| 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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4 | (1) |
| Part 1: The Questions |
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5 | (122) |
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Chapter 1 Signing on with Signed Numbers |
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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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Placing Real Numbers on the Number Line |
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8 | (1) |
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Using the Absolute Value Operation |
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8 | (1) |
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8 | (1) |
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Subtracting Signed Numbers |
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9 | (1) |
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Multiplying and Dividing Signed Numbers |
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10 | (3) |
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Chapter 2 Recognizing Algebraic Properties and Notation |
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13 | (4) |
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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 Traditional Grouping Symbols |
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14 | (1) |
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Introducing Some Non-Traditional Grouping Symbols |
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14 | (1) |
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Distributing Multiplication over Addition and Subtraction |
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15 | (1) |
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Associating Terms Differently with the Associative Property |
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15 | (1) |
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Rearranging with the Commutative Property |
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16 | (1) |
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Applying More Than One Property to an Expression |
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16 | (1) |
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Chapter 3 Working with Fractions and Decimals |
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17 | (6) |
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The Problems You'll Work On |
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17 | (1) |
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18 | (1) |
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Adding and Subtracting Fractions |
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18 | (1) |
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18 | (1) |
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18 | (1) |
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Simplifying Complex Fractions |
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19 | (1) |
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Adding and Subtracting Decimals |
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19 | (1) |
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20 | (1) |
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20 | (1) |
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Changing Fractions to Decimals |
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20 | (1) |
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Changing Decimals to Fractions |
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21 | (2) |
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Chapter 4 Making Exponential Expressions and Operations More Compatible |
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23 | (6) |
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The Problems You'll Work On |
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23 | (1) |
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23 | (1) |
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Multiplying and Dividing Exponentials with the Same Base |
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24 | (1) |
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Raising a Power to a Power |
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24 | (1) |
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Combining Different Operations on Exponentials |
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25 | (1) |
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Changing the Base to Perform an Operation |
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26 | (1) |
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Working with Scientific Notation |
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26 | (3) |
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Chapter 5 Raking in Radicals |
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29 | (6) |
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The Problems You'll Work On |
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29 | (1) |
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29 | (1) |
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Simplifying Radical Expressions |
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30 | (1) |
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Rationalizing Denominators |
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30 | (1) |
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Using Fractional Exponents for Radicals |
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31 | (1) |
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Evaluating Expressions with Fractional Exponents |
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32 | (1) |
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32 | (1) |
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Operating on Factors with Fractional Exponents |
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33 | (1) |
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Estimating Values of Radicals |
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33 | (2) |
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Chapter 6 Creating More User-Friendly Algebraic Expressions |
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35 | (6) |
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The Problems You'll Work On |
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35 | (1) |
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35 | (1) |
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Adding and Subtracting Like Terms |
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36 | (1) |
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Multiplying and Dividing Factors |
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36 | (1) |
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Simplifying Expressions Using the Order of Operations |
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37 | (1) |
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Evaluating Expressions Using the Order of Operations |
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38 | (1) |
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Operating with Factorials |
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38 | (1) |
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Focusing on Function Notation |
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39 | (2) |
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Chapter 7 Multiplying by One or More Terms |
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41 | (6) |
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The Problems You'll Work On |
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41 | (1) |
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41 | (1) |
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Distributing One Term Over Sums and Differences |
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42 | (1) |
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Distributing Using Division |
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42 | (1) |
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Multiplying Binomials Using Distributing |
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42 | (1) |
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Multiplying Binomials Using FOIL |
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43 | (1) |
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Distributing Binomials Over Trinomials |
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43 | (1) |
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44 | (1) |
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Raising Binomials to the Third Power |
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44 | (1) |
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44 | (1) |
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Finding Special Products of Binomials and Trinomials |
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45 | (2) |
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Chapter 8 Dividing Algebraic Expressions |
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47 | (6) |
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The Problems You'll Work On |
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47 | (1) |
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47 | (1) |
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Dividing with Monomial Divisors |
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48 | (1) |
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Monomial Divisors and Remainders |
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48 | (1) |
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Using Long Division to Divide with Binomials |
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49 | (1) |
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Dividing with Binomials Using Synthetic Division |
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50 | (1) |
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Dividing with Higher Power Divisors |
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50 | (3) |
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Chapter 9 Factoring Basics |
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53 | (4) |
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The Problems You'll Work On |
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53 | (1) |
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53 | (1) |
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Finding Divisors Using Rules of Divisibility |
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54 | (1) |
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Writing Prime Factorizations |
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54 | (1) |
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55 | (1) |
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Reducing Fractions with a Common GCF |
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56 | (1) |
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Chapter 10 Factoring Binomials |
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57 | (4) |
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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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Factoring the Difference of Perfect Squares |
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58 | (1) |
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Factoring the Sum or Difference of Two Perfect Cubes |
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58 | (1) |
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59 | (2) |
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Chapter 11 Factoring Quadratic Trinomials |
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61 | (4) |
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The Problems You'll Work On |
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61 | (1) |
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61 | (1) |
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Factoring Out the GCF of a Trinomial |
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62 | (1) |
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Factoring Trinomials into the Products of Binomials |
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62 | (1) |
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Factoring Quadratic-Like Expressions |
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63 | (1) |
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Factoring Completely Using More Than One Technique |
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63 | (2) |
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Chapter 12 Other Factoring Techniques |
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65 | (4) |
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The Problems You'll Work On |
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65 | (1) |
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65 | (1) |
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66 | (1) |
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Combining Other Factoring Techniques with Grouping |
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66 | (1) |
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Using Multiple Factoring Methods |
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66 | (3) |
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Chapter 13 Solving Linear Equations |
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69 | (4) |
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The Problems You'll Work On |
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69 | (1) |
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69 | (1) |
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Solving Linear Equations Using Basic Operations |
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70 | (1) |
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Dealing with Fractions in Linear Equations |
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71 | (2) |
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Chapter 14 Taking on Quadratic 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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Applying the Square Root Rule to Quadratic Equations |
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74 | (1) |
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Solving Quadratic Equations Using Factoring |
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74 | (1) |
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Applying the Quadratic Formula to Quadratic Equations |
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75 | (1) |
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Completing the Square to Solve Quadratic Equations |
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76 | (1) |
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Writing Complex Numbers in the Standard a + bi Form |
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76 | (1) |
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Finding Complex Solutions Using the Quadratic Formula |
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77 | (2) |
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Chapter 15 Solving Polynomials with Powers Three and Higher |
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79 | (4) |
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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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Applying Descartes's Rule of Signs to Count Real Roots |
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80 | (1) |
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Applying the Rational Root Theorem to List Roots |
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80 | (1) |
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Determining Whether Numbers Are Roots |
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81 | (1) |
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Solving for the Roots of Polynomials |
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81 | (2) |
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Chapter 16 Reining in Radical and Absolute Value Equations |
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83 | (4) |
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The Problems You'll Work On |
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83 | (1) |
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83 | (1) |
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Solving Basic Radical Equations |
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84 | (1) |
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Checking for Extraneous Roots |
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84 | (1) |
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Squaring Both Sides of Equations Twice |
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85 | (1) |
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Solving Radicals with Roots Other Than Square Roots |
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85 | (1) |
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Solving Absolute Value Equations |
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85 | (1) |
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Handling Absolute Value Equations with No Solution |
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86 | (1) |
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Chapter 17 Making Inequalities More Fair |
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87 | (6) |
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The Problems You'll Work On |
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87 | (1) |
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87 | (1) |
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Performing Operations on Inequalities |
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88 | (1) |
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Writing Inequalities Using Interval Notation |
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88 | (1) |
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Changing Interval Notation to Inequality Notation |
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88 | (1) |
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Solving Linear Inequalities |
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89 | (1) |
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Taking on Compound Inequalities |
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89 | (1) |
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Solving Quadratic Inequalities |
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89 | (1) |
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Finding Solutions of Nonlinear Inequalities |
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90 | (1) |
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Rewriting and Solving Absolute Value Inequalities |
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91 | (1) |
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Delving into Complex Inequalities |
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91 | (2) |
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Chapter 18 Using Established Formulas |
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93 | (8) |
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The Problems You'll Work On |
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93 | (1) |
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93 | (1) |
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Getting Interested in Interest Problems |
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94 | (1) |
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Heating It Up with Temperature Problems |
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94 | (1) |
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Adding up Natural Numbers |
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95 | (1) |
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Going the Distance with the Distance Formula |
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95 | (1) |
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Getting the Inside Scoop with Sums of Interior Angles |
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96 | (1) |
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Averaging Out the Numbers |
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97 | (1) |
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Summing the Squares of Numbers |
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97 | (1) |
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Finding the Terms of a Sequence |
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97 | (1) |
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Adding the Terms in an Arithmetic Sequence |
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98 | (1) |
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Using the Formula for the Sum of Cubes |
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98 | (1) |
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Compounding the Problems Involving Compound Interest |
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98 | (3) |
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Chapter 19 Using Formulas in Geometric Story Problems |
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101 | (6) |
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The Problems You'll Work On |
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101 | (1) |
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102 | (1) |
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Working around the Perimeter of Rectangles |
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102 | (1) |
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Using the Area Formula for a Trapezoid |
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103 | (1) |
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Tackling Area and Perimeter of a Square |
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103 | (1) |
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Solving Problems Using the Perimeter of a Triangle |
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103 | (1) |
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Working with the Area and Perimeter of a Rectangle |
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104 | (1) |
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Using the Formula for the Area of a Hexagon |
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104 | (1) |
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Getting Pythagoras Involved in the Area of a Triangle |
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104 | (1) |
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Making Use of the Volume of a Box |
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105 | (1) |
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Working with the Volume of a Cylinder |
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105 | (1) |
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Changing Radians to Degrees and Degrees to Radians |
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105 | (1) |
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Determining the Height of an Object |
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106 | (1) |
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Working with Heron's Formula for the Area of a Triangle |
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106 | (1) |
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Chapter 20 Tackling Traditional Story Problems |
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107 | (6) |
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The Problems You'll Work On |
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107 | (1) |
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107 | (1) |
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108 | (1) |
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Working with Consecutive Integers |
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109 | (1) |
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Getting the Job Done on Work Problems |
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110 | (1) |
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Counting on Quality and Quantity Problems |
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111 | (1) |
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111 | (2) |
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Chapter 21 Graphing Basics |
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113 | (6) |
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The Problems You'll Work On |
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113 | (1) |
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113 | (1) |
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Plotting Points on the Coordinate System |
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114 | (1) |
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Determining the Quadrant of a Point |
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115 | (1) |
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Finding the Intercepts of a Line |
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115 | (1) |
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Calculating the Slope of a Line from Two Points |
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116 | (1) |
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Determining a Line's Slope from Its Equation |
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117 | (1) |
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Sketching the Graph of a Line from Its Equation |
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117 | (1) |
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Sketching Lines Using Two Points |
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118 | (1) |
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Chapter 22 Using the Algebra of Lines |
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119 | (4) |
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The Problems You'll Work On |
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119 | (1) |
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119 | (1) |
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Writing Equations of Lines Using the Slope and a Point |
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120 | (1) |
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Writing the Equation of a Line Using Two Points |
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120 | (1) |
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Dealing with Slopes of Parallel and Perpendicular Lines |
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121 | (1) |
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Finding Equations of Lines Parallel or Perpendicular to One Given |
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121 | (1) |
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Computing the Distance Between Points |
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121 | (1) |
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122 | (1) |
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Chapter 23 Other Graphing Topics |
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123 | (4) |
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The Problems You'll Work On |
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123 | (1) |
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123 | (1) |
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Graphing to Find the Intersection of Two Lines |
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124 | (1) |
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Sketching the Graph of a Circle |
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124 | (1) |
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Creating the Graph of a Parabola |
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125 | (1) |
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Transforming the Graph of a Figure |
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125 | (2) |
| Part 2: The Answers |
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127 | (316) |
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129 | (314) |
| Index |
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Lisainfo e-raamatute kohta