Introductory Algebra Everyday Explorations

by Kaseberg, Alice

• ISBN13: 9780618918782
• ISBN10: 0618918787
• Edition: 4th
• Format: Hardcover
• Copyright: 2007-02-21
• Publisher: Brooks Cole

Summary

Alice Kaseberg's respected Introductory Algebra: Everyday Explorations, Fourth Edition, helps students build confidence in algebra. This text's popularity is attributable to the author's use of guided discovery, explorations, and problem solving, all of which help students learn new concepts and strengthen their skill retention. Known for an informal, interactive style that makes algebra more accessible to students while maintaining a high level of mathematical accuracy, Intermediate Algebra includes a host of teaching and learning tools that work together for maximum flexibility and a high student success rate. With the Fourth Edition, instructors have access to an Instructor's Annotated Edition that provides additional examples, as well as a robust Instructor's Resource Manual, algorithmic computerized testing, and an extensive online homework system.

Table of Contents

Algebraic Representations

Problem-Solving Steps and Strategies

Numeric Representations

Verbal Representations

Symbolic Representations

Visual Representations: Rectangular Coordinate Graphs

Operations with Real Numbers and Expressions

Addition and Subtraction with Integers

Multiplication and Division with Positive and Negative Numbers

Properties of Real Numbers Applied to Simplifying Algebraic Fractions and Adding Like Terms

Exponents and Order of Operations

Unit Analysis and Formulas

Inequalities, Intervals, and Line Graphs

Solving Equations and Inequalities in One Variable

Linear Equations in One and Two Variables

Solving Equations with Algebraic Notation

Solving Equations with Tables, Graphs, and Algebraic Notation

Solving Linear Equations with Variables on Both Sides of the Equation

Solving Linear Inequalities in One Variable

Formulas, Functions, Linear Equations, and Inequalities in Two Variables

Solving Formulas

Functions and Graphs

Linear Functions: Slope and Rate of Change

Linear Functions: Intercepts and Slope

Linear Equations

Inequalities in Two Variables

Ratios, Rates, and Proportional Reasoning

Ratios, Rates, and Percents

Proportions and Proportional Reasoning

Proportions in Similar Figures and Similar Triangles

Averages

Writing Equations from Word Problems with Quantity-Rate Tables

Systems of Equations and Inequalities

Solving Systems of Equations with Graphs

Setting Up Systems of Equations

Solving Systems of Equations by Substitution

Solving Systems of Equations by Elimination

Solving Systems of Equations in Three Variables

Solving Systems of Linear Inequalities by Graphing

Polynomial Expressions and Integer Exponents

Operations on Polynomials

Multiplication of Binomials and Special Products

Factoring Trinomials

Factoring Special Products and Greatest Common Factors

Exponents

Scientific Notation

Squares and Square Roots: Expressions and Equations

Pythagorean Theorem

Square Root Expressions and Properties and the Distance Formula

Solving Square Root Equations and Simplifying Expressions

Graphing and Solving Quadratic Equations

Solving Quadratic Equations by Taking the Square Root or by Factoring

Solving Quadratic Equations with the Quadratic Formula

Range, Box and Whisker Plots, and Standard Deviation

Rational Expressions and Equations

Rational Functions: Graphs and Applications

Simplifying Rational Expressions

Multiplication and Division of Rational Expressions

Finding the Common Denominator and Addition and Subtraction of Rational Expressions

Solving Rational Equations

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