Intermediate Algebra: Class Test Edition

by Bracken, Laura; Miller, Ed

• ISBN13: 9781111574109
• ISBN10: 1111574103
• Edition: 1st
• Format: Paperback
• Copyright: 2011-02-11
• Publisher: Brooks Cole

Summary

Intermediate Algebra offers a practical approach to the study of intermediate algebra concepts, consistent with the needs of today's student. The authors help students to develop a solid understanding of functions by revisiting key topics related to functions throughout the text. They put special emphasis on the worked examples in each section, treating them as the primary means of instruction, since students rely so heavily on examples to complete assignments. The applications are also uniquely designed so that students have an experience that is more true to life--students must read information as it appears in a "live" media source and extract only the relevant information needed to solve a stated problem. The unique pedagogy in the text focuses on promoting better study habits and critical thinking skills along with orienting students to think and reason mathematically. Through Intermediate Algebra, students will not only be better prepared for future math courses, they will be better prepared to solve problems and answer questions they encounter in their own lives.

Table of Contents

Fundamentals of Algebra

Sets and Numerical Expressions

Algebraic Expressions

Equations and Inequalities in One Variable

Scientific Notation and Unit Analysis

Applications and Problem Solving

Linear Equations in Two Variables

Linear Inequalities in Two Variables

Summary and Review

Test

Polynomials and Absolute Value

Adding, Subtracting, and Multiplying Polynomial Expressions

Factoring Polynomials

Factoring Trinomials

Polynomial Equations

Absolute Value Equations

Conjunctions, Disjunctions, and Absolute Value Inequalities

Summary and Review

Test

Relations and Functions

Relations and Functions

Linear and Constant Functions

Quadratic and Cubic Functions

Polynomial Models

Operations with Functions

Absolute Value Functions

Translation of Polynomial Functions

Summary and Review

Test

Cumulative Review Chapters 1-3

System of Linear Equations

Systems of Linear Equations

Algebraic Methods

Applications

Systems of Linear Equations in Three Variables

Matrix Methods

Systems of Linear Inequalities

Summary and Review

Test

Rational Expressions, Equations and Functions

Simplifying, Multiplying, and Dividing Rational Expressions

Adding and Subtracting Rational Expressions

Rational Equations in One Variable

Rational Functions

Variation

Division of Polynomials; Synthetic Division

Rational Inequalities

Summary and Review

Test

Radical Expressions, Equations and Functions

Introduction to Radicals

Adding, Subtracting, Multiplying and Simplifying Radical Expressions

Dividing Radical Expressions and Conjugates

Rational Exponents

Radical Equations

Radical Functions

Summary and Review

Test

Cumulative Review Chapters 4-6

Quadratic Expressions, Equations and Functions

Complex Numbers

Solving Quadratic Equations

Completing the Square

Quadratic Formula

Quadratic Functions

Vertex Form of a Quadratic Function

Quadratic Inequalities

Summary and Review

Test

Exponential and Logarithmic Expressions, Equations and Functions

Exponential Functions

Logarithmic Functions

Applications

Exponential Equations

Logarithmic Equations

Summary and Review

Test

Conic Sections Systems of Non-Linear Equations

Distance Formula, Midpoint Formula, and Circles

Ellipses

Parabolas

Hyperbolas

Systems of Non-Linear Equations in Two Variables

Summary and Review

Test

Cumulative Review Chapters 7-9

Sequences, Series and the Binomial Theorem

Sequences and Series

Arithmetic Sequences

Geometric Sequences

The Binomial Theorem

Summary and Review

Test

Solving Linear Equations in One Variable

Solving Inequalities in One Variable

Graphing Linear Equations

Slope and Slope-Intercept Form

Writing the Equation of a Line

Reasonability and Problem Solving

Determinants and Cramer's Rule

Developing the Equations of Conic Sections

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