6 Prealgebra with Decimals
5.7 Applications of Decimals: Money, Geometry, and More
6. Ratios, Proportions, and Line/Angle/Triangle Relationships
6.1 Ratios and Rates
6.2 Proportions
6.3 Lines and Angles
6.4 Square Roots and the Pythagorean Theorem
6.5 Congruent and Similar Triangles
6.6 Applications of Ratios, Rates, Proportions, and Triangle Relationships
7. Percent
7.1 Percents, Decimals, and Fractions
7.2 Solving Percent Problems: Proportions
7.3 Solving Percent Problems: Equations
7.4 Applications of Percent: Translating and Percent Increase/Decrease
7.5 Applications of Percent: Discounts, Markups, Tips, and Simple Interest
8. Units of Measure
8.1 U.S. System Units of Measure
8.2 Metric System Units of Measure
8.3 Metric—U.S. Conversions and Temperature
8.4 Applications of Measurement
9. Graphing, Statistics, and Probability
9.1 Pictographs, Bar Graphs, Histograms, and Line Graphs
9.2 Circle Graphs
9.3 Introduction to Statistics: Mean, Median, and Mode
9.4 Introduction to Probability: The Fundamental Principal of Counting
10. Real Numbers, Equations, and Inequalities
10.1 Real Numbers and the Number Line
10.2 Properties of Real Numbers
10.3 Solving Linear Equations: Fractions, Decimals, and More
10.4 Further Algebraic Skills with Formulas
10.5 Further Problem Solving and Linear Applications
10.6 Solving Linear Inequalities
10.7 Applications of Linear Inequalities
11. Graphing Equations and Inequalities
11.1 Linear Equations in Two Variables: Ax + By = C
11.2 Graphing Linear Equations
11.3 Slope of a Line
11.4 Equations of Lines
11.5 Graphing Linear Inequalities in Two Variables
11.6 Applications of Linear Equations and Inequalities and Their Graphs
11.7 Introduction to Functions
12. Systems of Linear Equations and Inequalities
12.1 Solving Systems of Linear Equations: Graphing Method
12.2 Solving Systems of Linear Equations: Substitution Method
12.3 Solving Systems of Linear Equations: Addition Method
12.4 Solving Systems of Linear Inequalities
12.5 Applying Systems of Linear Equations
13. Exponents and Polynomials
13.1 The Product Rule and Power Rules for Exponents
13.2 Integer Exponents and the Quotient Rule
13.3 Introduction to Polynomials
13.4 Adding and Subtracting Polynomials
13.5 Multiplying Polynomials
13.6 Special Products
13.7 Dividing Polynomials
13.8 Applying Exponents: Scientific Notation
13.9 Applying Polynomials
14. Factoring Polynomials
14.1 The Greatest Common Factor
14.2 Factoring Trinomials of the Form x^{2} + bx + c
14.3 Factoring Trinomials of the Form ax^{2} + bx + c
14.4 Special Factoring Techniques
14.5 A General Strategy for Factoring Polynomials
14.6 Solving Quadratic Equations by Factoring
14.7 Applying Quadratic Equations
15. Rational Expressions and Applications
15.1 Simplifying Rational Expressions
15.2 Multiplying and Dividing Rational Expressions
15.3 Adding and Subtracting Rational Expressions with the Same Denominator
15.4 Adding and Subtracting Rational Expressions with Different Denominators
15.5 Simplifying Complex Fractions
15.6 Solving Equations Containing Rational Expressions
15.7 Applying Rational Equations: Numbers, Rates, and Work
15.8 Applying Rational Equations: Variation
16. Roots and Radicals
16.1 Introduction to Radicals
16.2 Simplifying Radicals
16.3 Adding and Subtracting Radicals
16.4 Multiplying and Dividing Radicals
16.5 Rational Exponents
16.6 Solving Equations Containing Radicals
16.7 Applying Radicals
16.8 Complex Numbers
17. Quadratic Equations
17.1 Solving Quadratic Equations by the Square Root Property
17.2 Solving Quadratic Equations by Completing the Square
17.3 Solving Quadratic Equations by the Quadratic Formula
17.4 Graphing Quadratic Equations in Two Variables
17.5 Applying Quadratic Equations
18. Exponential and Logarithmic Functions
18.1 Functions: Algebra and Composition
18.2 Inverse Functions
18.3 Exponential Functions
18.4 Logarithmic Functions
18.5 Properties of Logarithms
18.6 Common Logarithms, Natural Logarithms, and Change of Base of Logarithms
18.7 Solving Applications Using Exponential and Logarithmic Equations
19. Conic Sections and Further Algebraic Topics
19.1 The Distance Formula and the Circle
19.2 The Parabola, Ellipse, and Hyperbola
19.3 Compound Inequalities
19.4 Absolute Value Equations and Inequalities
19.5 Solving Nonlinear Systems of Equations
Answers
Index