Student Solutions Manual for Elementary & Intermediate Algebra

<div class="c-un-numbered-headers-and-contents-list__container"> <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 + b 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 (continued from Chapter 2) • Workout Lab • Balloon 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 Functions and Linear Inequalities in One Variable</strong> <ul> <li>5.1 Graphing Linear Equations</li> <li>5.2 Functions</li> <li>5.3 Function Notation</li> <li>5.4 Finding Linear Equations</li> <li>5.5 Finding Equations of Linear Models</li> <li>5.6 Using Function Notation with Linear Models to Make Estimates and Predictions</li> <li>5.7 Solving Linear Inequalities in One Variable <ul> <li>Taking It to the Lab: Climate Change Lab (continued from Chapter 3) • Golf Ball Lab • 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) • Sports Lab • Truck Lab</li> </ul></li> </ul></li> <li><strong>Polynomial Functions and Properties of Exponents</strong> <ul> <li>7.1 Adding and Subtracting Polynomial Expressions and Functions</li> <li>7.2 Multiplying Polynomial Expressions and Functions</li> <li>7.3 Powers of Polynomials; Product of Binomial Conjugates</li> <li>7.4 Properties of Exponents</li> <li>7.5 Dividing Polynomials: Long Division and Synthetic Division <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>Quadratic Functions</strong> <ul> <li>9.1 Graphing Quadratic Functions in Vertex Form</li> <li>9.2 Graphing Quadratic Functions in Standard Form</li> <li>9.3 Simplifying Radical Expressions</li> <li>9.4 Using the Square Root Property to Solve Quadratic Equations</li> <li>9.5 Solving Quadratic Equations by Completing the Square</li> <li>9.6 Using the Quadratic Formula to Solve Quadratic Equations</li> <li>9.7 Solving Systems of Linear Equations in Three Variables; Finding Quadratic Functions</li> <li>9.8 Finding Quadratic Models</li> <li>9.9 Modeling with Quadratic Functions <ul> <li>Taking It to the Lab: Climate Change Lab (continued from Chapter 7) • Projectile Lab (continued from Chapter 7) • Projectile Lab (Using a CBR or CBL) • Water Flow Lab • Quadratic Lab: Topic of Your Choice</li> </ul></li> </ul></li> <li><strong>Exponential Functions</strong> <ul> <li>10.1 Integer Exponents</li> <li>10.2 Rational Exponents</li> <li>10.3 Graphing Exponential Functions</li> <li>10.4 Finding Equations of Exponential Functions</li> <li>10.5 Using Exponential Functions to Model Data <ul> <li>Taking It to the Lab: Stringed Instrument Lab • Cooling Water Lab • Exponential Lab: Topic of Your Choice</li> </ul></li> </ul></li> <li><strong>Logarithmic Functions</strong> <ul> <li>11.1 Composite Functions</li> <li>11.2 Inverse Functions</li> <li>11.3 Logarithmic Functions</li> <li>11.4 Properties of Logarithms</li> <li>11.5 Using the Power Property with Exponential Models to Make Predictions</li> <li>11.6 More Properties of Logarithms</li> <li>11.7 Natural Logarithms <ul> <li>Taking It to the Lab: China and India Populations Lab • Folding Paper Lab • Exponential/Logarithmic Lab:</li> <li>Topic of Your Choice</li> </ul></li> </ul></li> <li><strong>Rational Functions</strong> <ul> <li>12.1 Finding the Domains of Rational Functions and Simplifying Rational Expressions</li> <li>12.2 Multiplying and Dividing Rational Expressions; Converting Units</li> <li>12.3 Adding and Subtracting Rational Expressions</li> <li>12.4 Simplifying Complex Rational Expressions</li> <li>12.5 Solving Rational Equations</li> <li>12.6 Modeling with Rational Functions</li> <li>12.7 Proportions; Similar Triangles</li> <li>12.8 Variation <ul> <li>Taking It to the Lab: Climate Change Lab (continued from Chapter 9) • Illumination Lab • Boyle’s Law Lab • Estimating 5 Lab</li> </ul></li> </ul></li> <li><strong>Radical Functions</strong> <ul> <li>13.1 Simplifying Radical Expressions</li> <li>13.2 Adding, Subtracting, and Multiplying Radical Expressions</li> <li>13.3 Rationalizing Denominators and Simplifying Quotients of Radical Expressions</li> <li>13.4 Graphing and Combining Square Root Functions</li> <li>13.5 Solving Radical Equations</li> <li>13.6 Modeling with Square Root Functions <ul> <li>Taking It to the Lab: Pendulum Lab</li> </ul></li> </ul></li> <li><strong>Sequences and Series</strong> <ul> <li>14.1 Arithmetic Sequences</li> <li>14.2 Geometric Sequences</li> <li>14.3 Arithmetic Series</li> <li>14.4 Geometric Series <ul> <li>Taking It to the Lab: Bouncing Ball Lab • Stacked Cups Lab</li> </ul></li> </ul></li> <li><strong>Additional Topics</strong> <ul> <li>15.1 Absolute Value: Equations and Inequalities</li> <li>15.2 Performing Operations with Complex Numbers</li> <li>15.3 Pythagorean Theorem, Distance Formula, and Circles</li> <li>15.4 Ellipses and Hyperbolas</li> <li>15.5 Solving Nonlinear Systems of 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> </div>