Student Solutions Manual for Introductory Algebra

<ul> <li>Index of Activities</li> <li>Index of Animations</li> <li>Preface</li> <li>Index of Applications</li> <li><strong>Just-in-Time Review</strong> <ol> <li>All Factors of a Number</li> <li>Prime Factorizations</li> <li>Greatest Common Factor</li> <li>Least Common Multiple</li> <li>Equivalent Expressions and Fraction Notation</li> <li>Mixed Numerals</li> <li>Simplify Fraction Notation</li> <li>Multiply and Divide Fraction Notation</li> <li>Add and Subtract Fraction Notation</li> <li>Convert from Decimal Notation to Fraction Notation</li> <li>Add and Subtract Decimal Notation</li> <li>Multiply and Divide Decimal Notation</li> <li>Convert from Fraction Notation to Decimal Notation</li> <li>Rounding with Decimal Notation</li> <li>Convert Between Percent Notation and Decimal Notation</li> <li>Convert Between Percent Notation and Fraction Notation</li> <li>Exponential Notation</li> <li>Order of Operations</li> </ol></li> </ul> <ol> <li><strong>Introduction to Real Numbers and Algebraic Expressions</strong> <ul> <li>1.1 Introduction to Algebra</li> <li>1.2 The Real Numbers</li> <li>1.3 Addition of Real Numbers</li> <li>1.4 Subtraction of Real Numbers <ul> <li>Mid-Chapter Review</li> </ul></li> <li>1.5 Multiplication of Real Numbers</li> <li>1.6 Division of Real Numbers</li> <li>1.7 Properties of Real Numbers</li> <li>1.8 Simplifying Expressions; Order of Operations</li> <li>Summary and Review</li> <li>Test</li> </ul></li> <li><strong>Solving Equations and Inequalities</strong> <ul> <li>2.1 Solving Equations: The Addition Principle</li> <li>2.2 Solving Equations: The Multiplication Principle</li> <li>2.3 Using the Principles Together</li> <li>2.4 Formulas <ul> <li>Mid-Chapter Review</li> </ul></li> <li>2.5 Applications of Percent</li> <li>2.6 Applications and Problem Solving <ul> <li>Translating for Success</li> </ul></li> <li>2.7 Solving Inequalities</li> <li>2.8 Applications and Problem Solving with Inequalities</li> <li>Summary and Review</li> <li>Test</li> <li>Cumulative Review</li> </ul></li> <li><strong>Graphs of Linear Equations</strong> <ul> <li>3.1 Graphs and Applications of Linear Equations</li> <li>3.2 More with Graphing and Intercepts <ul> <li>Visualizing for Success</li> </ul></li> <li>3.3 Slope and Applications</li> <li>3.4 Equations of Lines <ul> <li>Mid-Chapter Review</li> </ul></li> <li>3.5 Graphing Using the Slope and y-Intercept</li> <li>3.6 Parallel Lines and Perpendicular Lines</li> <li>3.7 Graphing Inequalities in Two Variables</li> <li>Visualizing for Success</li> <li>Summary and Review</li> <li>Test</li> <li>Cumulative Review</li> </ul></li> <li><strong>Polynomials: Operations</strong> <ul> <li>4.1 Integers as Exponents</li> <li>4.2 Exponents and Scientific Notation</li> <li>4.3 Introduction to Polynomials</li> <li>4.4 Addition and Subtraction of Polynomials <ul> <li>Mid-Chapter Review</li> </ul></li> <li>4.5 Multiplication of Polynomials</li> <li>4.6 Special Products <ul> <li>Visualizing for Success</li> </ul></li> <li>4.7 Operations with Polynomials in Several Variables</li> <li>4.8 Division of Polynomials</li> <li>Summary and Review</li> <li>Test</li> <li>Cumulative Review</li> </ul></li> <li><strong>Polynomials: Factoring</strong> <ul> <li>5.1 Introduction to Factoring</li> <li>5.2 Factoring Trinomials of the Type x² + bx + c</li> <li>5.3 Factoring ax² + bx + c, a ≠ 1: The FOIL Method</li> <li>5.4 Factoring ax² + bx + c, a ≠ 1: The ac-Method <ul> <li>Mid-Chapter Review</li> </ul></li> <li>5.5 Factoring Trinomial Squares and Differences of Squares</li> <li>5.6 Factoring: A General Strategy</li> <li>5.7 Solving Quadratic Equations by Factoring</li> <li>5.8 Applications of Quadratic Equations</li> <li>Translating For Success</li> <li>Summary and Review</li> <li>Test</li> <li>Cumulative Review</li> </ul></li> <li><strong>Rational Expressions and Equations</strong> <ul> <li>6.1 Multiplying and Simplifying Rational Expressions</li> <li>6.2 Division and Reciprocals</li> <li>6.3 Least Common Multiples and Denominators</li> <li>6.4 Adding Rational Expressions</li> <li>6.5 Subtracting Rational Expressions <ul> <li>Mid-Chapter Review</li> </ul></li> <li>6.6 Complex Rational Expressions</li> <li>6.7 Solving Rational Equations</li> <li>6.8 Applications Using Rational Equations and Proportions <ul> <li>Translating for Success</li> </ul></li> <li>6.9 Direct Variation and Inverse Variation</li> <li>Summary and Review</li> <li>Test</li> <li>Cumulative Review</li> </ul></li> <li><strong>Systems of Equations</strong> <ul> <li>7.1 Systems of Equations in Two Variables</li> <li>7.2 The Substitution Method</li> <li>7.3 The Elimination Method <ul> <li>Mid-Chapter Review</li> </ul></li> <li>7.4 Applications and Problem Solving</li> <li>7.5 Applications with Motion</li> <li>Translating for Success</li> <li>Summary and Review</li> <li>Test</li> <li>Cumulative Review</li> </ul></li> <li><strong>Radical Expressions and Equations</strong> <ul> <li>8.1 Introduction to Radical Expressions</li> <li>8.2 Multiplying and Simplifying with Radical Expressions</li> <li>8.3 Quotients Involving Radical Expressions <ul> <li>Mid-Chapter Review</li> </ul></li> <li>8.4 Addition, Subtraction, and More Multiplication</li> <li>8.5 Radical Equations</li> <li>8.6 Applications with Right Triangles</li> <li>Translating for Success</li> <li>Summary and Review</li> <li>Test</li> <li>Cumulative Review</li> </ul></li> <li><strong>Quadratic Equations</strong> <ul> <li>9.1 Introduction to Quadratic Equations</li> <li>9.2 Solving Quadratic Equations by Completing the Square</li> <li>9.3 The Quadratic Formula <ul> <li>Mid-Chapter Review</li> </ul></li> <li>9.4 Formulas</li> <li>9.5 Applications and Problem Solving <ul> <li>Translating for Success</li> </ul></li> <li>9.6 Graphs of Quadratic Equations <ul> <li>Visualizing for Success</li> </ul></li> <li>9.7 Functions</li> <li>Summary and Review</li> <li>Test</li> <li>Cumulative Review</li> </ul></li> </ol> <h3>APPENDICES</h3> <ul> <li>A. Factoring Sums or Differences of Cubes</li> <li>B. Finding Equations of Lines: Point—Slope Equation</li> <li>C. Higher Roots</li> <li>D. Sets</li> <li>E. Mean, Median, and Mode</li> <li>F. Inequalities and Interval Notation</li> </ul> <ul> <li>Answers</li> <li>Guided Solutions</li> <li>Glossary</li> <li>Index</li> </ul>