solving using reciprocals, 84
solving using subtraction, 82
solving using the Distributive Property,
96
in standard form, 324, 325
from tables, 317-318
of trend lines, 338
from two points, 310
two-step, 88-90
with two terms in the numerator, 90
using as a model, 89
using to extend patterns, 63
with variables on both sides, 101 ,
102-108
of vertical translations, 347
writing, 54
Equivalence, as Big Idea, 79, 151, 152,
163, 221, 222, 417, 473, 474, 485,
534, 535, 613, 652, 653, 663, 714,
715
equivalent equations, 81
equivalent expressions
deductive reasoning to solve, 25
defined, 23
writing, 25
equivalent inequalities, 171
error
greatest possible, 147
percent, 146
relative, 146
Error Analysis exercises, 8 , 1 3 ,2 1 ,2 7 ,
33 , 34 , 44 , 51 , 57 , 73, 86 , 92, 99,
107, 113, 123, 128, 135, 149, 169,
176, 181, 189, 192, 193, 197, 204,
212, 220, 238, 244, 249, 257, 258,
264, 271, 277, 297, 305, 313, 327,
340, 348, 368, 376, 383, 386, 392,
398, 404, 411, 421, 429, 436, 444,
446, 450, 456, 463, 470, 479, 490,
495, 502, 508, 516, 521, 527, 532,
550, 557, 565, 571, 580, 587, 593,
600, 616, 624, 629, 630, 632, 637,
643, 649, 668 , 675, 688 , 690, 695,
704, 710, 719, 729, 737, 742, 749,
758, 761, 772, 773, 780
Essential Questions, 3, 79, 163, 233,
293, 363, 417, 485, 545, 613, 663,
725
answering, 68 , 152, 222, 283, 353,
408, 474, 535, 603, 653,715,
786
Essential Understanding, 4, 10, 11, 16,
17, 23, 30, 38, 40, 46, 48, 53, 61,
81, 88 , 94, 102, 109, 116, 124,
130, 137, 144, 146, 164, 171, 178,
186, 194, 200, 207, 214, 234, 240,
246, 253, 262, 268, 274, 294, 301,
308, 315, 322, 330, 336, 346, 364,
372, 378, 387, 394, 400, 418, 425,
433, 439, 448, 453, 460, 467, 486,
492, 493, 498, 504, 512, 518, 523,
529, 546, 553, 561, 568, 576, 582,
589, 596, 614, 619, 626, 633, 639,
645, 664, 670, 678, 684, 691, 698,
705, 726, 732, 738, 746, 753, 762,
769, 776
estimating
exercises that use. See Estimation
exercises
solutions of equations, 55, 584
square root, 17
using, 788
Estimation exercises, 120, 191, 476
evaluating
algebraic expressions, 12
defined, 12, 69
exponential expressions, 420
expressions, 12
function rules, 263
functions, 269
identifying solutions of inequalities by,
165
events
complement of, 770
compound, 776-777, 779-780
defined, 769, 790
dependent, 778-779
independent, 777-778
mutually exclusive, 776-777
overlapping, 776-777
excluded value, 664, 705
experimental probability
defined, 771
finding, 771
using, 772
explicit formula
for arithmetic sequence, 276
for geometric sequence, 467
exponential decay, 462-463, 478
exponential expressions
evaluating, 420, 437
simplifying, 419-420, 442
using, 420-421
exponential functions
defined, 453
evaluating, 454
graphing, 455
identifying, 454
exponential growth, 460-461, 478
exponential models, 455, 589-591
Exponents, 806
exponents. See also power(s)
base of, 10
defined, 10
division properties of, 439-445, 476
in exponential decay models, 462-463,
478in exponential growth models,
460-461, 478
multiplication properties of, 433-438,
476
multiplying, 433-436
negative, 418-420, 475
rational, 428, 477
simplifying expressions with, 10-12,428
zero, 418-420, 475
EXPREG feature, of graphing
calculator, 595
expressions
algebraic. See algebraic expressions
equivalent, 23, 25
evaluating, 12
exponential, 419, 420, 426, 435, 440,
442
numerical, 4, 69
radical, 619-621
rational, 664-666, 670-672
simplifying, 11, 17, 25, 39, 46-47,
48-49, 619-622, 664-666
square root, 17, 39, 619-622
writing, 12, 25
Extended Response exercises, 230,
267, 290, 300, 360, 369, 405, 414,
431, 482, 503, 542, 566, 610, 638,
660, 712, 722, 782
Extension
Characteristics of Absolute Value
Graphs, 351
Matrices and Solving Systems,
385-386
Standard Deviation, 733
extraneous solutions, 635, 694
extrapolation, 337, 356F
factor(s)
conversion, 117, 155
decay, 462, 478
greatest common (GCF), 493
growth, 460, 461, 478
and multiples, 799
opposite, 665
perfect-square, removing, 620
variable, removing, 620
factoring
difference of two squares, 524
by grouping, 529-531
monomials, 493
perfect-square trinomials, 523-524
polynomials, 494, 529
trinomials, 512-514, 518-520,
523-526
using models, 511
using to solve rational equations, 692
using with rational expressions, 671