Chapter 1 Tool of Algebra |
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2 | (2) |
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1-1 Properties of Real Numbers |
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4 | (8) |
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Investigation: Exploring Pi, |
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11 | (1) |
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1-2 Algebraic Expressions |
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12 | (6) |
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18 | (6) |
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Technology: Spreadsheets, |
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25 | |
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24 | (2) |
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26 | (7) |
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Reading Math: Reading an Example, |
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32 | (1) |
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1-5 Absolute Value Equations and Inequalities |
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33 | (5) |
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38 | (1) |
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39 | (7) |
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Test-Taking Strategies: Writing Gridded Responses, |
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46 | (1) |
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47 | (3) |
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50 | (1) |
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Standardized Test Prep: Reading Comprehension, |
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51 | (1) |
Chapter 2 Functions, Equations, and Graphs |
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52 | (3) |
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2-1 Relations and Functions |
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55 | (7) |
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Algebra 1 Review: The Coordinate Plane, |
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54 | (8) |
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62 | (10) |
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Extension: Piecewise Functions, |
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71 | (1) |
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72 | (5) |
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77 | (1) |
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78 | (8) |
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Technology: Finding a Line of Best Fit, |
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85 | (1) |
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2-5 Absolute Value Functions and Graphs |
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86 | (5) |
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2-6 Vertical and Horizontal Translations |
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91 | (8) |
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98 | (1) |
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2-7 Two-Variable Inequalities |
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99 | (7) |
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Reading Math: Reading for Problem Solving, |
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105 | (1) |
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Test-Taking Strategies: Writing Short Responses, |
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106 | (1) |
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107 | (3) |
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110 | (1) |
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Standardized Test Prep: Cumulative Review, |
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111 | (1) |
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Real-World Snapshots: Applying Variation |
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112 | (2) |
Chapter 3 Linear systems |
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114 | (2) |
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3-1 Graphing Systems of Equations |
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116 | (7) |
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Extension: Parametric Equations, |
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122 | (1) |
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3-2 Solving Systems Algebraically |
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123 | (7) |
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Reading Math: Reading for Problem Solving, |
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129 | (1) |
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3-3 Systems of Inequalities |
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130 | (4) |
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134 | (1) |
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135 | (7) |
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Technology: Linear Programming, |
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141 | (1) |
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3-5 Graphs in Three Dimensions |
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142 | (5) |
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147 | (1) |
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3-6 Systems with Three Variables |
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148 | (8) |
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Test-Taking Strategies: Writing Extended Responses, |
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156 | (1) |
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157 | (3) |
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160 | (1) |
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Standardized Test Prep: Reading Comprehension, |
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161 | (1) |
Chapter 4 Matrices |
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162 | (2) |
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4-1 Organizing Data Into Matrices |
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164 | (6) |
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4-2 Adding and Subtracting Matrices |
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170 | (8) |
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Technology: Working With Matrices, |
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177 | (1) |
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4-3 Matrix Multiplication |
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178 | (7) |
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185 | (2) |
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4-4 Geometric Transformations With Matrices |
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187 | (8) |
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Geometry Review: Geometric Transformations, |
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186 | (9) |
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4-5 2x2 Matrices, Determinants, and Inverses |
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195 | (7) |
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4-6 3x3 Matrices, Determinants, and Inverses |
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202 | (5) |
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208 | |
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207 | (3) |
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4-7 Inverse Matrices and Systems |
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210 | (7) |
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Reading Math: Reading for Problem Solving, |
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216 | (1) |
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4-8 Augmented Matrices and Systems |
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217 | (7) |
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Test-Taking Strategies: Making Quantitative Comparisons, |
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224 | (1) |
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225 | (3) |
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228 | (1) |
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Standardized Test Prep: Cumulative Review, |
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229 | (1) |
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Real-World Snapshots: Applying Inequalities |
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230 | (2) |
Chapter 5 Quadratic Equations and Functions |
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232 | (2) |
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5-1 Modeling Data with Quadratic Functions |
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234 | (7) |
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Technology: Modeling Using Residuals, |
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240 | (1) |
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5-2 Properties of Parabolas |
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241 | (7) |
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5-3 Translating Parabolas |
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248 | (6) |
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254 | (1) |
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5-4 Factoring Quadratic Expressions |
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255 | (8) |
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263 | (7) |
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Algebra 1 Review: square Roots and Radicals, |
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262 | (7) |
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Extension: Quadratic Inequalities, |
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269 | (1) |
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270 | (6) |
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276 | (2) |
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5-7 Completing the Square |
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278 | (7) |
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Investigation: Completing the Square, |
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277 | (7) |
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Reading Math: Reading Formulas, |
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284 | (1) |
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5-8 The Quadratic Formula |
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285 | (7) |
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Test-Taking strategies: Using a Variable, |
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292 | (1) |
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293 | (3) |
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296 | (1) |
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Standardized Test Prep: Reading Comprehension, |
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297 | (1) |
Chapter 6 Polynomials and Polynomial Functions |
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298 | (2) |
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300 | (7) |
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306 | (1) |
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6-2 Polynomials and Linear Factors |
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307 | (7) |
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314 | (6) |
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320 | (1) |
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6-4 Solving Polynomial Equations |
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321 | (8) |
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Reading Math: Reading for Problem Solving, |
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327 | (1) |
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Extension: Descartes's Rule of Signs, |
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328 | (1) |
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6-5 Theorems about Roots of Polynomial Equations |
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329 | (6) |
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6-6 The Fundamental Theorem of Algebra |
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335 | (4) |
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6-7 Permutations and Combinations |
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339 | (6) |
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345 | (2) |
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347 | (5) |
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Investigation: Pascal's Triangle, |
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346 | (6) |
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Test-Taking Strategies: Drawing a Diagram, |
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352 | (1) |
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353 | (3) |
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356 | (1) |
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Standardized Test Prep: Cumulative Review, |
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357 | (1) |
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Real-World Snapshots: Applying Quadratic Functions |
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358 | (2) |
Chapter 7 Radical Functions and Rational Exponents |
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360 | (3) |
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7-1 Roots and Radical Expressions |
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363 | (5) |
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Algebra 1 Review: Properties of Exponents, |
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362 | (6) |
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7-2 Multiplying and Dividing Radical Expressions |
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368 | (6) |
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7-3 Binomial Radical Expressions |
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374 | (4) |
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378 | (1) |
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379 | (6) |
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7-5 Solving Radical Equations |
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385 | (7) |
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Geometry Review: Radical Expressions in Formulas, |
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391 | (1) |
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392 | (6) |
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Reading Math: Reading Mathematical Symbols, |
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399 | |
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398 | (2) |
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7-7 Inverse Relations and Functions |
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400 | (8) |
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Technology: Graphing Inverses, |
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407 | (1) |
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7-8 Graphing Radical Functions |
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408 | (6) |
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Test-Taking Strategies: Finding Multiple Correct Answers, |
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414 | (1) |
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415 | (3) |
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418 | (1) |
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Standardized Test Prep: Reading Comprehension, |
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419 | (1) |
Chapter 8 Exponential and Logarithmic Functions |
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420 | (2) |
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8-1 Exploring Exponential Models |
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422 | (9) |
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Technology: Fitting Exponential Curves to Data, |
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430 | (1) |
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8-2 Properties of Exponential Functions |
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431 | (6) |
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437 | (1) |
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8-3 Logarithmic Functions as Inverses |
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438 | (8) |
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Reading Math: Reading Data, |
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445 | (1) |
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8-4 Properties of Logarithms |
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446 | (7) |
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Technology: Verifying Properties of Logarithms, |
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452 | (1) |
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8-5 Exponential and Logarithmic Equations |
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453 | (7) |
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Technology: Linear and Exponential Models, |
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461 | |
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460 | (2) |
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462 | (6) |
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Test-Taking Strategies: Testing Multiple Choices, |
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468 | (1) |
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469 | (3) |
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472 | (1) |
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Standardized Test Prep: Cumulative Review, |
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473 | (1) |
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Real-World Snapshots: Applying Exponential Functions |
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474 | (2) |
Chapter 9 Rational Functions |
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476 | (2) |
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478 | (7) |
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Technology: Graphing Rational Functions, |
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484 | (1) |
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9-2 Graphing Inverse Variations |
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485 | (6) |
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9-3 Rational Functions and Their Graphs |
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491 | (7) |
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498 | (1) |
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499 | (5) |
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9-5 Adding and Subtracting Rational Expressions |
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504 | (6) |
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510 | (2) |
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9-6 Solving Rational Equations |
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512 | (7) |
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Investigation: Extraneous Solutions, |
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511 | (7) |
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Reading Math: Reading for Problem Solving, |
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518 | (1) |
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9-7 Probability of Multiple Events |
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519 | (7) |
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Test-Taking Strategies: Eliminating Answers, |
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526 | (1) |
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527 | (3) |
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530 | (1) |
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Standardized Test Prep: Reading Comprehension, |
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531 | (1) |
Chapter 10 Quadratic Relations |
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532 | (3) |
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10-1 Exploring Conic Sections |
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535 | (8) |
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Investigation: Conic Sections, |
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534 | (8) |
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Technology: Graphing Conic Sections, |
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542 | (1) |
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543 | (6) |
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549 | (5) |
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Extension: Using Parametric Form, |
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555 | |
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554 | (2) |
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556 | (6) |
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562 | (6) |
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Reading Math: Reading for Problem Solving, |
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569 | |
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568 | (2) |
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10-6 Translating Conic Sections |
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570 | (8) |
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Extension: Solving Quadratic Systems, |
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577 | (1) |
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Test-Taking Strategies: Choosing Cannot Be Determined, |
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578 | (1) |
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579 | (3) |
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582 | (1) |
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Standardized Test Prep: Cumulative Review, |
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583 | (1) |
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Real-World Snapshots: Applying Conic Sections |
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584 | (2) |
Chapter 11 Sequences and Series |
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586 | (2) |
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11-1 Mathematical Patterns |
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588 | (6) |
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11-2 Arithmetic Sequences |
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594 | (6) |
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Extension: The Fibonacci Sequence, |
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599 | (1) |
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600 | (5) |
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Reading Math: Reading for Problem Solving, |
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606 | |
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605 | (2) |
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607 | (7) |
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614 | (5) |
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Investigation: Geometry and Infinite Series, |
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613 | (7) |
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Extension: Mathematical Induction, |
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620 | |
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619 | (4) |
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623 | (5) |
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Technology: Evaluating Series, |
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622 | (6) |
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Test-Taking Strategies: Using Estimation, |
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628 | (1) |
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629 | (3) |
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632 | (1) |
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Standardized Test Prep: Reading Comprehension, |
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633 | (1) |
Chapter 12 Probability and Statistics |
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634 | (2) |
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12-1 Probability Distributions |
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636 | (6) |
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12-2 Conditional Probability |
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642 | (6) |
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Extension: Comparing Conditional Probabilities, |
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647 | (1) |
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648 | (7) |
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655 | (1) |
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656 | (7) |
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12-5 Working with Samples |
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663 | (8) |
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Reading Math: Reading Math Vocabulary, |
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670 | (1) |
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12-6 Binomial Distributions |
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671 | (6) |
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677 | (1) |
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12-7 Normal Distributions |
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678 | (8) |
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Technology: Area Under a Curve, |
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685 | (1) |
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Test-Taking Strategies: Answering the Question Asked, |
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686 | (1) |
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687 | (3) |
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690 | (1) |
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Standardized Test Prep: Cumulative Review, |
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691 | (1) |
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Real-World Snapshots: Applying Sequences |
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692 | (2) |
Chapter 13 Periodic Functions and Trigonometry |
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694 | (2) |
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13-1 Exploring Periodic Data |
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696 | (8) |
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13-2 Angles and the Unit Circle |
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704 | (8) |
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Geometry Review: Special Right Triangles, |
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703 | (9) |
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712 | (7) |
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Investigation: Measuring Radians, |
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711 | (8) |
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719 | (1) |
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720 | (9) |
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Technology: Graphing Trigonometric Functions, |
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728 | (1) |
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729 | (6) |
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13-6 The Tangent Function |
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735 | (7) |
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Reading Math: Reading a Graph, |
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741 | (1) |
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13-7 Translating Sine and Cosine Functions |
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742 | (6) |
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748 | (1) |
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13-8 Reciprocal Trigonometric Functions |
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749 | (7) |
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Test-Taking Strategies: Using Mental Math, |
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756 | (1) |
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757 | (3) |
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760 | (1) |
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Standardized Test Prep: Reading Comprehension, |
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761 | (1) |
Chapter 14 Trigonometric Identities and Equations |
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762 | (2) |
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14-1 Trigonometric Identities |
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764 | (5) |
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14-2 Solving Trigonometric Equations Using Inverses |
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769 | (9) |
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Extension: Lissajous Figures, |
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777 | (1) |
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14-3 Right Triangles and Trigonometric Ratios |
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778 | (7) |
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Reading Math: Reading a Diagram, |
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786 | |
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785 | (2) |
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14-4 Area and The Law of Sines |
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787 | (7) |
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Extension: The Ambiguous Case, |
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793 | (1) |
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794 | (6) |
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800 | (6) |
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806 | (1) |
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14-7 Double-Angle and Half-Angle Identities |
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807 | (5) |
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Test-Taking Strategies: Answering Open-Ended Questions, |
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812 | (1) |
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813 | (3) |
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816 | (1) |
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Standardized Test Prep: Cumulative Review, |
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817 | (3) |
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Real-World Snapshots: Applying Trigonometry |
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820 | (2) |
Extra Practice |
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822 | (14) |
Skills Handbook |
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836 | (1) |
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837 | (1) |
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Look for a Pattern and Make a Table |
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838 | (1) |
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839 | (1) |
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840 | (1) |
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841 | (1) |
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Percents and Percent Applications |
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842 | (1) |
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Operations with Fractions |
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843 | (1) |
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844 | (1) |
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Simplifying Expressions with Integers |
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845 | (1) |
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Valuating Formulas and Solving Literal Equations |
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846 | (1) |
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847 | (1) |
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The Coordinate Plane, Midpoint, and Slope |
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848 | (1) |
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Solving Linear Equations and Inequalities |
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849 | (1) |
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Absolute Value Equations and Inequalities |
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850 | (1) |
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Graphing Two-Variable Equations and Inequalities |
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851 | (1) |
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Operations with Exponents |
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852 | (1) |
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Factoring and Operations with Polynomials |
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853 | (1) |
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Scientific Notation and Significant Digits |
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854 | (1) |
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855 | (1) |
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The Pythagorean Theorem and the Distance Formula |
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856 | (1) |
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Bar Graphs and Circle Graphs |
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857 | (1) |
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Descriptive Statistics and Histograms |
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858 | (1) |
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Operations with Rational Expressions |
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859 | (1) |
Tables |
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860 | (1) |
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861 | (1) |
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862 | (1) |
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863 | (1) |
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864 | (1) |
Properties and Formulas |
|
865 | (6) |
English/Spanish Illustrated Glossary |
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871 | (43) |
Answers to Instant Check Systemâ„¢ |
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914 | (29) |
Selected Answers |
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943 | (39) |
Index |
|
982 | (14) |
Acknowledgments |
|
996 | |