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hmhco.com
SAXON HOMESCHOOL
Middle Grades Sampler
Math 5/4, Math 6/5, Math 7/6, Math 8/7, and Algebra 1/2
Math 5/4, Math 6/5, Math 7/6, Math 8/7, and Algebra ½ form a series of courses to move
students from primary grades to algebra. Each course contains a series of daily lessons
covering all areas of general math. Each lesson presents a small portion of math content
(called an increment) that builds on prior knowledge and understanding.
Students are not required or expected to grasp a concept fully the first time it is presented.
After an increment is introduced, it becomes a part of the student’s daily work for the rest
of the year. Students will have many opportunities to gain understanding and to achieve
mastery. This cumulative, continual practice ensures that students will retain what they
have learned.
This sampler includes materials that are representative of the Saxon math program,
including samples of Lessons and Investigations.
We hope these materials will assist you in your evaluation of the Saxon program.
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Table of Contents
Math 5/4, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
Lesson 40, Capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
Lesson 57, Rate Word Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
Lesson 83, Sales Tax • Change Back . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
Investigation 8, Graphing Relationships . . . . . . . . . . . . . . . . . . . . . . . . . . 17
Math 6/5, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
Lesson 53, Perimeter • Measures of a Circle . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
Lesson 80, Prime and Composite Numbers . . . . . . . . . . . . . . . . . . . . . . . . 26
Lesson 91, Simplifying Improper Fractions . . . . . . . . . . . . . . . . . . . . . . . . 31
Investigation 11, Scale Drawings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
Math 7/6, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
Lesson 62, Writing Mixed Numbers as Improper Fractions . . . . . . . . . . . . 40
Lesson 89, Estimating Square Roots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
Lesson 104, Algebraic Addition Activity . . . . . . . . . . . . . . . . . . . . . . . . . . 52
Investigation 7, The Coordinate Plane . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
Math 8/7, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63
Lesson 35, Adding, Subtracting, Multiplying, and Dividing Decimal
Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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Lesson 65, Ratio Problems Involving Totals . . . . . . . . . . . . . . . . . . . . . . . 71
Lesson 107, Slope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
Investigation 5, Creating Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86
Algebra ½, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90
Lesson 59. Proportions with Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91
Lesson 75, Implied Ratios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94
Lesson 105, Evaluating Powers of Negative Bases . . . . . . . . . . . . . . . . . . 98
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Math 5/4 Table of Contents
Lesson 40, Capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
Lesson 57, Rate Word Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
Lesson 83, Sales Tax • Change Back . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
Investigation 8, Graphing Relationships . . . . . . . . . . . . . . . . . . . . . . . . . . 17
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Math 5/4, Lesson 40 Sample taken from Math 5/4 (Third Edition), page 176
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Math 5/4, Lesson 40 Sample taken from Math 5/4 (Third Edition), page 177
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Math 5/4, Lesson 40 Sample taken from Math 5/4 (Third Edition), page 178
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Math 5/4, Lesson 40 Sample taken from Math 5/4 (Third Edition), page 179
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Math 5/4, Lesson 40 Sample taken from Math 5/4 (Third Edition), page 180
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Math 5/4, Lesson 57 Sample taken from Math 5/4 (Third Edition), page 264
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Math 5/4, Lesson 57 Sample taken from Math 5/4 (Third Edition), page 265
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Math 5/4, Lesson 57 Sample taken from Math 5/4 (Third Edition), page 266
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Math 5/4, Lesson 57 Sample taken from Math 5/4 (Third Edition), page 267
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Math 5/4, Lesson 83 Sample taken from Math 5/4 (Third Edition), page 388
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Math 5/4, Lesson 83 Sample taken from Math 5/4 (Third Edition), page 389
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Math 5/4, Lesson 83 Sample taken from Math 5/4 (Third Edition), page 390
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Math 5/4, Lesson 83 Sample taken from Math 5/4 (Third Edition), page 391
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Math 5/4, Investigation 8 Sample taken from Math 5/4 (Third Edition), page 376
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Math 5/4, Investigation 8 Sample taken from Math 5/4 (Third Edition), page 377
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Math 5/4, Investigation 8 Sample taken from Math 5/4 (Third Edition), page 378
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Math 6/5 Table of Contents
Lesson 53, Perimeter • Measures of a Circle . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
Lesson 80, Prime and Composite Numbers . . . . . . . . . . . . . . . . . . . . . . . . 26
Lesson 91, Simplifying Improper Fractions . . . . . . . . . . . . . . . . . . . . . . . . 31
Investigation 11, Focus On Scale Drawings . . . . . . . . . . . . . . . . . . . . . . . . 36
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Math 6/5, Lesson 53 Sample taken from Math 6/5 (Third Edition), page 268
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Math 6/5, Lesson 53 Sample taken from Math 6/5 (Third Edition), page 269
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Math 6/5, Lesson 53 Sample taken from Math 6/5 (Third Edition), page 270
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Math 6/5, Lesson 53 Sample taken from Math 6/5 (Third Edition), page 271
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Math 6/5, Lesson 53 Sample taken from Math 6/5 (Third Edition), page 272
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Math 6/5, Lesson 80 Sample taken from Math 6/5 (Third Edition), page 412
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Math 6/5, Lesson 80 Sample taken from Math 6/5 (Third Edition), page 413
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Math 6/5, Lesson 80 Sample taken from Math 6/5 (Third Edition), page 414
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Math 6/5, Lesson 80 Sample taken from Math 6/5 (Third Edition), page 415
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Math 6/5, Lesson 80 Sample taken from Math 6/5 (Third Edition), page 416
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Math 6/5, Lesson 91 Sample taken from Math 6/5 (Third Edition), page 476
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Math 6/5, Lesson 91 Sample taken from Math 6/5 (Third Edition), page 477
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Math 6/5, Lesson 91 Sample taken from Math 6/5 (Third Edition), page 478
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Math 6/5, Lesson 91 Sample taken from Math 6/5 (Third Edition), page 479
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Math 6/5, Lesson 91 Sample taken from Math 6/5 (Third Edition), page 480
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Math 6/5, Investigation 11 Sample taken from Math 6/5 (Third Edition), page 573
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Math 6/5, Investigation 11 Sample taken from Math 6/5 (Third Edition), page 574
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Math 6/5, Investigation 11 Sample taken from Math 6/5 (Third Edition), page 575
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Math 7/6 Table of Contents
Lesson 62, Writing Mixed Numbers as Improper Fractions . . . . . . . . . . . . 40
Lesson 89, Estimating Square Roots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
Lesson 104, Algebraic Addition Activity . . . . . . . . . . . . . . . . . . . . . . . . . . 52
Investigation 7, The Coordinate Plane . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
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Math 7/6, Lesson 62 Sample taken from Math 7/6 (Fourth Edition), page 331
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Math 7/6, Lesson 62 Sample taken from Math 7/6 (Fourth Edition), page 332
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Math 7/6, Lesson 62 Sample taken from Math 7/6 (Fourth Edition), page 333
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Math 7/6, Lesson 62 Sample taken from Math 7/6 (Fourth Edition), page 334
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Math 7/6, Lesson 62 Sample taken from Math 7/6 (Fourth Edition), page 335
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Math 7/6, Lesson 62 Sample taken from Math 7/6 (Fourth Edition), page 336
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Math 7/6, Lesson 89 Sample taken from Math 7/6 (Fourth Edition), page 473
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Math 7/6, Lesson 89 Sample taken from Math 7/6 (Fourth Edition), page 474
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Math 7/6, Lesson 89 Sample taken from Math 7/6 (Fourth Edition), page 475
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Math 7/6, Lesson 89 Sample taken from Math 7/6 (Fourth Edition), page 476
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Math 7/6, Lesson 89 Sample taken from Math 7/6 (Fourth Edition), page 477
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Math 7/6, Lesson 89 Sample taken from Math 7/6 (Fourth Edition), page 478
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Math 7/6, Lesson 104 Sample taken from Math 7/6 (Fourth Edition), page 561
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Math 7/6, Lesson 104 Sample taken from Math 7/6 (Fourth Edition), page 562
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Math 7/6, Lesson 104 Sample taken from Math 7/6 (Fourth Edition), page 563
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Math 7/6, Lesson 104 Sample taken from Math 7/6 (Fourth Edition), page 564
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Math 7/6, Lesson 104 Sample taken from Math 7/6 (Fourth Edition), page 565
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Math 7/6, Lesson 104 Sample taken from Math 7/6 (Fourth Edition), page 566
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Math 7/6, Investigation 7 Sample taken from Math 7/6 (Fourth Edition), page 374
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Math 7/6, Investigation 7 Sample taken from Math 7/6 (Fourth Edition), page 375
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Math 7/6, Investigation 7 Sample taken from Math 7/6 (Fourth Edition), page 376
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Math 7/6, Investigation 7 Sample taken from Math 7/6 (Fourth Edition), page 377
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Math 7/6, Investigation 7 Sample taken from Math 7/6 (Fourth Edition), page 378
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Math 8/7 Table of Contents
Lesson 35, Adding, Subtracting, Multiplying, and Dividing Decimal
Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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Lesson 65, Ratio Problems Involving Totals . . . . . . . . . . . . . . . . . . . . . . . 71
Lesson 107, Slope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
Investigation 5, Creating Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86
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Math 8/7, Lesson 35 Sample taken from Math 8/7 (Third Edition), page 235
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Math 8/7, Lesson 35 Sample taken from Math 8/7 (Third Edition), page 236
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Math 8/7, Lesson 35 Sample taken from Math 8/7 (Third Edition), page 237
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Math 8/7, Lesson 35 Sample taken from Math 8/7 (Third Edition), page 238
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Math 8/7, Lesson 35 Sample taken from Math 8/7 (Third Edition), page 239
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Math 8/7, Lesson 35 Sample taken from Math 8/7 (Third Edition), page 240
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Math 8/7, Lesson 35 Sample taken from Math 8/7 (Third Edition), page 241
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Math 8/7, Lesson 65 Sample taken from Math 8/7 (Third Edition), page 445
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Math 8/7, Lesson 65 Sample taken from Math 8/7 (Third Edition), page 446
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Math 8/7, Lesson 65 Sample taken from Math 8/7 (Third Edition), page 447
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Math 8/7, Lesson 65 Sample taken from Math 8/7 (Third Edition), page 448
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Math 8/7, Lesson 65 Sample taken from Math 8/7 (Third Edition), page 449
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Math 8/7, Lesson 65 Sample taken from Math 8/7 (Third Edition), page 450
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Math 8/7, Lesson 107 Sample taken from Math 8/7 (Third Edition), page 742
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Math 8/7, Lesson 107 Sample taken from Math 8/7 (Third Edition), page 743
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Math 8/7, Lesson 107 Sample taken from Math 8/7 (Third Edition), page 744
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Math 8/7, Lesson 107 Sample taken from Math 8/7 (Third Edition), page 745
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Math 8/7, Lesson 107 Sample taken from Math 8/7 (Third Edition), page 746
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Math 8/7, Lesson 107 Sample taken from Math 8/7 (Third Edition), page 747
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Math 8/7, Lesson 107 Sample taken from Math 8/7 (Third Edition), page 748
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Math 8/7, Lesson 107 Sample taken from Math 8/7 (Third Edition), page 749
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Math 8/7, Lesson 107 Sample taken from Math 8/7 (Third Edition), page 750
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Math 8/7, Investigation 5 Sample taken from Math 8/7 (Third Edition), page 346
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Math 8/7, Investigation 5 Sample taken from Math 8/7 (Third Edition), page 347
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Math 8/7, Investigation 5 Sample taken from Math 8/7 (Third Edition), page 348
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Math 8/7, Investigation 5 Sample taken from Math 8/7 (Third Edition), page 349
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Algebra 1/2 Table of Contents
Lesson 59. Proportions with Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91
Lesson 75, Implied Ratios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94
Lesson 105, Evaluating Powers of Negative Bases . . . . . . . . . . . . . . . . . . 98
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Algebra ½, Lesson 59 Sample taken from Algebra ½ (Third Edition), page 189
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Algebra ½, Lesson 59 Sample taken from Algebra ½ (Third Edition), page 190
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Algebra ½, Lesson 59 Sample taken from Algebra ½ (Third Edition), page 191
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Algebra ½, Lesson 75 Sample taken from Algebra ½ (Third Edition), page 237
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Algebra ½, Lesson 75 Sample taken from Algebra ½ (Third Edition), page 238
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Algebra ½, Lesson 75 Sample taken from Algebra ½ (Third Edition), page 239
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Algebra ½, Lesson 75 Sample taken from Algebra ½ (Third Edition), page 240
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Algebra ½, Lesson 105 Sample taken from Algebra ½ (Third Edition), page 326
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Algebra ½, Lesson 105 Sample taken from Algebra ½ (Third Edition), page 327
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Algebra ½, Lesson 105 Sample taken from Algebra ½ (Third Edition), page 328
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