Introductory and Intermediate Algebra for College Students, 6th edition

  • Robert F. Blitzer

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Introductory and Intermediate Algebra for College Students draws applications from topics in popular culture, the news, and everyday life to explore mathematical concepts.

Published by Pearson (March 17th 2021) - Copyright © 2021

ISBN-13: 9780136880462

Subject: Developmental Math

Category: Beginning & Intermediate Algebra Combined

Table of contents

  1. Variables, Real Numbers, and Mathematical Models
    • 1.1 Introduction to Algebra: Variables and Mathematical Models
    • 1.2 Fractions in Algebra
    • 1.3 The Real Numbers
    • 1.4 Basic Rules of Algebra
    • Mid-Chapter Check Point
    • 1.5 Addition of Real Numbers
    • 1.6 Subtraction of Real Numbers
    • 1.7 Multiplication and Division of Real Numbers
    • 1.8 Exponents and Order of Operations
  2. Linear Equations and Inequalities in One Variable
    • 2.1 The Addition Property of Equality
    • 2.2 The Multiplication Property of Equality
    • 2.3 Solving Linear Equations
    • 2.4 Formulas and Percents
    • Mid-Chapter Check Point
    • 2.5 An Introduction to Problem Solving
    • 2.6 Problem Solving in Geometry
    • 2.7 Solving Linear Inequalities
  3. Linear Equations in Two Variables
    • 3.1 Graphing Linear Equations in Two Variables
    • 3.2 Graphing Linear Equations Using Intercepts
    • 3.3 Slope
    • 3.4 The Slope-Intercept Form of the Equation of a Line
    • Mid-Chapter Check Point
    • 3.5 The Point-Slope Form of the Equation of a Line
  4. Systems of Linear Equations
    • 4.1 Solving Systems of Linear Equations by Graphing
    • 4.2 Solving Systems of Linear Equations by the Substitution Method
    • 4.3 Solving Systems of Linear Equations by the Addition Method
    • Mid-Chapter Check Point
    • 4.4 Problem Solving Using Systems of Equations
    • 4.5 Systems of Linear Equations in Three Variables
  5. Exponents and Polynomials
    • 5.1 Adding and Subtracting Polynomials
    • 5.2 Multiplying Polynomials
    • 5.3 Special Products
    • 5.4 Polynomials in Several Variables
    • Mid-Chapter Check Point
    • 5.5 Dividing Polynomials
    • 5.6 Long Division of Polynomials; Synthetic Division
    • 5.7 Negative Exponents and Scientific Notation
  6. Factoring Polynomials
    • 6.1 The Greatest Common Factor and Factoring by Grouping
    • 6.2 Factoring Trinomials Whose Leading Coefficient is 1
    • 6.3 Factoring Trinomials Whose Leading Coefficient is Not 1
    • Mid-Chapter Check Point
    • 6.4 Factoring Special Forms
    • 6.5 A General Factoring Strategy
    • 6.6 Solving Quadratic Equations by Factoring
  7. Rational Expressions
    • 7.1 Rational Expressions and Their Simplification
    • 7.2 Multiplying and Dividing Rational Expressions
    • 7.3 Adding and Subtracting Rational Expressions with the Same Denominator
    • 7.4 Adding and Subtracting Rational Expressions with Different Denominators
    • Mid-Chapter Check Point
    • 7.5 Complex Rational Expressions
    • 7.6 Solving Rational Equations
    • 7.7 Applications Using Rational Equations and Proportions
    • 7.8 Modeling Using Variation
  8. Basics of Functions
    • 8.1 Introduction to Functions
    • 8.2 Graphs of Functions
    • 8.3 The Algebra of Functions
    • Mid-Chapter Check Point
    • 8.4 Composite and Inverse Functions
  9. Inequalities and Problem Solving
    • 9.1 Reviewing Linear Inequalities and Using Inequalities in Business Applications
    • 9.2 Compound Inequalities
    • 9.3 Equations and Inequalities Involving Absolute Value
    • Mid-Chapter Check Point
    • 9.4 Linear Inequalities in Two Variables
  10. Radicals, Radical Functions, and Rational Exponents
    • 10.1 Radical Expressions and Functions
    • 10.2 Rational Exponents
    • 10.3 Multiplying and Simplifying Radical Expressions
    • 10.4 Adding, Subtracting, and Dividing Radical Expressions
    • Mid-Chapter Check Point
    • 10.5 Multiplying with More Than One Term and Rationalizing Denominators
    • 10.6 Radical Equations
    • 10.7 Complex Numbers
  11. Quadratic Equations and Functions
    • 11.1 The Square Root Property and Completing the Square; Distance and Midpoint Formula
    • 11.2 The Quadratic Formula
    • 11.3 Quadratic Functions and Their Graphs
    • Mid-Chapter Check Point
    • 11.4 Equations Quadratic in Form
    • 11.5 Polynomial and Rational Inequalities
  12. Exponential and Logarithmic Functions
    • 12.1 Exponential Functions
    • 12.2 Logarithmic Functions
    • 12.3 Properties of Logarithms
    • Mid-Chapter Check Point
    • 12.4 Exponential and Logarithmic Equations
    • 12.5 Exponential Growth and Decay; Modeling Data
  13. Conic Sections and Systems of Nonlinear Equations
    • 13.1 The Circle
    • 13.2 The Ellipse
    • 13.3 The Hyperbola
    • Mid-Chapter Check Point
    • 13.4 The Parabola; Identifying Conic Sections
    • 13.5 Systems of Nonlinear Equations in Two Variables
  14. Sequences, Series, and the Binomial Theorem
    • 14.1 Sequences and Summation Notation
    • 14.2 Arithmetic Sequences
    • 14.3 Geometric Sequences
    • Mid-Chapter Check Point
    • 14.4 The Binomial Theorem

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