Preface |
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xi | |
An Introduction to Calcutators |
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xxi | |
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1 | (87) |
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2 | (12) |
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Exponents, Order of Operations, and Inequality |
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14 | (7) |
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Variables, Expressions, and Equations |
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21 | (6) |
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Real Numbers and the Number Line |
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27 | (10) |
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Addition and Subtraction of Real Numbers |
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37 | (12) |
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Multiplication and Division of Real Numbers |
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49 | (12) |
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Properties of Real Numbers |
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61 | (8) |
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69 | (19) |
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75 | (1) |
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76 | (3) |
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Commulative Review Exercises |
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79 | (6) |
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85 | (3) |
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Linear Equations and Applications |
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88 | (73) |
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The Addition and Multiplication Properties of Equality |
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89 | (8) |
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More on Solving Linear Equations |
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97 | (8) |
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An Introduction to Applications of Linear Equations |
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105 | (11) |
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Formulas and Applications from Geometry |
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116 | (10) |
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126 | (9) |
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More About Problem Solving |
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135 | (26) |
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149 | (1) |
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150 | (4) |
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154 | (4) |
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158 | (1) |
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Commulative Review Exercises Chapters 1-2 |
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159 | (2) |
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Linear Inequalities and Absolute Value |
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161 | (38) |
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Linear Inequalities in One Variable |
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162 | (11) |
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Set Operations and Compound Inequalities |
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173 | (8) |
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Absolte Value Equations and Inequalities |
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181 | (18) |
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Summary: Exercises on Solving Linear and Absolute Value Equations and Inequalities |
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190 | (1) |
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190 | (2) |
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192 | (2) |
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194 | (1) |
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195 | (1) |
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Cumulative Review Exercises Chapter 1-3 |
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196 | (3) |
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Linear Equations in Two Variables |
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199 | (48) |
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Linear Equations in Two Variables |
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200 | (12) |
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Graphing Linear Equations in Two Variables |
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212 | (12) |
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224 | (23) |
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237 | (1) |
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238 | (3) |
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241 | (2) |
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243 | (1) |
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Commulative Review Exercises Chapters 1-4 |
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244 | (3) |
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Polynomials and Exponents |
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247 | (65) |
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Addition and Subtraction of Polynomials: Graphing Simple Polynomials |
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248 | (10) |
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The Product Rule and Power Rules for Exponents |
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258 | (8) |
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Multiplication of Polynomials |
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266 | (6) |
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272 | (5) |
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Integer Exponents and the Quotient Rule |
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277 | (8) |
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285 | (9) |
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An Application of Exponents: Scientific Notation |
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294 | (18) |
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300 | (1) |
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301 | (3) |
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304 | (4) |
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308 | (1) |
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Commulative Review Exercises Chapters 1-5 |
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309 | (3) |
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Factoring and Applications |
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312 | (59) |
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The Greatest Common Factor; Factoring by Grouping |
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313 | (7) |
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320 | (5) |
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More on Factoring Trinomials |
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325 | (7) |
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332 | (10) |
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Summary: Exercises on Factoring |
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340 | (2) |
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Solving Quadratic Equations by Factoring |
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342 | (7) |
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Applications of Quadratic Equations |
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349 | (22) |
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360 | (1) |
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361 | (2) |
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363 | (5) |
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368 | (1) |
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Cumulative Review Exercises Chapters 1-6 |
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369 | (2) |
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371 | (75) |
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The Fundamental Property of Rational Expressions |
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372 | (9) |
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Multiplication and Division of Rational Expressions |
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381 | (7) |
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The Least Common Denominator |
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388 | (5) |
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Addition and Subtraction of Rational Expressions |
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393 | (8) |
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401 | (8) |
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Solving Equations Involving Rational Expressions |
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409 | (11) |
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Summary: Exercises on Operations and Equations with Rational Expressions |
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417 | (3) |
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Applications of Rational Expressions |
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420 | (26) |
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434 | (1) |
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435 | (4) |
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439 | (4) |
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443 | (1) |
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Cumulative Review Exercises Chapters 1-7 |
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444 | (2) |
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Equations of Lines, Inequalities, and Functions |
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446 | (63) |
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Review of Graphs and Slopes of Lines |
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447 | (16) |
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463 | (14) |
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Linear Inequalities in Two Variables |
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477 | (7) |
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484 | (25) |
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498 | (1) |
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498 | (3) |
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501 | (4) |
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505 | (2) |
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Cumulative Review Exercises Chapters 1-8 |
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507 | (2) |
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509 | (85) |
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Solving Systems of Linear Equations by Graphing |
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510 | (9) |
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Solving Systems of Linear Equations by Substitution |
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519 | (6) |
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Solving Systems of Linear Equations by Elimination |
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525 | (8) |
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Linear Systems of Equations in Three Variables |
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533 | (7) |
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Applications of Linear Systems of Equations |
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540 | (15) |
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Solving Linear Systems of Equations by Matrix Methods |
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555 | (10) |
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Determinants and Cramer's Rule |
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565 | (29) |
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577 | (1) |
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578 | (6) |
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584 | (5) |
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589 | (1) |
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Cumulative Review Exercises Chapters 1-9 |
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590 | (4) |
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594 | (59) |
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595 | (11) |
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Multiplication and Division of Radicals |
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606 | (7) |
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Addition and Subtraction of Radicals |
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613 | (5) |
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Rationalizing the Denominator |
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618 | (4) |
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Simplifying Radical Expressions |
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622 | (6) |
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Solving Equations with Radicals |
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628 | (10) |
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638 | (15) |
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643 | (1) |
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644 | (3) |
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647 | (3) |
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650 | (1) |
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Cumulative Review Exercises Chapters 1-10 |
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650 | (3) |
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Quadratic Equations, Inequalities, and Graphs |
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653 | (94) |
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Solving Quadratic Equations by the Square Root Property |
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654 | (5) |
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Solving Quadratic Equations by Completing the Square |
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659 | (6) |
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Solving Quadratic Equations by the Quadratic Formula |
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665 | (10) |
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675 | (8) |
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Equations Quadratic in Form |
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683 | (8) |
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Formulas and Applications |
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691 | (10) |
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Graphs of Quadratic Functions |
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701 | (10) |
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More About Parabolas: Applications |
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711 | (12) |
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723 | (24) |
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730 | (1) |
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731 | (6) |
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737 | (5) |
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742 | (2) |
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Cumulative Review Exercises Chapters 1-11 |
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744 | (3) |
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Inverse, Exponential, and Logarithmic Functions |
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747 | (68) |
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748 | (10) |
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758 | (10) |
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768 | (8) |
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776 | (8) |
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784 | (10) |
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Exponential and Logarithmic Equations; Applications |
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794 | (21) |
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802 | (1) |
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803 | (4) |
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807 | (4) |
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811 | (2) |
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Cumulative Review Exercises Chapters 1-12 |
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813 | (2) |
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815 | (47) |
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The Circle and the Ellipse |
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816 | (8) |
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The Hyperbola and Square Root Functions |
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824 | (11) |
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Nonlinear Systems of Equations |
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835 | (9) |
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Second-Degree Inequalities; Systems of Inequalities |
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844 | (18) |
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851 | (1) |
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852 | (4) |
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856 | (2) |
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858 | (1) |
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Cumulative Review Exercises Chapters 1-13 |
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859 | (3) |
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862 | (43) |
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863 | (8) |
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871 | (7) |
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878 | (11) |
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889 | (16) |
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896 | (1) |
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897 | (2) |
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899 | (3) |
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902 | (1) |
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Cumulative Review Exercises Chapters 1-14 |
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903 | (2) |
Appendix A Review of Decimals and Percents |
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905 | (4) |
Appendix B Sets |
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909 | (5) |
Appendix C Joint and Combined Variation |
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914 | (5) |
Appendix D Synthetic Division |
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919 | (5) |
Appendix E Review of Exponents, Polynomials, and Factoring (Transitions from Beginning to Intermediate Algebra) |
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924 | |
Answers to Selected Exercises |
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A-1 | |
Index |
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I-1 | |
Index of Applications |
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I-10 | |