Intermediate Algebra

Intermediate Algebra, 7th edition

  • Elayn Martin-Gay

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Overview

Intermediate Algebra focuses on what you need to know to succeed in mathematics. A clear writing style, step-by-step instructions, and helpful examples make it easy for you to follow along. As well, checks throughout the text ensure you have a strong conceptual understanding of the information presented before moving on.

Published by Pearson (July 14th 2021) - Copyright © 2017

ISBN-13: 9780137517329

Subject: Developmental Math

Category: Intermediate Algebra

Table of contents

1. Real Numbers and Algebraic Expressions
1.1 Study Skill Tips for Success in Mathematics
1.2 Algebraic Expressions and Sets of Numbers
1.3 Operations on Real Numbers and Order of Operations
Integrated Review: Algebraic Expressions and Operations on Whole Numbers
1.4 Properties of Real Numbers and Algebraic Expressions

2. Equations, Inequalities, and Problem Solving
2.1 Linear Equations in One Variable
2.2 An Introduction to Problem Solving
2.3 Formulas and Problem Solving
2.4 Linear Inequalities and Problem Solving
Integrated Review: Linear Equations and Inequalities
2.5 Compound Inequalities
2.6 Absolute Value Equations
2.7 Absolute Value Inequalities

3. Graphs and Functions
3.1 Graphing Equations
3.2 Introduction to Functions
3.3 Graphing Linear Functions
3.4 The Slope of a Line
3.5 Equations of Lines
Integrated Review: Linear Equations in Two Variables
3.6 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions
3.7 Graphing Linear Inequalities

4. Systems of Equations
4.1 Solving Systems of Linear Equations in Two Variables
4.2 Solving Systems of Linear Equations in Three Variables
4.3 Systems of Linear Equations and Problem Solving
Integrated Review: Systems of Linear Equations
4.4 Solving Systems of Equations by Matrices
4.5 Systems of Linear Inequalities

5. Exponents, Polynomials, and Polynomial Functions
5.1 Exponents and Scientific Notation
5.2 More Work with Exponents and Scientific Notation
5.3 Polynomials and Polynomial Functions
5.4 Multiplying Polynomials
5.5 The Greatest Common Factor and Factoring by Grouping
5.6 Factoring Trinomials
5.7 Factoring by Special Products
Integrated Review: Operations on Polynomials and Factoring Strategies
5.8 Solving Equations by Factoring and Problem Solving

6. Rational Expressions
6.1 Rational Functions and Multiplying and Dividing Rational Expressions
6.2 Adding and Subtracting Rational Expressions
6.3 Simplifying Complex Fractions
6.4 Dividing Polynomials: Long Division and Synthetic Division
6.5 Solving Equations Containing Rational Expressions
Integrated Review: Expressions and Equations Containing Rational Expressions
6.6 Rational Equations and Problem Solving
6.7 Variation and Problem Solving

7. Rational Exponents, Radicals, and Complex Numbers
7.1 Radicals and Radical Functions
7.2 Rational Exponents
7.3 Simplifying Radical Expressions
7.4 Adding, Subtracting, and Multiplying Radical Expressions
7.5 Rationalizing Denominators and Numerators of Radical Expressions
Integrated Review: Radicals and Rational Exponents
7.6 Radical Equations and Problem Solving
7.7 Complex Numbers

8. Quadratic Equations and Functions
8.1 Solving Quadratic Equations by Completing the Square
8.2 Solving Quadratic Equations by the Quadratic Formula
8.3 Solving Equations by Using Quadratic Methods
Integrated Review: Summary on Solving Quadratic Equations
8.4 Nonlinear Inequalities in One Variable
8.5 Quadratic Functions and Their Graphs
8.6 Further Graphing of Quadratic Functions

9. Exponential and Logarithmic Functions
9.1 The Algebra of Functions; Composite Functions
9.2 Inverse Functions
9.3 Exponential Functions
9.4 Exponential Growth and Decay Functions
9.5 Logarithmic Functions
9.6 Properties of Logarithms
Integrated Review: Functions and Properties of Logarithms
9.7 Common Logarithms, Natural Logarithms, and Change of Base
9.8 Exponential and Logarithmic Equations and Problem Solving

10. Conic Sections
10.1 The Parabola and the Circle
10.2 The Ellipse and the Hyperbola
Integrated Review: Graphing Conic Sections
10.3 Solving Nonlinear Systems of Equations
10.4 Nonlinear Inequalities and Systems of Inequalities

11. Sequences, Series, and the Binomial Theorem
11.1 Sequences
11.2 Arithmetic and Geometric Sequences
11.3 Series
Integrated Review: Sequences and Series
11.4 Partial Sums of Arithmetic and Geometric Sequences
11.5 The Binomial Theorem

Appendices
A. Geometry
B. Stretching and Compressing Graphs of Absolute Value Functions 
C. Solving Systems of Equations Using Determinants
D. An Introduction to Using a Graphing Utility 
Student Resources 
Study Skills Builders 
Bigger Picture: Study Guide Outline
Practice Final Exam

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