Student Solutions Manual for Beginning Algebra

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January 28, 2010


Mixed media product, 304 pages


0077300688 / 9780077300685


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Main description

The Student’s Solutions Manual provides comprehensive, worked-out solutions to the odd-numbered exercises in the Practice Exercise sets; the Problem Recognition Exercises, the end-of-chapter Review Exercises, Answers to the odd-and even-numbered entries to the Chapter Opener Puzzles are also provided.

Table of contents

Chapter RStudy Tips

Chapter 1Set of Real Numbers
Section 1.1Fractions
Section 1.2Sets of Numbers and the Real Number Line
Section1.3Exponents, Square Roots, and the Order of Operations
Section1.4Addition of Real Numbers
Section1.5Subtraction of Real Numbers
Problem Recognition Exercises: Addition and Subtraction of Real Numbers
Section1.6Multiplication and Division of Real Numbers
Section1.7Properties of Real Numbers and Simplifying Expressions
Group Activity: Evaluating Formulas Using a Calculator
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Test

Chapter 2Linear Equations and Inequalities
Section2.1Addition, Subtraction, Multiplication, and Division Properties of Equality
Section2.2Solving Linear Equations
Section2.3Linear Equations: Clearing Fractions and Decimals
Problem Recognition Exercises: Equations and Expressions
Section2.4Applications of Linear Equations: Introduction to Problem Solving
Section2.5Applications Involving Percents
Section2.6Formulas and Applications of Geometry
Section2.7Mixture Applications and Uniform Motion
Section2.8Linear Inequalities
Group Activity: Computing Body Mass Index (BMI)
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Test
Chapters 1-2 Cumulative Review Exercises

Chapter 3Graphing Linear Equations in Two Variables
Section3.1Rectangular Coordinate System
Section3.2Linear Equations in Two Variables
Section3.3Slope of a Line and Rate of Change
Section3.4Slope-Intercept Form of a Line
Problem Recognition Exercises: Linear Equations in Two Variables
Section3.5Point-Slope Formula
Section3.6Applications of Linear Equations and Modeling
Group Activity: Modeling a Linear Equation
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Test
Chapters 1-3 Cumulative Review Exercises

Chapter 4Systems of Linear Equations in Two Variables
Section4.1Solving Systems of Equations by the Graphing Method
Section4.2Solving Systems of Equations by the Substitution Method
Section4.3Solving Systems of Equations by the Addition Method
Problem Recognition Exercises: Systems of Equations
Section4.4Applications of Linear Equations in Two Variables
Section4.5Linear Inequalities in Two Variables and Systems of Linear Inequalities in Two Variables
Group Activity: Creating Linear Models from Data
Chapter 4 Summary Chapter 4 Review Exercises
Chapter 4 Test
Chapters 1-4 Cumulative Review Exercises

Chapter 5Polynomials and Properties of Exponents
Section5.1Exponents: Multiplying and Dividing Common Bases
Section5.2More Properties of Exponents
Section5.3Definitions of b^0 and b^-n
Section5.4Scientific Notation
Section5.5Addition and Subtraction of Polynomials
Section5.6Multiplication of Polynomials and Special Products
Section5.7Division of Polynomials
Problem Recognition Exercises: Operations on Polynomials
Group Activity: The Pythagorean Theorem and a Geometric “Proof”
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Test
Chapters 1-5 Cumulative Review Exercises

Chapter 6Factoring Polynomials
Section6.1Greatest Common Factor and Factoring by Grouping
Section6.2Factoring Trinomials of the Form x^2 + bx + c
Section6.3Factoring Trinomials: Trial-and-Error Method
Section6.4Factoring Trinomials: AC-Method
Section6.5Difference of Squares and Perfect Square Trinomials
Section6.6Sum and Difference of Cubes
Problem Recognition Exercises: Factoring Strategy
Section6.7Solving Equations Using the Zero Product Rule
Problem Recognition Exercises: Polynomial Expressions and Polynomial Equations
Section6.8Applications of Quadratic Equations
Group Activity: Building a Factoring Test
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Test
Chapters 1-6 Cumulative Review Exercises

Chapter 7Rational Expressions
Section 7.1Introduction to Rational Expressions
Section 7.2Multiplication and Division of Rational Expressions
Section 7.3Least Common Denominator
Section 7.4Addition and Subtraction of Rational Expressions
Problem Recognition Exercises: Operations on Rational Expressions
Section 7.5Complex Fractions
Section 7.6Rational Equations
Problem Recognition Exercises: Comparing Rational Equations and Rational Expressions
Section 7.7Applications of Rational Equations and Proportions
Section 7.8Variation
Group Activity: Computing Monthly Mortgage Payments
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Test
Chapters 1-7 Cumulative Review Exercises

Chapter 8Radicals
Section 8.1Introduction to Roots and Radicals
Section 8.2Simplifying Radicals
Section 8.3Addition and Subtraction of Radicals
Section 8.4Multiplication of Radicals
Section 8.5Division of Radicals and Rationalization
Problem Recognition Exercises: Operations on Radicals
Section 8.6Radical Equations
Section 8.7Rational Exponents
Group Activity: Approximating Square Roots
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Test
Chapters 1-8 Cumulative Review Exercises

Chapter 9Quadratic Equations, Complex Numbers, and Functions
Section 9.1The Square Root Property
Section 9.2Completing the Square
Section 9.3Quadratic Formula
Problem Recognition Exercises: Solving Different Types of Equations
Section 9.4Complex Numbers
Section 9.5Graphing Quadratic Equations
Section 9.6Introduction to Functions
Group Activity: Maximizing Volume
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Test
Chapters 1-9 Cumulative Review Exercises

Section A.1Decimals and Percents
Section A.2Mean, Median, and Mode
Section A.3Introduction to Geometry

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