Ron Larson Laurie Boswell Timothy D. Kanold Lee Stiff ALGEBRA 1
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Transcript
Ron LarsonLaurie Boswell
Timothy D. KanoldLee Stiff
ALGEBRA 1
viii Contents
CHAPTER
1Expressions, Equations, andFunctionsPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xxii
1.1 Evaluate Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
1.2 Apply Order of Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 Graphing Calculator Activity Use Order of Operations . . . . . . . . . . . . . . . . . . . . . . . 13
1.3 Write Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 Investigating Algebra Activity: Patterns and Expressions . . . . . . . . . . . . . . . . . . . . . 14
1.4 Write Equations and Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
1.5 Use a Problem Solving Plan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
1.6 Represent Functions as Rules and Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 Graphing Calculator Activity Make a Table . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
1.7 Represent Functions as Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 Investigating Algebra Activity: Scatter Plots and Functions . . . . . . . . . . . . . . . . . . . 42Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
ASSESSMENT
Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20, 33, 48Chapter Summary and Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
★ Standardized Test Preparation and Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
Activities . . . . . . . . . . . . . . . . . . . 1, 7, 9, 14, 21, 29, 34, 37, 50
Problem Solving, p. 290.1s 1 0.6 5 2
TECHNOLOGY
At classzone.com:
• Animated Algebra, 1, 7, 9, 14, 21, 29, 34,37, 50
• @Home Tutor, xxii, 6, 11, 13, 19, 25, 32,39, 41, 47, 53
• Online Quiz, 7, 12, 20, 26, 33, 40, 48
• Electronic Function Library, 52
• State Test Practice, 27, 51, 61
★ ASSESSMENT
• Standardized Test Practice Examples,10, 30
• Multiple Choice, 5, 6, 11, 18, 24, 25, 31,38, 46
• Short Response/Extended Response, 7,12, 20, 26, 27, 32, 33, 40, 48, 51, 58
• Writing/Open-Ended, 5, 10, 12, 18, 19,24, 25, 27, 31, 38, 39, 45, 46, 47, 51, 53
PROBLEM SOLVING
• Mixed Review of Problem Solving,27, 51
• Multiple Representations, 33, 39
• Multi-Step Problems, 6, 11, 19, 27, 40, 51
• Using Alternative Methods, 34
• Real-World Problem Solving Examples,4, 10, 17, 23, 28, 30, 35, 37, 45
Chapter 1 Highlights
Unit 1Equations inOne Variable
Contents ix
Unit 1Equations inOne Variable
Multiplying Real Numbers, p. 90Elevation 5 6416 1 (20.12)(50)
CHAPTER
2
PROBLEM SOLVING
• Mixed Review of Problem Solving,86, 119
• Multiple Representations, 83, 93, 116
• Multi-Step Problems, 69, 78, 86, 107,115, 119
• Using Alternative Methods, 102
• Real-World Problem Solving Examples,65, 76, 81, 90, 98, 104, 111
Chapter 2 Highlights
★ ASSESSMENT
• Standardized Test Practice Examples, 98
• Multiple Choice, 68, 69, 78, 82, 92, 99,106, 107, 108, 114
• Short Response/Extended Response,70, 79, 83, 86, 92, 93, 100, 101, 108, 115,119, 126
• Writing/Open-Ended, 67, 77, 82, 83, 86,91, 99, 106, 107, 113, 114, 119
TECHNOLOGY
At classzone.com:
• Animated Algebra, 63, 73, 80, 90, 93, 98
• @Home Tutor, 62, 69, 78, 83, 92, 100,107, 115, 121
• Online Quiz, 70, 79, 84, 93, 101, 108, 116
• State Test Practice, 86, 119, 129
Properties of Real NumbersPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
2.1 Use Integers and Rational Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
2.2 Add Real Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74Investigating Algebra Activity: Addition of Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
2.3 Subtract Real Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 Spreadsheet Activity Subtract Real Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86
2.4 Multiply Real Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88Investigating Algebra Activity: Multiplication by –1 . . . . . . . . . . . . . . . . . . . . . . . . . . . 87
2.5 Apply the Distributive Property . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102
2.6 Divide Real Numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103
2.7 Find Square Roots and Compare Real Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110Investigating Algebra Activity: Writing Statements in If-Then Form . . . . . . 109Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119
ASSESSMENT
Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84, 101, 116Chapter Summary and Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125
★ Standardized Test Preparation and Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126
Activities . . . . . . . . . . . . . . . . . . . . . . . . . . . 63, 73, 80, 90, 93, 98
x Contents
Unit 1Equations inOne Variable
Solving Equations, p. 1438517 5 2117 1 64d
Solving Linear EquationsPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130
3.1 Solve One-Step Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 Investigating Algebra Activity: Modeling One-Step Equations . . . . . . . . . . . . . 132
3.2 Solve Two-Step Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147
3.3 Solve Multi-Step Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148
3.4 Solve Equations with Variables on Both Sides . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154 Spreadsheet Activity Solve Equations Using Tables . . . . . . . . . . . . . . . . . . . . . . . . 160Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161
3.5 Write Ratios and Proportions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162
3.6 Solve Proportions Using Cross Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 168
3.7 Solve Percent Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 176
3.8 Rewrite Equations and Formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 184Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 190
ASSESSMENT
Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153, 173, 189Chapter Summary and Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197
★ Standardized Test Preparation and Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 198Cumulative Review, Chapters 1–3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 202
Activities . . . . . . . . . . . . 131, 133, 139, 154, 176, 185, 187
CHAPTER
3
TECHNOLOGY
At classzone.com:
• Animated Algebra, 131, 133, 139, 154,176, 185, 187
• @Home Tutor, 130, 139, 145, 152, 158,160, 166, 172, 180, 188, 192
• Online Quiz, 140, 146, 153, 159, 167, 173,181, 189
• State Test Practice, 161, 190, 201
★ ASSESSMENT
• Standardized Test Practice Examples,149, 169
• Multiple Choice, 138, 144, 145, 151, 157,165, 171, 179, 187, 198
• Short Response/Extended Response,139, 140, 145, 146, 151, 152, 159, 161, 166,167, 172, 173, 180, 181, 189, 190
• Writing/Open-Ended, 137, 139, 144, 150,151, 157, 161, 165, 171, 179, 180, 181, 187,188, 190
PROBLEM SOLVING
• Mixed Review of Problem Solving,161, 190
• Multiple Representations, 139, 146, 147,153, 159, 166, 172, 188
• Multi-Step Problems, 140, 146, 161,167, 190
• Using Alternative Methods, 147
• Real-World Problem Solving Examples,137, 143, 150, 155, 164, 170, 178, 186
Chapter 3 Highlights
Contents xi
Graphing Linear Equations, p. 2312x 1 y 5 128
Graphing Linear Equationsand FunctionsPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 204
4.1 Plot Points in a Coordinate Plane. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 206
4.2 Graph Linear Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 215 Graphing Calculator Activity Graph Linear Equations. . . . . . . . . . . . . . . . . . . . . . 222
4.3 Graph Using Intercepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 225Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 233
4.4 Find Slope and Rate of Change . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 235 Investigating Algebra Activity: Slopes of Lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 234
4.5 Graph Using Slope-Intercept Form. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 244 Investigating Algebra Activity: Slope and y-Intercept. . . . . . . . . . . . . . . . . . . . . . . . 243
4.6 Model Direct Variation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 253 Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 260
4.7 Graph Linear Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 262Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 269
ASSESSMENT
Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 232, 250, 268Chapter Summary and Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 270Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 275
★ Standardized Test Preparation and Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 276
Activities . . . . . . . . . . . . 205, 207, 216, 226, 238, 245, 254
CHAPTER
4
PROBLEM SOLVING
• Mixed Review of Problem Solving,233, 269
• Multiple Representations, 211, 221, 230,259, 260
• Multi-Step Problems, 211, 220, 231, 233,241, 269
• Using Alternative Methods, 260, 261
• Real-World Problem Solving Examples,208, 218, 227, 228, 237, 238, 245, 246,255, 256, 265
Chapter 4 Highlights
★ ASSESSMENT
• Standardized Test Practice Examples,215, 262
• Multiple Choice, 209, 219, 220, 230, 239,247, 257, 266, 276
• Short Response/Extended Response,212, 221, 232, 233, 242, 249, 258, 259,267, 268, 269
• Writing/Open-Ended, 209, 210, 214, 219,229, 230, 233, 239, 241, 247, 248, 256, 257,265, 266, 269, 271
TECHNOLOGY
At classzone.com:
• Animated Algebra, 205, 207, 216, 226,238, 245, 254
• @Home Tutor, 204, 210, 211, 220, 222,230, 241, 248, 249, 258, 267, 271
• Online Quiz, 212, 221, 232, 242, 250,259, 268
• Electronic Function Library, 270
• State Test Practice, 233, 269, 279
Unit 2Equations in
Two Variables
xii Contents
Slopes of Lines, p. 32112y 5 27x 1 42
CHAPTER
5
TECHNOLOGY
At classzone.com:• Animated Algebra, 281, 283, 303, 307,
311, 327, 335
• @Home Tutor, 280, 288, 291, 298, 307,315, 323, 330, 333, 339, 340, 342, 345
• Online Quiz, 289, 299, 308, 316, 324,331, 341
• State Test Practice, 317, 343, 353
★ ASSESSMENT
• Standardized Test Practice Examples, 293
• Multiple Choice, 286, 297, 305, 306, 314,322, 323, 329, 339
• Short Response/Extended Response,288, 289, 297, 298, 306, 307, 315, 317, 322,323, 324, 329, 330, 340, 343, 350
• Writing/Open-Ended, 286, 287, 296,297, 305, 314, 317, 322, 323, 328, 329, 338,339, 343, 345
PROBLEM SOLVING
• Mixed Review of Problem Solving,317, 343
• Multiple Representations, 288, 299,315, 340
• Multi-Step Problems, 317, 343
• Using Alternative Methods, 300
• Real-World Problem Solving Examples,285, 294, 295, 304, 313, 321, 326, 327, 337
Chapter 5 Highlights
Unit 2Equations in
Two Variables Writing Linear EquationsPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 280
5.1 Write Linear Equations in Slope-Intercept Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . 283 Investigating Algebra Activity: Modeling Linear Relationships . . . . . . . . . . . . . 282 Graphing Calculator Activity Investigate Families of Lines . . . . . . . . . . . . . . . . 290
5.2 Use Linear Equations in Slope-Intercept Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 292 Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 300
5.3 Write Linear Equations in Point-Slope Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 302
5.4 Write Linear Equations in Standard Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 311Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 317
5.5 Write Equations of Parallel and Perpendicular Lines . . . . . . . . . . . . . . . . . . . . . . 319 Investigating Algebra Activity:If-Then Statements and Their Converses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 318
5.6 Fit a Line to Data. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 325 Graphing Calculator Activity Perform Linear Regression . . . . . . . . . . . . . . . . . 332
5.7 Predict with Linear Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 335 Investigating Algebra Activity: Collecting and Organizing Data . . . . . . . . . . . . 334 Internet Activity Model Data from the Internet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 342Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 343
ASSESSMENT
Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 316, 341Chapter Summary and Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 344Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 349
★ Standardized Test Preparation and Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 350
Activities . . . . . . . . . . . . 281, 283, 303, 307, 311, 327, 335
Contents xiii
Graphing Inequalities, p. 356T ≤ 134
CHAPTER
6
PROBLEM SOLVING
• Mixed Review of Problem Solving,389, 413
• Multiple Representations, 361, 367, 374,386, 402, 411
• Multi-Step Problems, 360, 389, 403,411, 413
• Using Alternative Methods, 375, 376
• Real-World Problem Solving Examples,358, 365, 371, 383, 392, 400, 408
Chapter 6 Highlights
★ ASSESSMENT
• Standardized Test Practice Examples,365, 405
• Multiple Choice, 360, 372, 373, 385, 386,393, 394, 401, 409, 411
• Short Response/Extended Response,361, 368, 373, 374, 387, 389, 395, 402, 403,411, 412, 413, 420
• Writing/Open-Ended, 359, 360, 366,372, 384, 389, 393, 401, 409, 410, 413
TECHNOLOGY
At classzone.com:
• Animated Algebra, 355, 358, 364, 382,387, 390, 391, 399, 407
• @Home Tutor, 354, 360, 367, 373, 385,388, 394, 402, 410, 415
• Online Quiz, 361, 368, 374, 387, 395,403, 412
• State Test Practice, 389, 413, 423
Unit 2Equations in
Two Variables Solving and Graphing LinearInequalitiesPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 354
6.1 Solve Inequalities Using Addition and Subtraction . . . . . . . . . . . . . . . . . . . . . . . . . 356
6.2 Solve Inequalities Using Multiplication and Division . . . . . . . . . . . . . . . . . . . . . . . 363 Investigating Algebra Activity:Inequalities with Negative Coeffi cients. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 362
6.3 Solve Multi-Step Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 369 Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 375
6.4 Solve Compound Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 380 Investigating Algebra Activity: Statements with And and Or. . . . . . . . . . . . . . . . 379 Graphing Calculator Activity Solve Compound Inequalities . . . . . . . . . . . . . . 388Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 389
6.5 Solve Absolute Value Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 390
6.6 Solve Absolute Value Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 398
6.7 Graph Linear Inequalities in Two Variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 405 Investigating Algebra Activity: Linear Inequalities in Two Variables . . . . . . 404Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 413
ASSESSMENT
Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 368, 387, 412Chapter Summary and Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 414Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 419
★ Standardized Test Preparation and Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 420
Activities 355, 358, 364, 382, 387, 390, 391, 399, 407
xiv Contents
Solving Linear Systems, p. 446x 2 y 5 4, x 1 y 5 6
Systems of Equations andInequalitiesPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 424
7.1 Solve Linear Systems by Graphing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 427 Investigating Algebra Activity: Solving Linear Systems Using Tables . . . . . 426 Graphing Calculator Activity Solve Linear Systems by Graphing. . . . . . . . . 434
7.2 Solve Linear Systems by Substitution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 435 Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 442
7.3 Solve Linear Systems by Adding or Subtracting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 444 Investigating Algebra Activity: Linear Systems and Elimination . . . . . . . . . . . 443
7.4 Solve Linear Systems by Multiplying First . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 451Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 458
7.5 Solve Special Types of Linear Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 459
7.6 Solve Systems of Linear Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 466Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 473
ASSESSMENT
Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 441, 457, 472Chapter Summary and Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 474Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 479
★ Standardized Test Preparation and Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 480Cumulative Review, Chapters 1–7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 484
Activities . . . . . . 425, 428, 435, 441, 446, 452, 459, 466
CHAPTER
7
TECHNOLOGY
At classzone.com:
• Animated Algebra, 425, 428, 435, 441,446, 452, 459, 466
• @Home Tutor, 424, 432, 434, 440, 449,456, 464, 471, 475
• Online Quiz, 433, 441, 450, 457, 465, 472
• State Test Practice, 458, 473, 483
★ ASSESSMENT
• Standardized Test Practice Examples,429, 453
• Multiple Choice, 431, 432, 439, 447, 455,463, 469, 470, 480
• Short Response/Extended Response,432, 440, 441, 448, 450, 456, 458, 465,470, 471, 473
• Writing/Open-Ended, 430, 431, 439,440, 447, 454, 455, 456, 458, 462, 464,469, 473
PROBLEM SOLVING
• Mixed Review of Problem Solving,458, 473
• Multiple Representations, 433, 442,449, 456
• Multi-Step Problems, 440, 450, 458,465, 473
• Using Alternative Methods, 442
• Real-World Problem Solving Examples,430, 438, 446, 453, 461, 468
Chapter 7 Highlights
Unit 2Equations in
Two Variables
Contents xv
Scientifi c Notation, p. 5169.065 3 109 miles
CHAPTER
8
PROBLEM SOLVING
• Mixed Review of Problem Solving,511, 541
• Multiple Representations, 493, 500, 507,517, 525, 528, 537
• Multi-Step Problems, 493, 511, 517, 525,538, 541
• Using Alternative Methods, 528, 529
• Real-World Problem Solving Examples,491, 498, 505, 514, 522, 523, 534
Chapter 8 Highlights
★ ASSESSMENT
• Standardized Test Practice Examples,505, 523
• Multiple Choice, 492, 499, 506, 507, 515,516, 524, 526, 535, 536, 548
• Short Response/Extended Response,494, 501, 507, 508, 511, 516, 517, 526,537, 541
• Writing/Open-Ended, 492, 493, 498,499, 506, 511, 515, 516, 523, 524, 535, 536,541, 543
TECHNOLOGY
At classzone.com:
• Animated Algebra, 487, 505, 512, 522,534, 536
• @Home Tutor, 486, 493, 500, 507, 516,519, 525, 537, 543
• Online Quiz, 494, 501, 508, 518, 527, 538
• State Test Practice, 511, 541, 551
Unit 3Exponential and
Quadratic Functions Exponents and ExponentialFunctionsPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 486
8.1 Apply Exponent Properties Involving Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 489 Investigating Algebra Activity: Products and Powers . . . . . . . . . . . . . . . . . . . . . . . . 488
8.2 Apply Exponent Properties Involving Quotients . . . . . . . . . . . . . . . . . . . . . . . . . . . . 495
8.3 Defi ne and Use Zero and Negative Exponents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 503 Investigating Algebra Activity: Zero and Negative Exponents. . . . . . . . . . . . . . 502Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 511
8.4 Use Scientifi c Notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 512 Graphing Calculator Activity Use Scientifi c Notation . . . . . . . . . . . . . . . . . . . . . . . 519
8.5 Write and Graph Exponential Growth Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . 520 Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 528
8.6 Write and Graph Exponential Decay Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 531 Investigating Algebra Activity: Exponential Models . . . . . . . . . . . . . . . . . . . . . . . . . . 530Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 541
ASSESSMENT
Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 501, 518, 538Chapter Summary and Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 542Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 547
★ Standardized Test Preparation and Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 548
Activities . . . . . . . . . . . . 487, 491, 505, 512, 522, 534, 536
xvi Contents
Subtracting Polynomials, p. 558B 5 20.0262t3 1 0.376t2 2 0.574t 1 9.67
CHAPTER
9
TECHNOLOGY
At classzone.com:
• Animated Algebra, 553, 555, 582, 592,598, 601
• @Home Tutor, 552, 558, 560, 567, 573,579, 588, 598, 604, 612, 616
• Online Quiz, 559, 568, 574, 580, 589,599, 605, 613
• State Test Practice, 581, 614, 625
★ ASSESSMENT
• Standardized Test Practice Examples,564, 596
• Multiple Choice, 557, 565, 566, 572, 578,580, 586, 589, 596, 597, 603, 610
• Short Response/Extended Response,558, 559, 567, 568, 573, 574, 579, 581, 587,588, 597, 598, 604, 612, 614, 622
• Writing/Open-Ended, 557, 565, 572,578, 581, 586, 596, 603, 610, 611, 614, 616
PROBLEM SOLVING
• Mixed Review of Problem Solving,581, 614
• Multiple Representations, 573, 580,589, 598
• Multi-Step Problems, 581, 614
• Using Alternative Methods, 590
• Real-World Problem Solving Examples,556, 564, 571, 577, 585, 595, 602, 609
Chapter 9 Highlights
Unit 3Exponential and
Quadratic Functions Polynomials and FactoringPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 552
9.1 Add and Subtract Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 554 Graphing Calculator Activity Graph Polynomial Functions . . . . . . . . . . . . . . . 560
9.2 Multiply Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 562 Investigating Algebra Activity: Multiplication with Algebra Tiles . . . . . . . . . . 561
9.3 Find Special Products of Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 569
9.4 Solve Polynomial Equations in Factored Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 575Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 581
9.5 Factor x21 bx 1 c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 583 Investigating Algebra Activity: Factorization with Algebra Tiles . . . . . . . . . . . 582
Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 590
9.6 Factor ax2 1 bx 1 c. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 593 Investigating Algebra Activity: More Factorization with Algebra Tiles . . . . 592
9.7 Factor Special Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 600
9.8 Factor Polynomials Completely. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 606Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 614
ASSESSMENT
Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 574, 599, 613Chapter Summary and Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 615Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 621
★ Standardized Test Preparation and Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 622
Activities . . . . . . . . . . . . . . . . . . 553, 555, 582, 592, 598, 601
Contents xvii
Solving Quadratic Equations, p. 648y 5 20.04x2 1 1.2x
CHAPTER
10
PROBLEM SOLVING
• Mixed Review of Problem Solving,661, 694
• Multiple Representations, 658, 659, 667,676, 690
• Multi-Step Problems, 658, 661, 668, 675,683, 694
• Using Alternative Methods, 659
• Real-World Problem Solving Examples,631, 637, 646, 654, 665, 672, 680, 687
Chapter 10 Highlights
★ ASSESSMENT
• Standardized Test Practice Examples,631, 671
• Multiple Choice, 632, 633, 638, 647, 655,657, 666, 674, 681, 688, 690
• Short Response/Extended Response,634, 640, 648, 649, 656, 657, 661, 668,676, 682, 690, 694
• Writing/Open-Ended, 632, 638, 639,647, 655, 656, 661, 666, 667, 674, 681, 682,688, 694
TECHNOLOGY
At classzone.com:
• Animated Algebra, 627, 634, 636, 642,662, 668, 672, 684
• @Home Tutor, 626, 633, 639, 648, 651,657, 667, 675, 682, 689, 690, 692, 696
• Online Quiz, 634, 640, 649, 658, 668,676, 683, 691
• Electronic Function Library, 695
• State Test Practice, 661, 694, 705
Unit 3Exponential and
Quadratic Functions Quadratic Equations and FunctionsPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 626
10.1 Graph y 5 ax2 1 c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 628
10.2 Graph y 5 ax2 1 bx 1 c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 635
10.3 Solve Quadratic Equations by Graphing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 643
Graphing Calculator Activity Find Minimums, Maximums, and Zeros. . . 650
10.4 Use Square Roots to Solve Quadratic Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 652Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 659Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 661
10.5 Solve Quadratic Equations by Completing the Square . . . . . . . . . . . . . . . . . . . . 663 Investigating Algebra Activity: Completing the Square—Algebra Tiles . . . . 662
10.6 Solve Quadratic Equations by the Quadratic Formula . . . . . . . . . . . . . . . . . . . . . 671
10.7 Interpret the Discriminant . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 678 Investigating Algebra Activity: The Discriminant . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 677
10.8 Compare Linear, Exponential, and Quadratic Models . . . . . . . . . . . . . . . . . . . . . 684 Graphing Calculator Activity Perform Regressions . . . . . . . . . . . . . . . . . . . . . . . . . 692Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 694
ASSESSMENT
Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 649, 676, 691Chapter Summary and Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 695Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 701
★ Standardized Test Preparation and Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 702Cumulative Review, Chapters 1–10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 706
Activities . . . . . . 627, 634, 636, 642, 662, 668, 672, 684
xviii Contents
Solving Radical Equations, p. 731s 5 1.34Ï
}
l
CHAPTER
11
TECHNOLOGY
At classzone.com:
• Animated Algebra, 709, 711, 719, 722,731, 737, 746
• @Home Tutor, 708, 715, 717, 725, 733,741, 748, 749, 754, 755
• Online Quiz, 716, 726, 734, 742, 750
• State Test Practice, 735, 752, 761
★ ASSESSMENT
• Standardized Test Practice Examples,738, 746
• Multiple Choice, 713, 714, 723, 732, 740,741, 747, 748
• Short Response/Extended Response,716, 726, 734, 735, 742, 749, 752
• Writing/Open-Ended, 713, 723, 724,732, 733, 735, 740, 741, 747, 748, 752
PROBLEM SOLVING
• Mixed Review of Problem Solving,735, 752
• Multiple Representations, 725
• Multi-Step Problems, 715, 725, 733, 735,748, 752
• Using Alternative Methods, 751
• Real-World Problem Solving Examples,713, 722, 731, 738, 739, 746
Chapter 11 Highlights
Unit 4Radical and
Rational Functions Radicals and GeometryConnectionsPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 708
11.1 Graph Square Root Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 710 Graphing Calculator Activity Graph Square Root Functions . . . . . . . . . . . . . . 717
11.2 Simplify Radical Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 719 Investigating Algebra Activity: Properties of Radicals . . . . . . . . . . . . . . . . . . . . . . . 718
11.3 Solve Radical Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 729Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 735
11.4 Apply the Pythagorean Theorem and Its Converse . . . . . . . . . . . . . . . . . . . . . . . . 737 Investigating Algebra Activity: The Pythagorean Theorem . . . . . . . . . . . . . . . . 736
11.5 Apply the Distance and Midpoint Formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 744 Investigating Algebra Activity: Distance in the Coordinate Plane . . . . . . . . . . 743
Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 751Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 752
ASSESSMENT
Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 734, 750Chapter Summary and Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 753Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 757
★ Standardized Test Preparation and Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 758
Activities . . . . . . . . . . . . 709, 711, 719, 722, 731, 737, 746
Contents xix
PROBLEM SOLVING
• Mixed Review of Problem Solving,801, 829
• Multiple Representations, 771, 781,790, 808
• Multi-Step Problems, 801, 818, 825, 829
• Using Alternative Methods, 827
• Real-World Problem Solving Examples,768, 778, 787, 797, 805, 815, 822
Chapter 12 Highlights
★ ASSESSMENT
• Multiple Choice, 769, 777, 779, 788, 789,791, 798, 806, 807, 817, 824, 836
• Short Response/Extended Response,771, 772, 781, 790, 791, 800, 801, 808, 809,818, 819, 825, 829
• Writing/Open-Ended, 769, 779, 780,788, 789, 797, 798, 801, 806, 807, 816,823, 829
TECHNOLOGY
At classzone.com:
• Animated Algebra, 763, 766, 777, 783,791, 804, 814
• @Home Tutor, 762, 770, 780, 789, 793,799, 807, 808, 817, 824, 831
• Online Quiz, 772, 782, 791, 800, 809,819, 826
• State Test Practice, 801, 829, 839
Dividing Rational Expressions, p. 807
T 5 100 1 2.2x}1 2 0.014x
CHAPTER
12Unit 4
Radical andRational Functions Rational Equations and
FunctionsPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 762
12.1 Model Inverse Variation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 765 Investigating Algebra Activity:Relationships Between Dimensions of a Rectangle . . . . . . . . . . . . . . . . . . . . . . . . . . 764
12.2 Graph Rational Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 775 Investigating Algebra Activity: Graphing y 5
a}x 2 h
1 k . . . . . . . . . . . . . . . . . . . . . . 773
12.3 Divide Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 784 Investigating Algebra Activity: Dividing Polynomials—Algebra Tiles . . . . . . 783 Graphing Calculator Activity Find Asymptotes of Graphs . . . . . . . . . . . . . . . . . 792
12.4 Simplify Rational Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 794Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 801
12.5 Multiply and Divide Rational Expressions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 802
12.6 Add and Subtract Rational Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 812
12.7 Solve Rational Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 820Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 827Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 829
ASSESSMENT
Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 782, 800, 826Chapter Summary and Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 830Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 835
★ Standardized Test Preparation and Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 836
Activities . . . . . . . . . . . . . . . . . . . 763, 766, 777, 783, 791, 804, 814
xx Contents
Using Permutations, p. 855
Probability 5 5P5}7P7
CHAPTER
13
TECHNOLOGY
At classzone.com:
• Animated Algebra, 841, 845, 848, 856,875, 887
• @Home Tutor, 840, 847, 854, 859, 860,866, 874, 877, 878, 884, 886, 890, 891,893, 896
• Online Quiz, 848, 855, 859, 867, 874,878, 885, 892
• State Test Practice, 870, 894, 905
★ ASSESSMENT
• Standardized Test Practice Examples,845, 889
• Multiple Choice, 846, 847, 854, 858, 864,865, 873, 877, 883, 890
• Short Response/Extended Response,847, 848, 855, 858, 859, 866, 870, 874, 877,878, 885, 891, 894
• Writing/Open-Ended, 846, 853, 858,864, 865, 870, 873, 877, 883, 884, 889,894, 896
PROBLEM SOLVING
• Mixed Review of Problem Solving,870, 894
• Multiple Representations, 854, 866
• Multi-Step Problems, 870, 894
• Using Alternative Methods, 868
• Real-World Problem Solving Examples,844, 852, 853, 857, 863, 871, 872, 876,882, 888, 889
Chapter 13 Highlights
Unit 4Radical and
Rational Functions Probability and Data AnalysisPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 840
13.1 Find Probabilities and Odds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 843 Investigating Algebra Activity: Find a Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . 842
13.2 Find Probabilities Using Permutations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 851
13.3 Find Probabilities Using Combinations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 856 Graphing Calculator Activity Find Permutations and Combinations . . . . 860
13.4 Find Probabilities of Compound Events . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 861 Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 868
Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 870
13.5 Analyze Surveys and Samples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 871
13.6 Use Measures of Central Tendency and Dispersion . . . . . . . . . . . . . . . . . . . . . . . . 875
13.7 Interpret Stem-and-Leaf Plots and Histograms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 881 Graphing Calculator Activity Draw Histograms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 886
13.8 Interpret Box-and-Whisker Plots. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 887 Graphing Calculator Activity Draw Box-and-Whisker Plots . . . . . . . . . . . . . . 893Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 894
ASSESSMENT
Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 867, 892Chapter Summary and Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 895Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 901
★ Standardized Test Preparation and Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 902Cumulative Review, Chapters 1–13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 906
Activities . . . . . . . . . . . . . . . . . . 841, 845, 848, 856, 875, 887
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