Student Solutions Manual for Elementary Algebra

<ol> <li><strong>Introduction to Modeling</strong> <ul> <li>1.1 Variables and Constants</li> <li>1.2 Scatterplots</li> <li>1.3 Exact Linear Relationships</li> <li>1.4 Approximate Linear Relationships <ul> <li>Taking It to the Lab: Climate Change Lab • Volume Lab • Linear Graphing Lab: Topic of Your Choice</li> </ul></li> </ul></li> <li><strong>Operations and Expressions</strong> <ul> <li>2.1 Expressions</li> <li>2.2 Operations with Fractions</li> <li>2.3 Absolute Value and Adding Real Numbers</li> <li>2.4 Change in a Quantity and Subtracting Real Numbers</li> <li>2.5 Ratios, Percents, and Multiplying and Dividing Real Numbers</li> <li>2.6 Exponents and Order of Operations <ul> <li>Taking It to the Lab: Climate Change Lab (continued from Chapter 1) • Stocks Lab</li> </ul></li> </ul></li> <li><strong>Using Slope To Graph Linear Equations</strong> <ul> <li>3.1 Graphing Equations of the Forms y = mx + |||em/em||| and x = a</li> <li>3.2 Graphing Linear Models; Unit Analysis</li> <li>3.3 Slope of a Line</li> <li>3.4 Using Slope to Graph Linear Equations</li> <li>3.5 Rate of Change <ul> <li>Taking It to the Lab: Climate Change Lab</li> </ul></li> </ul></li> <li><strong>Simplifying Expressions and Solving Equations</strong> <ul> <li>4.1 Simplifying Expressions</li> <li>4.2 Simplifying More Expressions</li> <li>4.3 Solving Linear Equations in One Variable</li> <li>4.4 Solving More Linear Equations in One Variable</li> <li>4.5 Comparing Expressions and Equations</li> <li>4.6 Formulas</li> </ul></li> <li><strong>Linear Equations in Two Variables and Linear Inequalities in One Variable</strong> <ul> <li>5.1 Graphing Linear Equations in Two Variables</li> <li>5.2 Finding Equations of Lines</li> <li>5.3 Finding Equations of Linear Models</li> <li>5.4 Using Equations of Linear Models to Make Estimates and Predictions</li> <li>5.5 Solving Linear Inequalities in One Variable <ul> <li>Taking It to the Lab: Climate Change Lab (continued from Chapter 3) • Rope Lab • Shadow Lab • Linear Lab: Topic of Your Choice</li> </ul></li> </ul></li> <li><strong>Systems of Linear Equations and Systems of Linear Inequalities</strong> <ul> <li>6.1 Using Graphs and Tables to Solve Systems</li> <li>6.2 Using Substitution to Solve Systems</li> <li>6.3 Using Elimination to Solve Systems</li> <li>6.4 Using Systems to Model Data</li> <li>6.5 Perimeter, Value, Interest, and Mixture Problems</li> <li>6.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities in Two Variables <ul> <li>Taking It to the Lab: Climate Change Lab (continued from Chapter 5)</li> </ul></li> </ul></li> <li><strong>Polynomials and Properties of Exponents</strong> <ul> <li>7.1 Graphing Quadratic Equations</li> <li>7.2 Quadratic Models</li> <li>7.3 Adding and Subtracting Polynomials</li> <li>7.4 Multiplying Polynomials</li> <li>7.5 Powers of Polynomials; Product of Binomial Conjugates</li> <li>7.6 Properties of Exponents</li> <li>7.7 Negative-Integer Exponents</li> <li>7.8 Dividing Polynomials <ul> <li>Taking It to the Lab: Climate Change Lab (continued from Chapter 6) • Projectile Lab</li> </ul></li> </ul></li> <li><strong>Factoring Polynomials and Solving Polynomial Equations</strong> <ul> <li>8.1 Factoring Trinomials of the Form x² + bx + c and Differences of Two Squares</li> <li>8.2 Factoring Out the GCF; Factoring by Grouping</li> <li>8.3 Factoring Trinomials of the Form ax² + bx + c</li> <li>8.4 Sums and Differences of Cubes; A Factoring Strategy</li> <li>8.5 Using Factoring to Solve Polynomial Equations</li> <li>8.6 Using Factoring to Make Predictions with Quadratic Models</li> </ul></li> <li><strong>Solving Quadratic Equations</strong> <ul> <li>9.1 Simplifying Radical Expressions</li> <li>9.2 Simplifying More Radical Expressions</li> <li>9.3 Solving Quadratic Equations by the Square Root Property; The Pythagorean Theorem</li> <li>9.4 Solving Quadratic Equations by Completing the Square</li> <li>9.5 Solving Quadratic Equations by the Quadratic Formula</li> <li>9.6 More Quadratic Models <ul> <li>Taking It to the Lab: Climate Change Lab (continued from Chapter 7) • Projectile Lab (continued from Chapter 7)</li> </ul></li> </ul></li> <li><strong>Rational Expressions and Equations</strong> <ul> <li>10.1 Simplifying Rational Expressions</li> <li>10.2 Multiplying and Dividing Rational Expressions; Converting Units</li> <li>10.3 Adding Rational Expressions</li> <li>10.4 Subtracting Rational Expressions</li> <li>10.5 Solving Rational Equations</li> <li>10.6 Proportions; Similar Triangles</li> <li>10.7 Variation</li> <li>10.8 Simplifying Complex Rational Expressions <ul> <li>Taking It to the Lab: Climate Change Lab (continued from Chapter 9) • Estimating π Lab</li> </ul></li> </ul></li> <li><strong>More Radical Expressions and Equations</strong> <ul> <li>11.1 Adding and Subtracting Radical Expressions</li> <li>11.2 Multiplying Radical Expressions</li> <li>11.3 Solving Square Root Equations</li> </ul></li> </ol> <h3>APPENDICES</h3> <ul> <li>A. Using A TI-83 or TI-84 Graphing Calculator</li> <li>B. Using StatCrunch</li> </ul>