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1 An Introduction to Algebra |
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1 | (80) |
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1.1 Describing Numerical Relationships |
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2 | (10) |
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12 | (11) |
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1.3 Exponents and Order of Operations |
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23 | (12) |
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1.4 Algebraic Expressions |
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35 | (11) |
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46 | (13) |
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59 | (10) |
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69 | (8) |
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77 | (2) |
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79 | (1) |
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80 | (1) |
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2 Real Numbers, Equations, and Inequalities |
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81 | (103) |
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2.1 Adding and Subtracting Real Numbers |
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82 | (11) |
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2.2 Multiplying and Dividing Real Numbers |
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93 | (10) |
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2.3 Order of Operations and Evaluating Algebraic Expressions |
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103 | (10) |
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2.4 Simplifying Algebraic Expressions |
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113 | (10) |
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123 | (11) |
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134 | (13) |
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147 | (11) |
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158 | (12) |
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Key Concept: Simplify and Solve |
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170 | (1) |
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171 | (1) |
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172 | (7) |
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179 | (2) |
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Cumulative Review Exercises |
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181 | (3) |
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3 Graphs, Linear Equations, and Functions |
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184 | (93) |
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3.1 Graphing Using the Rectangular Coordinate System |
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185 | (10) |
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3.2 Equations Containing Two Variables |
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195 | (10) |
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3.3 Graphing Linear Equations |
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205 | (14) |
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213 | (6) |
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3.4 Rate of Change and the Slope of a Line |
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219 | (13) |
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3.5 Describing Linear Relationships |
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232 | (12) |
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238 | (6) |
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3.6 Writing Linear Equations |
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244 | (9) |
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253 | (12) |
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265 | (8) |
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273 | (2) |
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Key Concept: Describing Linear Relationships |
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275 | (1) |
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276 | (1) |
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4 Solving Systems of Equations and Inequalities |
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277 | (69) |
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4.1 Solving Systems of Equations by Graphing |
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278 | (11) |
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284 | (5) |
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4.2 Solving Systems of Equations by Substitution |
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289 | (9) |
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4.3 Solving Systems of Equations by Addition |
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298 | (6) |
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4.4 Applications of Systems of Equations |
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304 | (11) |
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4.5 Graphing Linear Inequalities |
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315 | (9) |
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4.6 Solving Systems of Linear Inequalities |
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324 | (9) |
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333 | (6) |
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339 | (2) |
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Key Concept: Systems of Equations and Inequalities |
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341 | (1) |
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342 | (1) |
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Cumulative Review Exercises |
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343 | (3) |
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5 Exponents and Polynomials |
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346 | (69) |
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5.1 Natural-Number Exponents |
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347 | (8) |
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5.2 Zero and Negative Integer Exponents |
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355 | (8) |
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363 | (6) |
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369 | (8) |
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5.5 Adding and Subtracting Polynomials |
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377 | (7) |
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5.6 Multiplying Polynomials |
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384 | (9) |
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5.7 Dividing Polynomials by Monomials |
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393 | (7) |
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5.8 Dividing Polynomials by Polynomials |
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400 | (6) |
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406 | (5) |
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411 | (2) |
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413 | (1) |
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414 | (1) |
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6 Roots and Radical Expressions |
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415 | (70) |
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6.1 Square Roots and the Pythagorean Theorem |
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416 | (9) |
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6.2 nth Roots and Radicands that Contain Variables |
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425 | (7) |
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6.3 Solving Equations Containing Radicals; the Distance Formula |
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432 | (12) |
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438 | (6) |
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6.4 Simplifying Radical Expressions |
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444 | (8) |
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6.5 Adding and Subtracting Radical Expressions |
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452 | (5) |
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6.6 Multiplying and Dividing Radical Expressions |
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457 | (9) |
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466 | (6) |
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472 | (5) |
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477 | (2) |
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Key Concept: Inverse Operations |
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479 | (1) |
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480 | (1) |
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Cumulative Review Exercises |
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481 | (4) |
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485 | (70) |
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7.1 Factoring Out a Common Monomial; The Difference of Two Squares |
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486 | (9) |
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495 | (10) |
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505 | (10) |
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7.4 Completing the Square |
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515 | (7) |
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7.5 The Quadratic Formula |
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522 | (11) |
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7.6 Graphing Quadratic Functions |
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533 | (6) |
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539 | (6) |
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545 | (6) |
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551 | (2) |
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Key Concept: Quadratic Equations |
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553 | (1) |
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554 | (1) |
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8 Proportion and Rational Expressions |
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555 | |
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556 | (7) |
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8.2 Proportions and Similar Triangles |
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563 | (10) |
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8.3 Simplifying Fractions |
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573 | (7) |
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8.4 Multiplying and Dividing Fractions |
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580 | (8) |
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8.5 Adding and Subtracting Fractions |
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588 | (10) |
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598 | (7) |
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8.7 Solving Equations That Contain Fractions |
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605 | (7) |
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8.8 Applications of Equations That Contain Fractions |
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612 | (6) |
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618 | (5) |
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623 | (2) |
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Key Concept: The Language of Algebra |
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625 | (1) |
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626 | (1) |
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Cumulative Review Exercises |
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627 | |
| APPENDIX I Arithmetic Fractions |
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A-1 | (13) |
| APPENDIX II Factoring the Sum and Difference of Two Cubes; Factoring by Grouping |
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A-14 | (5) |
| APPENDIX III Answers to Selected Exercises |
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A-19 | |
| Index |
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I-1 | |
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