# College Algebra with Corequisite Support

1^{st}Edition

ISBN10: 1260867277

ISBN13: 9781260867275

Copyright: 2021

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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

# College Algebra with Corequisite Support 1e

### Chapter R: Review of Prerequisites

#### Section R.1 Operations on Fractions

#### Section R.2 The Set of Real Numbers

#### Section R.3 Simplifying Numerical Expressions

### Chapter 1: Linear Equations and Inequalities

#### Section 1.1 Algebraic Expressions and Models

#### Section 1.2 Linear Equations in One Variable

#### Section 1.3 Applications of Linear Equations in One Variable

#### Section 1.4 Union and Intersections of Sets

#### Section 1.5 Linear and Compound Inequalities

#### Section 1.6 Absolute Value Equations

#### Section 1.7 Absolute Value Inequalities

### Chapter 2: Polynomials

#### Section 2.1 Integer Exponents and Scientific Notation

#### Section 2.2 Operations on Polynomials

#### Section 2.3 Greatest Common Factor and Factoring by Grouping

#### Section 2.4 Factoring Trinomials

#### Section 2.5 Factoring Polynomials

### Chapter 3: Quadratic Equations

#### Section 3.1 Introduction to Radicals and Their Simplification

#### Section 3.2 Multiplying Radicals and Rationalizing the Denominator

#### Section 3.3 Complex Numbers

#### Section 3.4 Solving Quadratic Equations by Factoring

#### Section 3.5 Solving Quadratic Equations by Using the Square Root Property

#### Section 3.6 Solving Quadratic Equations by Using the Quadratic Formula

### Chapter 4: More Expressions and Equations

#### Section 4.1 Multiplication and Division of Rational Expressions

#### Section 4.2 Addition and Subtraction of Rational Expressions

#### Section 4.3 Rational Equations

#### Section 4.4 Applications of Rational Equations

#### Section 4.5 Rational Exponents

#### Section 4.6 Radical Equations and Equations with Rational Exponents

#### Section 4.7 Equations in Quadratic Form

### Chapter 5: Functions and Relations

#### Section 5.1 The Rectangular Coordinate System and Graphing Utilities

#### Section 5.2 Circles

#### Section 5.3 Functions and Relations

#### Section 5.4 Linear Equations in Two Variables and Linear Functions

#### Section 5.5 Applications of Linear Equations and Modeling

### Chapter 6: Transformations and Analysis of Functions

#### Section 6.1 Transformations of Graphs

#### Section 6.2 Symmetry and Piecewise-Defined Functions

#### Section 6.3 Average Rate of Change, Difference Quotient, and Function Behavior

#### Section 6.4 Algebra of Functions and Function Composition

### Chapter 7: Polynomial Functions

#### Section 7.1 Quadratic Functions and Applications

#### Section 7.2 Introduction to Polynomial Functions

#### Section 7.3 Division of Polynomials and the Remainder and Factor Theorems

#### Section 7.4 Zeros of Polynomials

#### Section 7.5 Polynomial Inequalities and Applications

### Chapter 8: Rational Functions

#### Section 8.1 Introduction to Rational Functions

#### Section 8.2 Graphs of Rational Functions

#### Section 8.3 Rational Inequalities

#### Section 8.4 Variation

### Chapter 9: Exponential and Logarithmic Functions

#### Section 9.1 Inverse Functions

#### Section 9.2 Exponential Functions

#### Section 9.3 Logarithmic Functions

#### Section 9.4 Properties of Logarithms

#### Section 9.5 Exponential Equations and Applications

#### Section 9.6 Logarithmic Equations and Applications

#### Section 9.7 Modeling with Exponential and Logarithmic Functions

### Chapter 10: Systems of Equations and Inequalities

#### Section 10.1 Graphs of Systems of Linear Equations in Two Variables

#### Section 10.2 Systems of Linear Equations in Two Variables and Applications

#### Section 10.3 Systems of Linear Equations in Three Variables and Applications

#### Section 10.4 Partial Fraction Decomposition

#### Section 10.5 Systems of Nonlinear Equations in Two Variables

#### Section 10.6 Inequalities and Systems of Inequalities in Two Variables

#### Section 10.7 Linear Programming

### Chapter 11: Matrices and Determinants and Applications

#### Section 11.1 Solving Systems of Linear Equations Using Matrices

#### Section 11.2 Inconsistent Systems and Dependent Equations

#### Section 11.3 Operations on Matrices

#### Section 11.4 Inverse Matrices and Matrix Equations

#### Section 11.5 Determinants and Cramer's Rule

### Chapter 12 (Online): Analytic Geometry

### Chapter 13 (Online): Sequences, Series, Induction, and Probability

# 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.**

**Donna Gerken**

#### 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**

# College Algebra with Corequisite Support 1e

### Chapter R: Review of Prerequisites

#### Section R.1 Operations on Fractions

#### Section R.2 The Set of Real Numbers

#### Section R.3 Simplifying Numerical Expressions

### Chapter 1: Linear Equations and Inequalities

#### Section 1.1 Algebraic Expressions and Models

#### Section 1.2 Linear Equations in One Variable

#### Section 1.3 Applications of Linear Equations in One Variable

#### Section 1.4 Union and Intersections of Sets

#### Section 1.5 Linear and Compound Inequalities

#### Section 1.6 Absolute Value Equations

#### Section 1.7 Absolute Value Inequalities

### Chapter 2: Polynomials

#### Section 2.1 Integer Exponents and Scientific Notation

#### Section 2.2 Operations on Polynomials

#### Section 2.3 Greatest Common Factor and Factoring by Grouping

#### Section 2.4 Factoring Trinomials

#### Section 2.5 Factoring Polynomials

### Chapter 3: Quadratic Equations

#### Section 3.1 Introduction to Radicals and Their Simplification

#### Section 3.2 Multiplying Radicals and Rationalizing the Denominator

#### Section 3.3 Complex Numbers

#### Section 3.4 Solving Quadratic Equations by Factoring

#### Section 3.5 Solving Quadratic Equations by Using the Square Root Property

#### Section 3.6 Solving Quadratic Equations by Using the Quadratic Formula

### Chapter 4: More Expressions and Equations

#### Section 4.1 Multiplication and Division of Rational Expressions

#### Section 4.2 Addition and Subtraction of Rational Expressions

#### Section 4.3 Rational Equations

#### Section 4.4 Applications of Rational Equations

#### Section 4.5 Rational Exponents

#### Section 4.6 Radical Equations and Equations with Rational Exponents

#### Section 4.7 Equations in Quadratic Form

### Chapter 5: Functions and Relations

#### Section 5.1 The Rectangular Coordinate System and Graphing Utilities

#### Section 5.2 Circles

#### Section 5.3 Functions and Relations

#### Section 5.4 Linear Equations in Two Variables and Linear Functions

#### Section 5.5 Applications of Linear Equations and Modeling

### Chapter 6: Transformations and Analysis of Functions

#### Section 6.1 Transformations of Graphs

#### Section 6.2 Symmetry and Piecewise-Defined Functions

#### Section 6.3 Average Rate of Change, Difference Quotient, and Function Behavior

#### Section 6.4 Algebra of Functions and Function Composition

### Chapter 7: Polynomial Functions

#### Section 7.1 Quadratic Functions and Applications

#### Section 7.2 Introduction to Polynomial Functions

#### Section 7.3 Division of Polynomials and the Remainder and Factor Theorems

#### Section 7.4 Zeros of Polynomials

#### Section 7.5 Polynomial Inequalities and Applications

### Chapter 8: Rational Functions

#### Section 8.1 Introduction to Rational Functions

#### Section 8.2 Graphs of Rational Functions

#### Section 8.3 Rational Inequalities

#### Section 8.4 Variation

### Chapter 9: Exponential and Logarithmic Functions

#### Section 9.1 Inverse Functions

#### Section 9.2 Exponential Functions

#### Section 9.3 Logarithmic Functions

#### Section 9.4 Properties of Logarithms

#### Section 9.5 Exponential Equations and Applications

#### Section 9.6 Logarithmic Equations and Applications

#### Section 9.7 Modeling with Exponential and Logarithmic Functions

### Chapter 10: Systems of Equations and Inequalities

#### Section 10.1 Graphs of Systems of Linear Equations in Two Variables

#### Section 10.2 Systems of Linear Equations in Two Variables and Applications

#### Section 10.3 Systems of Linear Equations in Three Variables and Applications

#### Section 10.4 Partial Fraction Decomposition

#### Section 10.5 Systems of Nonlinear Equations in Two Variables

#### Section 10.6 Inequalities and Systems of Inequalities in Two Variables

#### Section 10.7 Linear Programming

### Chapter 11: Matrices and Determinants and Applications

#### Section 11.1 Solving Systems of Linear Equations Using Matrices

#### Section 11.2 Inconsistent Systems and Dependent Equations

#### Section 11.3 Operations on Matrices

#### Section 11.4 Inverse Matrices and Matrix Equations

#### Section 11.5 Determinants and Cramer's Rule

### Chapter 12 (Online): Analytic Geometry

### Chapter 13 (Online): Sequences, Series, Induction, and Probability

# 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.**

**Donna Gerken**

#### 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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