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College Algebra Plus Integrated Review

College Algebra Plus Integrated Review targets specific remediation needs for just-in-time supplementation of foundational concepts in college algebra. This integrated course enhances curriculum-level math with applicable review skills to shorten the prerequisite sequence without compromising competency.

Updates to the new edition include more robust content; contextualized review lessons; and an updated Guided Notebook with Strategies for Academic Success, Math@Work projects, and video enhancements.

Formats: Software, Guided Notebook, eBook

Product ISBN
Software + eBook 978-1-64277-286-9
Guided Notebook 978-1-64277-304-0
Software + eBook + Guided Notebook 978-1-64277-338-5

Table of Contents

  1. 0. Strategies for Academic Success
    1. 0.1 How to Read a Math Textbook
    2. 0.2 Tips for Success in a Math Course
    3. 0.3 Tips for Improving Math Test Scores
    4. 0.4 Practice, Patience, and Persistence!
    5. 0.5 Note Taking
    6. 0.6 Do I Need a Math Tutor?
    7. 0.7 Tips for Improving Your Memory
    8. 0.8 Overcoming Anxiety
    9. 0.9 Online Resources
    10. 0.10 Preparing for a Final Math Exam
    11. 0.11 Managing Your Time Effectively
  2. 1.R. Integrated Review
    1. 1.R.1 Exponents, Prime Numbers, and LCM
    2. 1.R.2 Multiplication and Division with Fractions
    3. 1.R.3 Addition and Subtraction with Fractions
    4. 1.R.4 Proportions
    5. 1.R.5 Decimals, Fractions, and Percents
  3. 1. Fundamental Concepts of Algebra
    1. 1.1 Real Numbers
    2. 1.2 The Arithmetic of Algebraic Expressions
    3. 1.3 Properties of Exponents
    4. 1.4 Properties of Radicals
    5. 1.5 Polynomials
    6. 1.6 Factoring Polynomials
    7. 1.7 Rational Expressions
    8. 1.8 Complex Numbers
    9. Chapter 1 Review
  4. 2.R. Integrated Review
    1. 2.R.1 The Real Number Line and Absolute Value
    2. 2.R.2 Addition with Real Numbers
    3. 2.R.3 Subtraction with Real Numbers
    4. 2.R.4 Multiplication and Division with Real Numbers
  5. 2. Equations and Inequalities in One Variable
    1. 2.1 Linear Equations in One Variable
    2. 2.2 Linear Inequalities in One Variable
    3. 2.3 Quadratic Equations in One Variable
    4. 2.4 Polynomial and Polynomial-Like Equations in One Variable
    5. 2.5 Rational Equations in One Variable
    6. 2.6 Radical Equations in One Variable
    7. Chapter 2 Review
  6. 3.R. Integrated Review
    1. 3.R.1 Formulas in Geometry
    2. 3.R.2 Square Roots and the Pythagorean Theorem
    3. 3.R.3 Evaluating Radicals
    4. 3.R.4 Simplifying Radicals
    5. 3.R.5 Introduction to the Cartesian Coordinate System
    6. 3.R.6 Solving Linear Equations: ax + b = c
    7. 3.R.7 Solving Linear Equations: ax + b = cx + d
    8. 3.R.8 Solving Linear Inequalities in One Variable
    9. 3.R.9 Solving Radical Equations
  7. 3. Equations and Inequalities in Two Variables
    1. 3.1 The Cartesian Coordinate System
    2. 3.2 Circles
    3. 3.3 Linear Equations in Two Variables
    4. 3.4 Slope and Forms of Linear Equations
    5. 3.5 Parallel and Perpendicular Lines
    6. 3.6 Linear Inequalities in Two Variables
    7. Chapter 3 Review
  8. 4.R. Integrated Review
    1. 4.R.1 Introduction to Functions and Function Notation
    2. 4.R.2 Translating English Phrases and Algebraic Expressions
    3. 4.R.3 Applications: Number Problems and Consecutive Integers
    4. 4.R.4 Greatest Common Factor (GCF) and Factoring by Grouping
    5. 4.R.5 Factoring Trinomials: x^2 + bx + c
    6. 4.R.6 Factoring Trinomials: ax^2 + bx + c
    7. 4.R.7 Review of Factoring Techniques
    8. 4.R.8 Solving Quadratic Equations by Factoring
    9. 4.R.9 Multiplication and Division with Complex Numbers
    10. 4.R.10 Quadratic Equations: The Quadratic Formula
  9. 4. Relations, Functions, and Their Graphs
    1. 4.1 Relations and Functions
    2. 4.2 Linear Functions
    3. 4.3 Quadratic Functions
    4. 4.4 Other Common Functions
    5. 4.5 Variation and Multivariable Functions
    6. 4.6 Mathematical Models
    7. Chapter 4 Review
  10. 5.R. Integrated Review
    1. 5.R.1 Order of Operations with Real Numbers
    2. 5.R.2 Simplifying and Evaluating Algebraic Expressions
    3. 5.R.3 Multiplication with Polynomials
    4. 5.R.4 Division with Polynomials
    5. 5.R.5 Introduction to Rational Expressions
    6. 5.R.6 Multiplication and Division with Rational Expressions
    7. 5.R.7 Simplifying Complex Fractions
  11. 5. Working with Functions
    1. 5.1 Transformations of Functions
    2. 5.2 Properties of Functions
    3. 5.3 Combining Functions
    4. 5.4 Inverses of Functions
    5. Chapter 5 Review
  12. 6. Polynomial and Rational Functions
    1. 6.1 Polynomial Functions and Polynomial Inequalities
    2. 6.2 Polynomial Division and the Division Algorithm
    3. 6.3 Locating Real Zeros of Polynomial Functions
    4. 6.4 The Fundamental Theorem of Algebra
    5. 6.5 Rational Functions and Rational Inequalities
    6. Chapter 6 Review
  13. 7.R. Integrated Review
    1. 7.R.1 Rules for Exponents
    2. 7.R.2 Power Rules for Exponents
    3. 7.R.3 Rational Exponents
    4. 7.R.4 Introduction to Logarithmic Functions
  14. 7. Exponential and Logarithmic Functions
    1. 7.1 Exponential Functions and Their Graphs
    2. 7.2 Exponential Models
    3. 7.3 Logarithmic Functions and Their Graphs
    4. 7.4 Logarithmic Properties and Models
    5. 7.5 Exponential and Logarithmic Equations
    6. Chapter 7 Review
  15. 8.R. Integrated Review
    1. 8.R.1 Special Products of Binomials
    2. 8.R.2 Special Factoring Techniques
  16. 8. Conic Sections
    1. 8.1 Ellipses
    2. 8.2 Parabolas
    3. 8.3 Hyperbolas
    4. Chapter 8 Review
  17. 9.R. Integrated Review
    1. 9.R.1 Systems of Linear Equations: Solutions by Graphing
    2. 9.R.2 Systems of Linear Equations: Solutions by Substitution
    3. 9.R.3 Systems of Linear Equations: Solutions by Addition
    4. 9.R.4 Systems of Linear Inequalities
  18. 9. Systems of Equations and Inequalities
    1. 9.1 Solving Systems of Linear Equations by Substitution and Elimination
    2. 9.2 Matrix Notation and Gauss-Jordan Elimination
    3. 9.3 Determinants and Cramer's Rule
    4. 9.4 Basic Matrix Operations
    5. 9.5 Inverses of Matrices
    6. 9.6 Systems of Linear Inequalities and Linear Programming
    7. 9.7 Systems of Nonlinear Equations and Inequalities
    8. Chapter 9 Review
  19. 10. Sequences, Series, Combinatorics, and Probability
    1. 10.1 Sequences and Series
    2. 10.2 Arithmetic Sequences and Series
    3. 10.3 Geometric Sequences and Series
    4. 10.4 Mathematical Induction
    5. 10.5 Combinatorics
    6. 10.6 Probability
    7. Chapter 10 Review