Here at Hawkes Learning, we’re excited about developing our new course offering, *College Algebra Plus Integrated Review*! Target specific remediation needs for just-in-time supplementation of foundational concepts in college algebra with these materials.

This new integrated course enhances curriculum-level math with applicable review skills to shorten the prerequisite sequence without compromising competency. If you teach a college algebra corequisite course, these materials are for you!

## Table of Contents:

### Chapter 0: Strategies for Academic Success

0.1 | How to Read a Math Textbook |

0.2 | Tips for Success in a Math Course |

0.3 | Tips for Improving Math Test Scores |

0.4 | Practice, Patience, and Persistence! |

0.5 | Note Taking |

0.6 | Do I Need a Math Tutor? |

0.7 | Tips for Improving Your Memory |

0.8 | Overcoming Anxiety |

0.9 | Online Resources |

0.10 | Preparing for a Final Math Exam |

0.11 | Managing Your Time Effectively |

### Chapter 1.R: Integrated Review

1.R.1 | Exponents, Prime Numbers, and LCM |

1.R.2 | Reducing Fraction to Lowest Terms |

1.R.3 | Decimals and Percents |

1.R.4 | Simplifying Radicals |

Chapter 1: Number Systems and Fundamental Concepts of Algebra

1.1 | The Real Number System |

1.2 | The Arithmetic of Algebraic Expressions |

1.3a | Properties of Exponents |

1.3b | Scientific Notation and Geometric Problems Using Exponents |

1.4a | Properties of Radicals |

1.4b | Rational Number Exponents |

1.5 | Polynomials and Factoring |

1.6 | The Complex Number System |

Chapter 1 Review | Chapter 1 Review |

### Chapter 2.R: Integrated Review

2.R.1 | Multiplication and Division with Fractions |

2.R.2 | Addition and Subtraction with Fractions |

2.R.3 | Applications: Number Problems and Consecutive Integers |

2.R.4 | Proportions |

### Chapter 2: Equations and Inequalities of One Variable

2.1a | Linear Equations in One Variable |

2.1b | Applications of Linear Equations in One Variable |

2.2 | Linear Inequalities in One Variable |

2.3 | Quadratic Equations in One Variable |

2.4 | Higher Degree Polynomial Equations |

2.5 | Rational Expressions and Equations |

2.6 | Radical Equations |

Chapter 2 Review | Chapter 2 Review |

### Chapter 3: Linear Equations and Inequalities of Two Variables

3.1 | The Cartesian Coordinate System |

3.2 | Linear Equations in Two Variables |

3.3 | Forms of Linear Equations |

3.4 | Parallel and Perpendicular Lines |

3.5 | Linear Inequalities in Two Variables |

3.6 | Introduction to Circles |

Chapter 3 Review | Chapter 3 Review |

### Chapter 4.R: Integrated Review

4.R.1 | Order of Operations with Real Numbers |

4.R.2 | Identifying Like Terms |

4.R.3 | Simplifying Expressions |

4.R.4 | Translating English Phrases and Algebraic Expressions |

### Chapter 4: Relations, Functions, and Their Graphs

4.1 | Relations and Functions |

4.2a | Linear and Quadratic Functions |

4.2b | Max/Min Applications of Quadratic Functions |

4.3a | Other Common Functions |

4.3b | Direct and Inverse Variation |

4.4 | Transformations of Functions |

4.5 | Combining Functions |

4.6 | Inverses of Functions |

Chapter 4 Review | Chapter 4 Review |

### Chapter 5.R: Integrated Review

5.R.1 | Greatest Common Factor (GCF) of a Set of Terms |

5.R.2 | Factoring Trinomials by Grouping |

5.R.3 | Review of Factoring Techniques |

### Chapter 5: Polynomial Functions

5.1 | Introduction to Polynomial Equations and Graphs |

5.2 | Polynomial Division and the Division Algorithm |

5.3 | Locating Real Zeros of Polynomials |

5.4 | The Fundamental Theorem of Algebra |

Chapter 5 Review | Chapter 5 Review |

### Chapter 6.R: Integrated Review

6.R.1 | Introduction to Rational Expressions |

6.R.2 | Special Products of Binomials |

6.R.3 | Special Factoring Techniques |

### Chapter 6: Rational Functions and Conic Sections

6.1a | Rational Functions |

6.1b | Rational Inequalities |

6.2 | The Ellipse |

6.3 | The Parabola |

6.4 | The Hyperbola |

Chapter 6 Review | Chapter 6 Review |

### Chapter 7.R: Integrated Review

7.R.1 | Rules for Exponents |

7.R.2 | Power Rules for Exponents |

7.R.3 | Rational Exponents |

### Chapter 7: Exponential and Logarithmic Functions

7.1 | Exponential Functions and Their Graphs |

7.2 | Applications of Exponential Functions |

7.3 | Logarithmic Functions and Their Graphs |

7.4 | Properties and Applications of Logarithms |

7.5 | Exponential and Logarithmic Equations |

Chapter 7 Review | Chapter 7 Review |

### Chapter 8.R: Integrated Review

8.R.1 | Systems of Linear Equations: Solutions by Graphing |

8.R.2 | Systems of Linear Inequalities |

### Chapter 8: Systems of Equations

8.1 | Solving Systems by Substitution and Elimination |

8.2 | Matrix Notation and Gaussian Elimination |

8.3 | Determinants and Cramer’s Rule |

8.4 | The Algebra of Matrices |

8.5 | Inverses of Matrices |

8.6 | Linear Programming |

8.7 | Nonlinear Systems of Equations |

Chapter 8 Review | Chapter 8 Review |

### Chapter 9: An Introduction to Sequences, Series, Combinatorics, and Probability

9.1 | Sequences and Series |

9.2 | Arithmetic Sequences and Series |

9.3 | Geometric Sequences and Series |

9.4 | Mathematical Induction |

9.5a | An Introduction to Combinatorics – Counting, Permutations, and Combinations |

9.5b | An Introduction to Combinatorics – The Binomial and Multinomial Theorems |

9.6 | An Introduction to Probability |

Chapter 9 Review | Chapter 9 Review |

### Appendix

A.1 | Introduction to Polynomial Equations and Graphs (excluding complex numbers) |

A.2 | Polynomial Division and the Division Algorithm (excluding complex numbers) |

A.3 | Locating Real Zeros of Polynomials (excluding complex numbers) |

A.4 | The Fundamental Theorem of Algebra (excluding complex numbers) |