Prealgebra & Introductory Algebra https://www.mheducation.com/cover-images/Jpeg_400-high/1259610330.jpeg 2 9781259610332 Create more lightbulb moments with this comprehensive set of valuable content and insightful, intuitive digital learning resources! This new 2nd edition of the Miller/O'Neill/Hyde Prealgebra and Introductory Algebra text seeks to serve the changing dynamics of today's curriculum by thoughtfully interweaving the topics of two foundational building blocks in students' mathematical journey. The text reflects the compassion of its experienced author team with features developed to address the specific needs of today's prealgebra and introductory algebra students. Included alongside the highly-favorable Problem Recognition Exercises, readers will find added review material, aimed at assisting students with synthesis, summarization, and recognition of key mathematical topics so as to enhance their overall conceptual understanding. These types of exercises, along with the overall number of practice problems and group activities available, permit instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills.
Prealgebra & Introductory Algebra

Prealgebra & Introductory Algebra

2nd Edition
By Julie Miller and Molly O'Neill and Nancy Hyde
ISBN10: 1259610330
ISBN13: 9781259610332
Copyright: 2020
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Program Details

Chapter 1: Whole Numbers

1.1 Study Tips

1.2 Introduction to Whole Numbers

1.3 Addition and Subtraction of Whole Numbers and Perimeter

1.4 Rounding and Estimating

1.5 Multiplication of Whole Numbers and Area

1.6 Division of Whole Numbers

1.7 Exponents, Algebraic Expressions, and the Order of Operations

1.8 Mixed Applications and Computing Mean

Chapter 2: Integers and Algebraic Expressions

2.1 Integers, Absolute Value, and Opposite

2.2 Addition of Integers

2.3 Subtraction of Integers

2.4 Multiplication and Division of Integers

2.5 Order of Operations and Algebraic Expressions

Chapter 3: Solving Equations

3.1 Simplifying Expressions and Combining Like Terms

3.2 Addition and Subtraction Properties of Equality

3.3 Multiplication and Division Properties of Equality

3.4 Solving Equations with Multiple Steps

3.5 Applications and Problem Solving

Chapter 4: Fractions and Mixed Numbers

4.1 Introduction to Fractions and Mixed Numbers

4.2 Simplifying Fractions

4.3 Multiplication and Division of Fractions

4.4 Least Common Multiple and Equivalent Fractions

4.5 Addition and Subtraction of Fractions

4.6 Estimation and Operations on Mixed Numbers

4.7 Order of Operations and Complex Fractions

4.8 Solving Equations Containing Fractions

Chapter 5: Decimals

5.1 Decimal Notation and Rounding

5.2 Addition and Subtraction of Decimals

5.3 Multiplication of Decimals and Applications with Circles

5.4 Division of Decimals

5.5 Fractions, Decimals, and the Order of Operations

5.6 Solving Equations Containing Decimals

Chapter 6: Ratio, Proportion, and Percent

6.1 Ratios

6.2 Rates and Unit Cost

6.3 Proportions and Applications of Proportions

6.4 Percents, Fractions, and Decimals

6.5 Peent Proportions and Applications

6.6 Percent Equations and Applications

6.7 Applications of Sales Tax, Commission, Discount, Markup, and Percent Increase and Decrease

6.8 Simple and Compound Interest

Chapter 7: Measurement and Geometry

7.1 U.S. Customary Units of Measurement

7.2 Metric Units of Measurement

7.3 Converting Between U.S. Customary and Metric Units

7.4 Medical Applications Involving Measurement

7.5 Lines and Angles

7.6 Triangles and the Pythagorean Theorem

7.7 Perimeter, Circumference, and Area

7.8 Volume and Surface Area

Chapter 8: Introduction to Statistics

8.1 Tables, Bar Graphs, Pictographs, and Line Graphs

8.2 Frequency Distributions and Histograms

8.3 Circle Graphs

8.4 Mean, Median, and Mode

Chapter 9: Linear Equations and Inequalities

9.1 Sets of Numbers and the Real Number Line

9.2 Solving Linear Equations

9.3 Linear Equations: Clearing Fractions and Decimals

9.4 Applications of Linear Equations: Introduction to Problem Solving

9.5 Applications Involving Percents

9.6 Formulas and Applications of Geometry

9.7 Linear Inequalities

Chapter 10: Graphing Linear Equations in Two Variables

10.1 Rectangular Coordinate System

10.2 Linear Equations in Two Variables

10.3 Slope of a Line and Rate of Change

10.4 Slope-Intercept Form of a Linear Equation

10.5 Point-Slope Formula

10.6 Applications of Linear Equations and Modeling

Chapter 11: Systems of Linear Equations in Two Variables

11.1 Solving Systems of Equations by the Graphing Method

11.2 Solving Systems of Equations by the Substitution Method

11.3 Solving Systems of Equations by the Addition Method

11.4 Applications of Linear Equations in Two Variables

11.5 Linear Inequalities and Systems of Inequalities in Two Variables

Chapter 12: Polynomials and Properties of Exponents

12.1 Multiplying and Dividing Expressions with Common Bases

12.2 More Properties of Exponents

12.3 Definitions of b^0 and b^-n

12.4 Scientific Notation

12.5 Addition and Subtraction of Polynomials

12.6 Multiplication of Polynomials and Special Products

12.7 Division of Polynomials

Chapter 13: Factoring Polynomials

13.1 Greatest Common Factor and Factoring by Grouping

13.2 Factoring Trinomials of the Form x^2 + bx + c

13.3 Factoring Trinomials: Trial-and-Error Method

13.4 Factoring Trinomials: AC-Method

13.5 Difference of Squares and Perfect Square Trinomials

13.6 Sum and Difference of Cubes 

13.7 Solving Equations Using the Zero Product Rule

13.8 Applications of Quadratic Equations

Chapter 14: Rational Expressions and Equations

14.1 Introduction to Rational Expressions

14.2 Multiplication and Division of Rational Expressions

14.3 Least Common Denominator

14.4 Addition and Subtraction of Rational Expressions

14.5 Complex Fractions

14.6 Rational Equations

14.7 Applications of Rational Equations and Proportions

Chapter 15: Radicals

15.1 Introduction to Roots and Radicals

15.2 Simplifying Radicals

15.3 Addition and Subtraction of Radicals

15.4 Multiplication of Radicals

15.5 Division of Radicals and Rationalization

15.6 Radical Equations

Chapter 16: Quadratic Equations, Complex Numbers, and Functions

16.1 The Square Root Property

16.2 Completing the Square

16.3 Quadratic Formula

16.4 Graphing Quadratic Equations

16.5 Introduction to Functions

Appendix

A.1 Introduction to Probability

A.2 Variation

About the Author

Julie Miller

Julie Miller is from Daytona State College, where she has taught developmental and upper-level mathematics courses for 20 years. Prior to her work at Daytona State College, she worked as a software engineer for General Electric in the area of flight and radar simulation. Julie earned a bachelor of science in applied mathematics from Union College in Schenectady, New York, and a master of science in mathematics from the University of Florida. In addition to this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus, as well as several short works of fiction and nonfiction for young readers.
My father is a medical researcher, and I got hooked on math and science when I was young and would visit his laboratory. I can remember using graph paper to plot data points for his experiments and doing simple calculations. He would then tell me what the peaks and features in the graph meant in the context of his experiment. I think that applications and hands-on experience made math come alive for me and I’d like to see math come alive for my students.

Molly O'Neill

Molly ONeill is from Daytona State College, where she has taught for 22 years in the School of Mathematics. She has taught a variety of courses from developmental mathematics to calculus. Before she came to Florida, Molly taught as an adjunct instructor at the University of Michigan-Dearborn, Eastern Michigan University, Wayne State University, and Oakland Community College. Molly earned a bachelor of science in mathematics and a master of arts and teaching from Western Michigan University in Kalamazoo, Michigan. Besides this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus and has reviewed texts for developmental mathematics.
I differ from many of my colleagues in that math was not always easy for me. But in seventh grade I had a teacher who taught me that if I follow the rules of mathematics, even I could solve math problems. Once I understood this, I enjoyed math to the point of choosing it for my career. I now have the greatest job because I get to do math every day and I have the opportunity to influence my students just as I was influenced. Authoring these texts has given me another avenue to reach even more students.

Nancy Hyde

Nancy Hyde served as a full-time faculty member of the Mathematics Department at Broward College for 24 years. During this time she taught the full spectrum of courses from developmental math through differential equations. She received a bachelor of science degree in math education from Florida State University and a master’s degree in math education from Florida Atlantic University. She has conducted workshops and seminars for both students and teachers on the use of technology in the classroom. In addition to this textbook, she has authored a graphing calculator supplement for College Algebra.
I grew up in Brevard County, Florida, where my father worked at Cape Canaveral. I was always excited by mathematics and physics in relation to the space program. As I studied higher levels of mathematics I became more intrigued by its abstract nature and infinite possibilities. It is enjoyable and rewarding to convey this perspective to students while helping them to understand mathematics.

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