Elementary and Intermediate Algebra, 4th edition
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Overview
Elementary and Intermediate Algebra in the Carson Algebra Series guides you to success by presenting the why behind understanding algebra. This text walks you through concepts, explaining not only how to do the math, but also where the concepts come from and why they work to help you foster conceptual understanding.
Published by Pearson (July 14th 2021)  Copyright © 2015
ISBN13: 9780137523023
Subject: Developmental Math
Category: Beginning & Intermediate Algebra Combined
Table of contents
Table of Contents
 Foundations of Algebra
 1.1 Number Sets and the Structure of Algebra
 1.2 Fractions
 1.3 Adding and Subtracting Real Numbers; Properties of Real Numbers
 1.4 Multiplying and Dividing Real Numbers; Properties of Real Numbers
 1.5 Exponents, Roots, and Order of Operations
 1.6 Translating Word Phrases to Expressions
 1.7 Evaluating and Rewriting Expressions
 Solving Linear Equations and Inequalities
 2.1 Equations, Formulas, and the ProblemSolving Process
 2.2 The Addition Principle of Equality
 2.3 The Multiplication Principle of Equality
 2.4 Applying the Principles to Formulas
 2.5 Translating Word Sentences to Equations
 2.6 Ratios and Proportions
 2.7 Percents
 2.8 Solving Linear Inequalities
 Graphing Linear Equations and Inequalities
 3.1 The Rectangular Coordinate System
 3.2 Graphing Linear Equations
 3.3 Graphing Using Intercepts
 3.4 Slope–Intercept Form
 3.5 Point–Slope Form
 3.6 Graphing Linear Inequalities
 3.7 Introduction to Functions and Function Notation
 Systems of Linear Equations and Inequalities
 4.1 Solving Systems of Linear Equations Graphically
 4.2 Solving Systems of Linear Equations by Substitution; Applications
 4.3 Solving Systems of Linear Equations by Elimination; Applications
 4.4 Solving Systems of Linear Equations in Three Variables; Applications
 4.5 Solving Systems of Linear Equations Using Matrices
 4.6 Solving Systems of Linear Inequalities
 Polynomials
 5.1 Exponents and Scientific Notation
 5.2 Introduction to Polynomials
 5.3 Adding and Subtracting Polynomials
 5.4 Exponent Rules and Multiplying Monomials
 5.5 Multiplying Polynomials; Special Products
 5.6 Exponent Rules and Dividing Polynomials
 Factoring
 6.1 Greatest Common Factor and Factoring by Grouping
 6.2 Factoring Trinomials of the Form x^{2} + bx + c
 6.3 Factoring Trinomials of the Form ax^{2} + bx + c, where a ≠ 1
 6.4 Factoring Special Products
 6.5 Strategies for Factoring
 6.6 Solving Quadratic Equations by Factoring
 6.7 Graphs of Quadratic Equations and Functions
 Rational Expressions and Equations
 7.1 Simplifying Rational Expressions
 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
 7.5 Complex Rational Expressions
 7.6 Solving Equations Containing Rational Expressions
 7.7 Applications with Rational Expressions, Including Variation
 More on Inequalities, Absolute Value, and Functions
 8.1 Compound Inequalities
 8.2 Equations Involving Absolute Value; Absolute Value Functions
 8.3 Inequalities Involving Absolute Value
 Rational Exponents, Radicals, and Complex Numbers
 9.1 Radical Expressions and Functions
 9.2 Rational Exponents
 9.3 Multiplying, Dividing, and Simplifying Radicals
 9.4 Adding, Subtracting, and Multiplying Radical Expressions
 9.5 Rationalizing Numerators and Denominators of Radical Expressions
 9.6 Radical Equations and Problem Solving
 9.7 Complex Numbers
 Quadratic Equations and Functions
 10.1 The Square Root Principle and Completing the Square
 10.2 Solving Quadratic Equations Using the Quadratic Formula
 10.3 Solving Equations That Are Quadratic in Form
 10.4 Graphing Quadratic Functions
 10.5 Solving Nonlinear Inequalities
 10.6 Function Operations
 Exponential and Logarithmic Functions
 11.1 Composite and Inverse Functions
 11.2 Exponential Functions
 11.3 Logarithmic Functions
 11.4 Properties of Logarithms
 11.5 Common and Natural Logarithms
 11.6 Exponential and Logarithmic Equations with Applications
 Conic Sections
 12.1 Parabolas and Circles
 12.2 Ellipses and Hyperbolas
 12.3 Nonlinear Systems of Equations
 12.4 Nonlinear Inequalities and Systems of Inequalities
 R. Elementary Algebra Review
Appendices
 Mean, Median, and Mode
 Arithmetic Sequences and Series
 Geometric Sequences and Series
 The Binomial Theorem
 Synthetic Division
 Solving Systems of Linear Equations Using Cramer’s Rule
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