| Introduction |
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How This Workbook Is Organized |
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3 | (1) |
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Where to Go for Additional Help |
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| Part 1: The Questions |
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5 | (112) |
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Chapter 1 Reviewing Algebra Basics |
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7 | (6) |
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The Problems You'll Work On |
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7 | (1) |
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7 | (1) |
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Multiplying Binomials and Trinomials |
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8 | (1) |
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Using Pascal's Triangle to Multiply Binomials |
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8 | (1) |
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9 | (1) |
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Solving Linear Equations for Variables |
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9 | (1) |
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Solving Linear Inequalities |
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10 | (1) |
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Making Radical Expressions Simpler |
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10 | (1) |
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Working with Complex Expressions |
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11 | (2) |
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Chapter 2 Solving Quadratic Equations and Nonlinear Inequalities |
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13 | (8) |
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The Problems You'll Work On |
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13 | (1) |
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13 | (1) |
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Applying the Square Root Rule on Quadratic Equations |
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14 | (1) |
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Solving Quadratic Equations Using Factoring |
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14 | (1) |
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Using the Quadratic Formula to Solve Equations |
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15 | (1) |
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Recognizing and Solving Quadratic-Like Equations |
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16 | (1) |
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Completing the Square to Solve Quadratic Equations |
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17 | (1) |
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Combining Methods When Solving Quadratic Equations |
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17 | (1) |
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Solving Quadratic Inequalities Using Number Lines |
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18 | (3) |
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Chapter 3 Solving Radical and Rational Equations |
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21 | (6) |
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The Problems You'll Work On |
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21 | (1) |
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21 | (1) |
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Solving Rational Equations |
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22 | (1) |
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Taking on Radical Equations Involving One Radical Term |
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23 | (2) |
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Solving Radical Equations with Multiple Radical Terms |
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25 | (2) |
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Chapter 4 Graphs and Equations of Lines |
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27 | (6) |
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The Problems You'll Work On |
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27 | (1) |
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27 | (1) |
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Sketching Lines Using a Point and Slope |
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28 | (1) |
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Writing Equations of Lines Given Point and Slope |
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29 | (1) |
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Writing Equations of Lines Given Two Points |
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30 | (1) |
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Finding Equations of Parallel Lines |
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30 | (1) |
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Writing Equations of Perpendicular Lines |
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31 | (2) |
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33 | (6) |
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The Problems You'll Work On |
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33 | (1) |
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33 | (1) |
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Determining a Function's Domain and Range |
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34 | (1) |
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Finding Inverses of Functions |
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34 | (1) |
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Recognizing Even and Odd Functions |
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35 | (1) |
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Performing the Composition Operation on Functions |
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36 | (1) |
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Creating a Difference-Quotient and Simplifying |
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36 | (1) |
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Evaluating Piecewise Functions for Particular Inputs |
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37 | (2) |
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Chapter 6 Quadratic Functions and Relations |
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39 | (6) |
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The Problems You'll Work On |
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39 | (1) |
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39 | (1) |
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Determining the Vertex and Intercepts of a Parabola |
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40 | (1) |
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Writing Equations of Parabolas in a Standard Form |
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40 | (1) |
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Sketching Graphs of Parabolas |
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41 | (1) |
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Using Quadratic Equations in Applications |
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42 | (3) |
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Chapter 7 Polynomial Functions and Equations |
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45 | (6) |
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The Problems You'll Work On |
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45 | (1) |
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45 | (1) |
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Recognizing the Intercepts of Polynomials |
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46 | (1) |
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Factoring by Grouping to Solve for Intercepts |
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46 | (1) |
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Applying the Rational Root Theorem to Find Roots |
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47 | (1) |
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Performing Synthetic Division to Factor Polynomials |
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48 | (1) |
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Evaluating Polynomials for Input Values |
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48 | (1) |
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Investigating End-Behavior of Polynomials |
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49 | (1) |
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Sketching the Graphs of Polynomial Functions |
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50 | (1) |
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Chapter 8 Rational Functions |
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51 | (6) |
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The Problems You'll Work On |
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51 | (1) |
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51 | (1) |
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Investigating the Domain of a Rational Function |
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52 | (1) |
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Determining a Function's Removable Discontinuity |
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52 | (1) |
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Evaluating a Function When x Is Infinitely Large or Small |
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53 | (1) |
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Determining a Function's Infinite Limit |
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54 | (1) |
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Writing Equations of Asymptotes |
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54 | (1) |
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Adding Oblique Asymptotes to the Mix |
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55 | (1) |
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Sketching the Graphs of Rational Functions |
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55 | (2) |
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Chapter 9 Exponential and Logarithmic Functions |
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57 | (8) |
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The Problems You'll Work On |
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57 | (1) |
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57 | (1) |
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Evaluating Exponential Functions for Input |
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58 | (1) |
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Evaluating Exponential Functions in Base e |
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58 | (1) |
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Sketching the Graphs of Exponential Functions |
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59 | (1) |
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Finding Values of Logarithmic Expressions for Given Input |
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59 | (1) |
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Evaluating Natural Logarithms in Base e |
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60 | (1) |
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Sketching the Graphs of Log Functions |
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61 | (1) |
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Rewriting a Log Function as Its Exponential Inverse |
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61 | (1) |
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Changing Exponential Functions to Logarithmic inverses |
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62 | (1) |
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Solving Exponential Equations |
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62 | (1) |
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Solving Logarithmic Equations |
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63 | (2) |
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Chapter 10 Conic Sections |
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65 | (8) |
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The Problems You'll Work On |
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65 | (1) |
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66 | (1) |
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Rewriting Equations of Parabolas in Standard Form |
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66 | (1) |
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Determining a Vertex, Focus, Directrix, and Axis of Symmetry |
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67 | (1) |
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Sketching the Graph of a Parabola |
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67 | (1) |
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Rewriting a Circle's Equation in Standard Form |
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68 | (1) |
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Identifying the Center and Radius of a Circle |
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68 | (1) |
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Sketching the Graph of a Circle |
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69 | (1) |
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Writing an Ellipse's Equation in Standard Form |
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69 | (1) |
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Identifying the Center, the Foci, and Axis Endpoints |
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70 | (1) |
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Sketching the Graphs of Ellipses |
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70 | (1) |
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Writing the Equation of a Hyperbola in Standard Form |
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71 | (1) |
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Finding the Center, Foci, and Asymptotes of Hyperbolas |
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71 | (1) |
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Sketching the Graphs of Hyperbolas |
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72 | (1) |
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Chapter 11 Systems of Linear Equations |
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73 | (6) |
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The Problems You'll Work On |
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73 | (1) |
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73 | (1) |
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Solving Systems of Two Linear Equations |
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74 | (1) |
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Performing Row Operations on Linear Equations |
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74 | (1) |
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Solving Systems of Equations with Row Echelon Form |
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75 | (1) |
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Using Reduced Row Echelon Form to Solve Systems |
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76 | (1) |
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Solving Systems of Linear Equations |
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76 | (1) |
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Decomposing Fractions Using Systems of Equations |
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77 | (2) |
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Chapter 12 Systems of Nonlinear Equations and Inequalities |
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79 | (6) |
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The Problems You'll Work On |
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79 | (1) |
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79 | (1) |
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Determining Intersections of Parabolas and Lines |
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80 | (1) |
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Finding Where Two Parabolas Meet |
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80 | (1) |
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Solving for Intersections of Conics |
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81 | (1) |
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Finding the Intersections of Exponential Functions |
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82 | (1) |
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Using Graphing to Solve Systems of Inequalities |
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83 | (2) |
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Chapter 13 Working with Complex Numbers |
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85 | (6) |
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The Problems You'll Work On |
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85 | (1) |
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85 | (1) |
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Rewriting Powers of i as i, -i, 1, or -1 |
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86 | (1) |
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Operating on and Simplifying Complex Expressions |
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86 | (1) |
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Multiplying and Simplifying Complex Numbers |
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87 | (1) |
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Using Conjugates to Divide Complex Numbers |
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88 | (1) |
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Solving for Complex Solutions in Quadratic Equations |
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89 | (2) |
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91 | (6) |
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The Problems You'll Work On |
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91 | (1) |
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92 | (1) |
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Determining the Dimension and Type of Matrix |
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92 | (1) |
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Adding and Subtracting Matrices |
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92 | (1) |
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Performing Scalar Multiplication on Matrices |
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93 | (1) |
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93 | (1) |
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Determining.Inverses of Square Matrices |
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94 | (1) |
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Dividing Matrices Using Inverses |
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94 | (1) |
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Using Matrices to Solve Systems of Equations |
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95 | (2) |
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Chapter 15 Sequences and Series |
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97 | (6) |
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The Problems You'll Work On |
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97 | (1) |
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97 | (1) |
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Writing Terms of a Sequence Given a Rule |
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98 | (1) |
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Finding a General Term for an Arithmetic Sequence |
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98 | (1) |
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Writing a General Term for a Geometric Sequence |
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98 | (1) |
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Recognizing Patterns in Sequences |
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99 | (1) |
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Creating Recursively Defined Sequences |
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99 | (1) |
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Writing More Terms of Special Sequences |
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99 | (1) |
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Finding the Sum of the Terms in a Series |
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100 | (1) |
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Summing Arithmetic Series |
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100 | (1) |
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Determining the Sum of a Geometric Series |
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101 | (1) |
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Computing the Sum of a Special Series |
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102 | (1) |
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Using a Special Formula for the Sum of an Infinite Series |
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102 | (1) |
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103 | (6) |
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The Problems You'll Work On |
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103 | (1) |
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103 | (1) |
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Creating the Elements of a Set from a Description |
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104 | (1) |
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Performing Set Operations |
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104 | (1) |
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Operating on Sets of Special Numbers |
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105 | (1) |
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Using Venn Diagrams to Solve Problems Involving Sets |
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106 | (1) |
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Enlisting Venn Diagrams to Solve Applications |
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107 | (2) |
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Chapter 17 Counting Techniques and Probability |
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109 | (8) |
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The Problems You'll Work On |
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109 | (1) |
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110 | (1) |
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Solving Problems Using the Multiplication Property |
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110 | (1) |
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Counting How Many Using Permutations |
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111 | (1) |
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Incorporating Combinations in Counting Problems |
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112 | (1) |
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Performing a Binomial Expansion |
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113 | (1) |
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Solving Probability Problems Using Counting Techniques |
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113 | (4) |
| Part 2: The Answers |
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| Index |
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49 | |
Lisainfo e-raamatute kohta