# College Algebra Essentials

**by**Blitzer, Robert F.

### 9780321577818

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## Summary

## Author Biography

**Bob Blitzer** is a native of Manhattan and received a Bachelor of Arts degree with dual majors in mathematics and psychology (minor: English literature) from the City College of New York. His unusual combination of academic interests led him toward a Master of Arts in mathematics from the University of Miami and a doctorate in behavioral sciences from Nova University. Bob is most energized by teaching mathematics and has taught a variety of mathematics courses at Miami-Dade College for nearly 30 years. He has received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College, and was among the first group of recipients at Miami-Dade College for an endowed chair based on excellence in the classroom. Bob has written *Intermediate Algebra for College Students, Introductory Algebra for College Students, Essentials of Intermediate Algebra for College Students, Introductory and Intermediate Algebra for College Students, Essentials of Introductory and Intermediate Algebra for College Students, Algebra for College Students, Thinking Mathematically, College Algebra, Algebra and Trigonometry*, and *Precalculus*, all published by Pearson Prentice Hall.

## Table of Contents

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Prerequisites: Fundamental Concepts of Algebra | |

P.1 Algebraic Expressions, Mathematical Models, and Real Numbers | |

Evaluate algebraic expressions | |

Use mathematical models | |

Find the intersection of two sets | |

Find the union of two sets | |

Recognize subsets of the real numbers | |

Use inequality symbols | |

Evaluate absolute value | |

Use absolute value to express distance | |

Identify properties of the real numbers | |

Simplify algebraic expressions | |

P.2 Exponents and Scientific Notation | |

Use the product rule | |

Use the quotient rule | |

Use the zero-exponent rule | |

Use the negative-exponent rule | |

Use the power rule | |

Find the power of a product | |

Find the power of a quotient | |

Simplify exponential expressions | |

Use scientific notation | |

P.3 Radicals and Rational Exponents | |

Evaluate square roots | |

Simplify expressions of the form?a2 | |

Use the product rule to simplify square roots | |

Use the quotient rule to simplify square roots | |

Add and subtract square roots | |

Rationalize denominators | |

Evaluate and perform operations with higher roots | |

Understand and use rational exponents | |

P.4 Polynomials | |

Table of Contents provided by Publisher. All Rights Reserved. |