# Prealgebra & Introductory Algebra

2^{nd}Edition

ISBN10: 1259610330

ISBN13: 9781259610332

Copyright: 2020

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The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

### 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.**

#### Accessibility Rubric

Creating accessible products is a priority for McGraw-Hill. We have put in place processes to make accessibility and meeting the WCAG AA guidelines part of our day-to-day development efforts and product roadmaps.

Please review our accessibility information for this specific product.

In future editions, this rubric will be reformatted to increase accessibility and usability.

McGraw-Hill sites may contain links to websites owned and operated by third parties. These links are provided as supplementary materials, and for learners’ information and convenience only. McGraw-Hill has no control over and is not responsible for the content or accessibility of any linked website.

**For further information on McGraw‐Hill and Accessibility, please visit our accessibility page or contact us at accessibility@mheducation.com**

## 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.**

#### Accessibility Rubric

Creating accessible products is a priority for McGraw-Hill. We have put in place processes to make accessibility and meeting the WCAG AA guidelines part of our day-to-day development efforts and product roadmaps.

Please review our accessibility information for this specific product.

In future editions, this rubric will be reformatted to increase accessibility and usability.

McGraw-Hill sites may contain links to websites owned and operated by third parties. These links are provided as supplementary materials, and for learners’ information and convenience only. McGraw-Hill has no control over and is not responsible for the content or accessibility of any linked website.

**For further information on McGraw‐Hill and Accessibility, please visit our accessibility page or contact us at accessibility@mheducation.com**

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