Loose Leaf Version for Intermediate Algebra

by Messersmith, Sherri

• ISBN13: 9780077431303
• ISBN10: 0077431308
• Edition: 1st
• Format: Loose-leaf
• Copyright: 2011-02-22
• Publisher: McGraw-Hill Education

Summary

Intermediate Algebra, 1e,authored by Sherri Messersmith presents content in bite-size pieces, focusing not only on learning mathematical concepts, but also explaining the why behind those concepts. For students, learning mathematics is not just about the memorization of concepts and formulas, but it is also about the journey of learning how to problem solve. By breaking the sections down into manageable chunks, the author has identified the core places where students traditionally struggle, and then assists them in understanding that material to be successful moving forward. Proven pedagogical features, such as You Try problems after each example, reinforce a student's mastery of a concept. While teaching in the classroom, Messersmith has created worksheets for each section that fall into three categories: review worksheets/basic skills, worksheets to teach new content, and worksheets to reinforce/pull together different concepts. These worksheets are a great way to both enhance instruction and to give the students more tools to be successful in studying a given topic. The author is also an extremely popular lecturer, and finds it important to be in the video series that accompany her texts. Finally, the author finds it important to not only provide quality, but also an abundant quantity of exercises and applications. The book is accompanied by numerous useful supplements, including McGraw-Hill's online homework management system, MathZone as well as ALEKS. MESSERSMITH is rigorous enough to prepare students for the next level yet easy to read and understand. The exposition is written as if a professor is teaching in a lecture to be more accessible to students. The language is mathematically sound yet easy enough for students to understand.

Table of Contents

1 The Real Number System and Geometry
1.1 Sets of Numbers
1.2 Operations on Real Numbers
1.3 Algebraic Expressions and Properties of Real Numbers

2 Linear Equations and Inequalities in One Variable
2.1 Solving Linear Equations in One Variable
2.2 Applications of Linear Equations
2.3 Geometry Applications and Solving Formulas
2.4 More Applications of Linear Equations
2.5 Linear Inequalities in One Variable
2.6 Compound Inequalities
2.7 Absolute Value Equations and Inequalities

3 Linear Equations in Two Variables and Functions
3.1 Introduction to Linear Equations in Two Variables
3.2 Slope of a Line and Slope-Intercept Form
3.3 Writing an Equation of a Line
3.4 Linear Inequalities in Two Variables
3.5 Introduction to Functions

4 Solving Systems of Linear Equations
4.1 Solving Systems of Linear Equations in Two Variables
4.2 Solving Systems of Linear Equations in Three Variables
4.3 Applications of Systems of Linear Equations
4.4 Solving Systems of Linear Equations Using Matrices

5 Polynomials and Polynomial Functions
5.1 The Rules of Exponents
5.2 More on Exponents and Scientific Notation
5.3 Addition and Subtraction of Polynomials and Graphing
5.4 Multiplication of Polynomials and Polynomial Functions
5.5 Division of Polynomials and Polynomial Functions

6 Factoring Polynomials
6.1 The Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials
6.3 Special Factoring Techniques Putting It All Together
6.4 Solving Quadratic Equations by Factoring
6.5 Applications of Quadratic Equations

7 Rational Expressions, Equations, and Functions
7.1 Simplifying, Multiplying, and Dividing Rational Expressions
7.2 Adding and Subtracting Rational Expressions
7.3 Simplifying Complex Fractions
7.4 Solving Rational Equations Putting It All Together
7.5 Applications of Rational Equations
7.6 Variation

8 Radicals and Rational Exponents
8.1 Radical Expressions and Functions
8.2 Rational Exponents
8.3 Simplifying Expressions Containing Square Roots
8.4 Simplifying Expressions Containing Higher Roots
8.5 Adding, Subtracting, and Multiplying Radicals
8.6 Dividing Radicals Putting It All Together
8.7 Solving Radical Equations
8.8 Complex Numbers

9 Quadratic Equations
9.1 The Square Root Property and Completing the Square
9.2 The Quadratic Formula Putting It All Together
9.3 Equations in Quadratic Form
9.4 Formulas and Applications
9.5 Quadratic Functions and Their Graphs
9.6 Applications of Quadratic Functions and Graphing Other Parabolas
9.7 Quadratic and Rational Inequalities

10 Inverse, Exponential, and Logarithmic Functions
10.1 Composite and Inverse Functions
10.2 Exponential Functions
10.3 Logarithmic Functions
10.4 Properties of Logarithms
10.5 Common and Natural Logarithms and Change of Base
10.6 Solving Exponential and Logarithmic Equations

11 Nonlinear Functions, Conic Sections, and Nonlinear Systems
11.1 Graphs of Other Useful Functions
11.2 The Distance Formula, Midpoint, and Circle
11.2 The Ellipse
11.3 The Hyperbola Putting It All Together
11.4 Nonlinear Systems of Equations
11.5 Second-Degree Inequalities and Systems of Inequalities
12 Sequences and Series (Online Only)
12.1 Sequences and Series
12.2 Arithmetic Sequences and Series
12.3 Geometric Sequences and Series
12.4 The Binomial Theorem

A Appendix
A.1 Geometry Review
A.2 Determinants and Cramer’s Rule
A.3 Graphing Polynomial Functions
A.4 Synthetic Division and the Remainder Theorem