Description
Book SynopsisThe manual provides detailed solutions to the odd-numbered section-level exercises and to all margin, Relating Concepts, Summary, Chapter Review, Chapter Test, and Cumulative Review Exercises.
Table of ContentsTable of Contents
- R. Prealgebra Review
- R.1 Fractions
- R.2 Decimals and Percents
- Study Skills Using Your Math Text
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The Real Number System
- 1.1 Exponents, Order of Operations, and Inequality
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Study Skills Taking Lecture Notes
- 1.2 Variables, Expressions, and Equations
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Study Skills Reading Your Math Text
- 1.3 Real Numbers and the Number Line
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Study Skills Using Study Cards
- 1.4 Adding Real Numbers
- 1.5 Subtracting Real Numbers
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Study Skills Completing Your Homework
- 1.6 Multiplying and Dividing Real Numbers
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Summary Exercises Performing Operations with Real Numbers
- 1.7 Properties of Real Numbers
- 1.8 Simplifying Expressions
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Study Skills Reviewing a Chapter
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Equations, Inequalities, and Applications
- 2.1 The Addition Property of Equality
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Study Skills Managing Your Time
- 2.2 The Multiplication Property of Equality
- 2.3 More on Solving Linear Equations
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Study Skills Using Study Cards Revisited
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Summary Exercises Applying Methods for Solving Linear Equations
- 2.4 An Introduction to Applications of Linear Equations
- 2.5 Formulas and Additional Applications from Geometry
- 2.6 Ratio, Proportion, and Percent
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Summary Exercises Applying Problem-Solving Techniques
- 2.7 Solving Linear Inequalities
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Study Skills Taking Math Tests
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Graphs of Linear Equations and Inequalities in Two Variables
- 3.1 Linear Equations and Rectangular Coordinates
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Study Skills Analyzing Your Test Results
- 3.2 Graphing Linear Equations in Two Variables
- 3.3 The Slope of a Line
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Study Skills Preparing for Your Math Final Exam
- 3.4 Slope-Intercept Form of a Linear Equation
- 3.5 Point-Slope Form of a Linear Equation and Modeling
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Summary Exercises Applying Graphing and
- Equation-Writing Techniques for Lines
- 3.6 Graphing Linear Inequalities in Two Variables
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Systems of Linear Equations and Inequalities
- 4.1 Solving Systems of Linear Equations by Graphing
- 4.2 Solving Systems of Linear Equations by Substitution
- 4.3 Solving Systems of Linear Equations by Elimination
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Summary Exercises Applying Techniques for Solving Systems of Linear Equations
- 4.4 Applications of Linear Systems
- 4.5 Solving Systems of Linear Inequalities
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Exponents and Polynomials
- 5.1 The Product Rule and Power Rules for Exponents
- 5.2 Integer Exponents and the Quotient Rule
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Summary Exercises Applying the Rules for Exponents
- 5.3 An Application of Exponents: Scientific Notation
- 5.4 Adding and Subtracting Polynomials
- 5.5 Multiplying Polynomials
- 5.6 Special Products
- 5.7 Dividing a Polynomial by a Monomial
- 5.8 Dividing a Polynomial by a Polynomial
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Factoring and Applications
- 6.1 Greatest Common Factors; Factor by Grouping
- 6.2 Factoring Trinomials
- 6.3 Factoring Trinomials by Grouping
- 6.4 Factoring Trinomials Using the FOIL Method
- 6.5 Special Factoring Techniques
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Summary Exercises Recognizing and Applying Factoring Strategies
- 6.6 Solving Quadratic Equations Using the Zero-Factor Property
- 6.7 Applications of Quadratic Equations
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Rational Expressions and Applications
- 7.1 The Fundamental Property of Rational Expressions
- 7.2 Multiplying and Dividing Rational Expressions
- 7.3 Least Common Denominators
- 7.4 Adding and Subtracting Rational Expressions
- 7.5 Complex Fractions
- 7.6 Solving Equations with Rational Expressions
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Summary Exercises Simplifying Rational Expressions vs. Solving Rational Equations
- 7.7 Applications of Rational Expressions
- 7.8 Variation
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Roots and Radicals
- 8.1 Evaluating Roots
- 8.2 Multiplying, Dividing, and Simplifying Radicals
- 8.3 Adding and Subtracting Radicals
- 8.4 Rationalizing the Denominator
- 8.5 More Simplifying and Operations with Radicals
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Summary Exercises Applying Operations with Radicals
- 8.6 Solving Equations with Radicals
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Quadratic Equations
- 9.1 Solving Quadratic Equations by the Square Root Property
- 9.2 Solving Quadratic Equations by Completing the Square
- 9.3 Solving Quadratic Equations by the Quadratic Formula
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Summary Exercises Applying Methods for Solving Quadratic Equations
- 9.4 Graphing Quadratic Equations
- 9.5 Introduction to Functions
Appendix: Factoring Sums and Differences of Cubes