Student Solutions Manual for Elementary Algebra for College Students

<ol> <li><strong>Real Numbers</strong> <ul> <li>1.1 Study Skills for Success in Mathematics</li> <li>1.2 Problem Solving</li> <li>1.3 Fractions</li> <li>1.4 The Real Number System</li> <li>1.5 Inequalities and Absolute Value <ul> <li>Mid-Chapter Test: Sections 1.1—1.5</li> </ul></li> <li>1.6 Addition of Real Numbers</li> <li>1.7 Subtraction of Real Numbers</li> <li>1.8 Multiplication and Division of Real Numbers</li> <li>1.9 Exponents, Parentheses, and the Order of Operations</li> <li>1.10 Properties of the Real Number System</li> </ul></li> <li><strong>Solving Linear Equations and Inequalities</strong> <ul> <li>2.1 Combining Like Terms</li> <li>2.2 The Addition Property of Equality</li> <li>2.3 The Multiplication Property of Equality</li> <li>2.4 Solving Linear Equations with a Variable on Only One Side of the Equation <ul> <li>Mid-Chapter Test: Sections 2.1—2.4</li> </ul></li> <li>2.5 Solving Linear Equations with the Variable on Both Sides of the Equation</li> <li>2.6 Formulas</li> <li>2.7 Ratios and Proportions</li> <li>2.8 Inequalities in One Variable</li> </ul></li> <li><strong>Applications of Algebra</strong> <ul> <li>3.1 Changing Application Problems into Equations</li> <li>3.2 Solving Application Problems <ul> <li>Mid-Chapter Test: Sections 3.1—3.2</li> </ul></li> <li>3.3 Geometric Problems</li> <li>3.4 Motion, Money, and Mixture Problems</li> </ul></li> <li><strong>Exponents and Polynomials</strong> <ul> <li>4.1 Exponents</li> <li>4.2 Negative Exponents</li> <li>4.3 Scientific Notation <ul> <li>Mid-Chapter Test: Sections 4.1—4.3</li> </ul></li> <li>4.4 Addition and Subtraction of Polynomials</li> <li>4.5 Multiplication of Polynomials</li> <li>4.6 Division of Polynomials</li> </ul></li> <li><strong>Factoring</strong> <ul> <li>5.1 Factoring a Monomial from a Polynomial</li> <li>5.2 Factoring by Grouping</li> <li>5.3 Factoring Trinomials of the Form ax² + bx + c, a = 1</li> <li>5.4 Factoring Trinomials of the Form ax² + bx + c, a ≠ 1 <ul> <li>Mid-Chapter Test: Sections 5.1—5.4</li> </ul></li> <li>5.5 Special Factoring Formulas and a General Review of Factoring</li> <li>5.6 Solving Quadratic Equations Using Factoring</li> <li>5.7 Applications of Quadratic Equations</li> </ul></li> <li><strong>Rational Expressions and Equations</strong> <ul> <li>6.1 Simplifying Rational Expressions</li> <li>6.2 Multiplication and Division of Rational Expressions</li> <li>6.3 Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator</li> <li>6.4 Addition and Subtraction of Rational Expressions <ul> <li>Mid-Chapter Test: Sections 6.1—6.4</li> </ul></li> <li>6.5 Complex Fractions</li> <li>6.6 Solving Rational Equations</li> <li>6.7 Rational Equations: Applications and Problem Solving</li> <li>6.8 Variation</li> </ul></li> <li><strong>Graphing Linear Equations</strong> <ul> <li>7.1 The Cartesian Coordinate System and Linear Equations in Two Variables</li> <li>7.2 Graphing Linear Equations</li> <li>7.3 Slope of a Line <ul> <li>Mid-Chapter Test: Sections 7.1—7.3</li> </ul></li> <li>7.4 Slope-Intercept and Point-Slope Forms of a Linear Equation</li> <li>7.5 Graphing Linear Inequalities</li> <li>7.6 Functions</li> </ul></li> <li><strong>Systems of Linear Equations</strong> <ul> <li>8.1 Solving Systems of Equations Graphically</li> <li>8.2 Solving Systems of Equations by Substitution</li> <li>8.3 Solving Systems of Equations by the Addition Method <ul> <li>Mid-Chapter Test: Sections 8.1—8.3</li> </ul></li> <li>8.4 Systems of Equations: Applications and Problem Solving</li> <li>8.5 Solving Systems of Linear Inequalities</li> </ul></li> <li><strong>Roots and Radicals</strong> <ul> <li>9.1 Evaluating Square Roots</li> <li>9.2 Simplifying Square Roots</li> <li>9.3 Adding, Subtracting, and Multiplying Square Roots</li> <li>9.4 Dividing Square Roots <ul> <li>Mid-Chapter Test: Sections 9.1—9.4</li> </ul></li> <li>9.5 Solving Radical Equations</li> <li>9.6 Radicals: Applications and Problem Solving</li> <li>9.7 Higher Roots and Rational Exponents</li> </ul></li> <li><strong>Quadratic Equations</strong> <ul> <li>10.1 The Square Root Property</li> <li>10.2 Solving Quadratic Equations by Completing the Square</li> <li>10.3 Solving Quadratic Equations by the Quadratic Formula <ul> <li>Mid-Chapter Test: Sections 10.1—10.3</li> </ul></li> <li>10.4 Graphing Quadratic Equations</li> <li>10.5 Complex Numbers</li> </ul></li> </ol> <h3>Appendices</h3> <ul> <li>A. Review of Decimals and Percent</li> <li>B. Geometry</li> </ul>