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College Algebra, 8th edition

  • Robert F. Blitzer

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Overview

College Algebra is your guide to making algebra work for you. The text is designed to make math accessible. It applies algebra to a variety of relatable topics, thereby making the subject more engaging and useful in your everyday life.

Published by Pearson (October 6th 2021) - Copyright © 2022

ISBN-13: 9780136970514

Subject: Precalculus, College Algebra & Trigonometry

Category: College Algebra

Table of contents

P. Fundamental Concepts of Algebra

  • P.1 Algebraic Expressions, Mathematical Models, and Real Numbers
  • P.2 Exponents and Scientific Notation
  • P.3 Radicals and Rational Exponents
  • P.4 Polynomials
  • Mid-Chapter Check Point
  • P.5 Factoring Polynomials
  • P.6 Rational Expressions
  • Summary, Review, and Test
  • Review Exercises
  • Chapter P Test

1. Equations and Inequalities

  • 1.1 Graphs and Graphing Utilities
  • 1.2 Linear Equations and Rational Equations
  • 1.3 Models and Applications
  • 1.4 Complex Numbers
  • 1.5 Quadratic Equations
  • Mid-Chapter Check Point
  • 1.6 Other Types of Equations
  • 1.7 Linear Inequalities and Absolute Value Inequalities
  • Summary, Review, and Test
  • Review Exercises
  • Chapter 1 Test

2. Functions and Graphs

  • 2.1 Basics of Functions and Their Graphs
  • 2.2 More on Functions and Their Graphs
  • 2.3 Linear Functions and Slope
  • 2.4 More on Slope
  • Mid-Chapter Check Point
  • 2.5 Transformations of Functions
  • 2.6 Combinations of Functions; Composite Functions
  • 2.7 Inverse Functions
  • 2.8 Distance and Midpoint Formulas; Circles
  • Summary, Review, and Test
  • Review Exercises
  • Chapter 2 Test
  • Cumulative Review Exercises Chapters 1 - 2

3. Polynomial and Rational Functions

  • 3.1 Quadratic Functions
  • 3.2 Polynomial Functions and Their Graphs
  • 3.3 Dividing Polynomials; Remainder and Factor Theorems
  • 3.4 Zeros of Polynomial Functions
  • Mid-Chapter Check Point
  • 3.5 Rational Functions and Their Graphs
  • 3.6 Polynomial and Rational Inequalities
  • 3.7 Modeling Using Variation
  • Summary, Review, and Test
  • Review Exercises
  • Chapter 3 Test
  • Cumulative Review Exercises Chapters 1 - 3

4. Exponential and Logarithmic Functions

  • 4.1 Exponential Functions
  • 4.2 Logarithmic Functions
  • 4.3 Properties of Logarithms
  • Mid-Chapter Check Point
  • 4.4 Exponential and Logarithmic Equations
  • 4.5 Exponential Growth and Decay; Modeling Data
  • Summary, Review, and Test
  • Review Exercises
  • Chapter 4 Test
  • Cumulative Review Exercises Chapters 1 - 4

5. Systems of Equations and Inequalities

  • 5.1 Systems of Linear Equations in Two Variables
  • 5.2 Systems of Linear Equations in Three Variables
  • 5.3 Partial Fractions
  • 5.4 Systems of Nonlinear Equations in Two Variables
  • Mid-Chapter Check Point
  • 5.5 Systems of Inequalities
  • 5.6 Linear Programming
  • Summary, Review, and Test
  • Review Exercises
  • Chapter 5 Test
  • Cumulative Review Chapters 1 - 5

6. Matrices and Determinants

  • 6.1 Matrix Solutions to Linear Systems
  • 6.2 Inconsistent and Dependent Systems and Their Applications
  • 6.3 Matrix Operations and Their Applications
  • Mid-Chapter Check Point
  • 6.4 Multiplicative Inverses of Matrices and Matrix Equations
  • 6.5 Determinants and Cramer's Rule
  • Summary, Review, and Test
  • Review Exercises
  • Chapter 6 Test
  • Cumulative Review Chapters 1 - 6

7. Conic Sections

  • 7.1 The Ellipse
  • 7.2 The Hyperbola
  • Mid-Chapter Check Point
  • 7.3 The Parabola
  • Summary, Review, and Test
  • Review Exercises
  • Chapter 7 Test
  • Cumulative Review Chapters 1 - 7

8. Sequences, Induction, and Probability

  • 8.1 Sequences and Summation Notation
  • 8.2 Arithmetic Sequences
  • 8.3 Geometric Sequences and Series
  • Mid-Chapter Check Point
  • 8.4 Mathematical Induction
  • 8.5 The Binomial Theorem
  • 8.6 Counting Principles, Permutations, and Combinations
  • 8.7 Probability
  • Summary, Review, and Test
  • Review Exercises
  • Chapter 8 Test
  • Cumulative Review Chapters 1-8

Appendix: Where Did That Come From? Selected Proofs

Answers to Selected Exercises (Selected answers in Student Edition. In Annotated Instructor's Edition, the longer answers that don't fit next to exercises appear here.)
Subject Index
Credits

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