Triangle Inequality Theorem, 205
trigonometric ratios
cosine, 645
defined, 645
finding, 646-647
in right triangles, 645
sine, 645
tangent, 645
trinomials
factoring, 512-514, 518-520,
523-526
of the form ax2 + bx + c, 518-520
of the form x2 + bx + c, 512-514
multiplying a binomial by, 501
multiplying a monomial by, 492
perfect-square, 523
in rational expressions, 665, 671
with two variables, 514
two-step equations, 88-90
Two-Way Frequency Tables, 760
u
uniform histogram, 733
union, of two sets, 214-215, 216-218
unit analysis, 117
Unit Analysis, 122-123
unit rates, 116, 117
units, 117, 118
univariate, 754
universal set, 196
unlike radicals, 626
U.S. history, 86
using diagrams, 495
Using Estimation, 800
Using Models to Factor, 511
Using Models to Multiply, 497
Using Residuals, 344-345
Using Tables to Solve Equations, 59V
Variable, as Big Idea, 3, 67, 68 , 163,
221, 222
variable(s)
on both sides of an equation,
102-104
in data sets, 754
defined, 4, 69
dependent, 240
in direct variation equations, 301-302,
303
eliminating, 381
in equations, 53-55, 61-62, 101,
102-104
independent, 240, 241, 249, 255, 294
in like terms, 48
in linear equations, 308
in linear inequalities, 394-397
substituting numbers for, 12
Venn diagram
of disjoint sets, 215
drawing, 216, 217
of intersection of sets, 216-217
of sets, 196, 215-217
of union of two sets, 214, 215
vertex of a parabola, 547, 604
vertical asymptote, 706-707
vertical lines, 296, 323, 330, 331, 395
vertical line test, 269
vertical motion model, 555-556
applying, 605, 607
vertical translations, 347
Vocabulary
Chapter Vocabulary, 68 , 152, 22 2 ,
283, 287, 321, 353, 408, 474, 535,
603, 653, 715, 786
exercises, 7, 13, 20, 26, 33, 42, 49,
56, 64, 85, 105, 112, 115, 119,
127, 133, 141, 148, 167, 197, 204,
218, 243, 249, 252, 257, 264, 271,
277, 297, 304, 311, 318, 325, 333,
340, 357, 367, 375, 381, 390, 397,
402, 421, 436, 442, 456, 463, 489,
531, 549, 563, 570, 579, 586, 616,
623, 629, 636, 641, 649, 667, 681,
695, 702, 710, 729, 735, 742, 749,
756, 765, 772, 780
Glossary, 821-862
Lesson Vocabulary, 4, 10, 16, 23, 30,
38, 46, 53, 61, 81, 102, 109, 116,
124, 130, 144, 164, 171, 194, 200,
214, 240, 246, 253, 268, 274, 294,
301, 308, 315, 322, 330, 336, 346,
364, 372, 378, 394, 400, 453, 460,
467, 486, 523, 529, 546, 561, 568,
576, 582, 614, 619, 626, 633, 639,
645, 664, 670, 691, 698, 705, 726,
732, 738, 746, 753, 762, 769, 776
Looking Ahead Vocabulary, 1, 77, 161,
231, 291, 357, 415, 483, 543, 611,
661, 723
Vocabulary Audio Online, 2, 78, 162,
232, 292, 362, 416, 484, 544, 612,
662, 724
Vocabulary Builder, 73, 158, 228,
288, 358, 412, 480, 540, 608, 658,
720
volume
of cone, 160
of cube, 414
of cylinder, 14, 265, 496, 533formulas for, 147, 150, 160, 250, 265,
496, 509
of prism, 147, 150, 502, 666
of sphere, 250, 509w
whole numbers
as inequality solutions, 180
as subset of rational numbers, 18
window key, of graphing calculator,
59, 260
work backward, 84, 202
write an equation, 57, 62, 95, 103,
107, 211, 242, 263, 388, 557,
578, 600, 621, 668 , 688 , 7 7 2 , 775,
779
writing
algebraic expressions, 4-5
direct variation equations, 303
direct variation from tables, 303
equations, 54
equations from graphs, 309
equations from two points, 310
equations in point-slope form, 316,
317, 325, 331
equations in slope-intercept form, 309,
325, 331
equations in standard form, 324, 325
equations of direct variation, 302
equations of horizontal translations,
348
equations of parallel lines, 331
equations of perpendicular lines,
332-333
equations of trend lines, 338
equations of vertical translations, 347
equivalent expressions, 25
expressions, 12, 25
fractions using Distributive Property, 47
function rules, 262-263, 264
inequalities, 164, 166, 173, 187, 218
linear inequalities from graphs, 397
linear inequalities to graphs, 396
quadratic equations, 573-574
radical expressions, 621
rule describing nonlinear functions, 249
rules for sequences, 276
system of linear equations, 365
system of linear inequalities, 402
system of linear inequalities from
graphs, 401
Writing exercises, 14, 21, 27, 34, 35,
43, 45, 52, 57, 73, 86 , 9 2 , 9 9 , 105,
114, 115, 135, 142, 148, 149, 157,
169, 174, 191, 204, 210, 219, 227,
250, 252, 258, 266, 287, 305, 311,
313, 321, 326, 342, 344, 349, 357,
367, 376, 377, 381, 382, 386, 397,
398, 402, 404, 429, 444, 446, 458,