Elementary and Intermediate Algebra, 4th edition

  • Tom Carson, 
  • Bill E. Jordan

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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

ISBN-13: 9780137523023

Subject: Developmental Math

Category: Combo: Elementary & Intermediate

Table of contents

1. 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

2. Solving Linear Equations and Inequalities
2.1 Equations, Formulas, and the Problem-Solving 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

3. 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

4. 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

5. 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

6. Factoring
6.1 Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials of the Form x2 + bx + c
6.3 Factoring Trinomials of the Form ax2 + 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

7. 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

8. 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

9. 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

10. 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

11. 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

12. 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
A. Mean, Median, and Mode
B. Arithmetic Sequences and Series
C. Geometric Sequences and Series
D. The Binomial Theorem
E. Synthetic Division
F. Solving Systems of Linear Equations Using Cramer's Rule

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