Page 942 - Algebra 1

Index
A
Absolute value, 22, 487
Absolute-value equations
defined, 487
isolating the, 488–489
with more than two operations,
625
multi-step, 624–625
solving, 488
special cases, 488
with two operations, 624–625
Absolute-value functions
defined, 720 graphing, 720
Absolute-value graphs
reflections, stretches and compression of, 723 translations of, 721–722
Absolute-value inequalities
defined, 602
graphing, 602–603 isolating to solve, 603–604 solving, 602
solving multi-step, 678 special cases, 605
Absolute-value symbols
operations inside of, 626–627 solving with operations inside,
604–605
as symbols of inclusion, 31
Addition
in algebraic expressions, 93 associative property of, 63 commutative property of, 63 distributing over, 243
of equations, 412
equations solved by, 105
fraction equations solved by, 106 identity property of, 63 inequalities solved by, 430 inverse property of, 27
of polynomials, 338
of rational expressions with like
denominators, 592
of rational expressions with
unlike denominators, 593,
633, 663
rules for, with real-numbers, 23
Addition and subtraction
of fractions and decimals, 47 of polynomials, 338
of real numbers, 47–48
Addition property
of equality, 104
of inequalities, 430
Additive inverse, 27
Analyze. See Math Reasoning
Algebraic expressions
comparison of, 44
evaluating and comparing, 43–44 evaluation of, 43
with exponents, 43–44
least common multiple (LCM)
of, 369
vs. numeric expressions, 43–44 simplification of, 81 translating into words, 93
Applications, 6, 9, 11, 14, 16, 19, 21, 24, 26, 28, 29, 30, 33, 34, 35, 38, 40, 41, 42, 44, 45, 46, 48, 50, 51, 54, 55, 59, 61, 62, 65, 67, 68, 70, 72, 73, 76, 78, 79, 82, 83, 84, 88, 91, 92, 94, 95, 96, 97, 99, 100, 101, 102, 106, 107, 109, 113, 114, 116, 117, 118, 123, 124, 125, 126, 130, 131, 132, 136, 137, 138, 139, 142, 143, 144, 145, 149, 150, 151, 152, 155, 156, 157, 158, 160, 162, 163, 166, 167, 169, 170, 173, 174, 176, 182, 183, 184, 185, 186, 187, 188, 193, 194, 195, 196, 200, 201, 202, 203, 209, 210, 214, 216, 220, 221, 222, 225, 226, 227, 228, 229, 232, 233, 234, 235, 240, 241, 242, 245, 246, 247, 248, 251, 252, 253, 258, 260, 261, 262, 264, 265, 266, 267, 268, 272, 273, 274, 278, 279, 280, 281, 284, 285, 286, 287, 290, 291, 292, 293, 295, 297, 298, 301, 302, 303, 311, 312, 313, 316, 317, 318, 319, 324, 325, 326, 327, 331, 332, 334, 339, 340, 341, 342, 343, 345, 348, 349, 350, 356, 357, 358, 359, 360, 365, 366, 371, 372, 373, 374, 378, 379, 380, 381, 386, 387, 388, 389, 392, 393, 394, 395, 401, 402, 403, 408, 410, 411, 414, 415, 416,
417, 420, 421, 422, 423, 426, 427, 428, 429, 432, 433, 434, 435, 439, 440, 441, 442, 444, 445, 447, 448, 450, 451, 452, 453, 454, 458, 459, 460, 461, 462, 469, 472, 473, 478, 480, 484, 485, 486, 490, 491, 492, 498, 499, 502, 503, 504, 507, 508, 509, 513, 514, 515, 516, 519, 520, 521, 522, 526, 527, 528, 534, 535, 536, 537, 539, 540, 541, 542, 544, 546, 547, 548, 549, 552, 554, 555, 559, 560, 561, 562, 566, 567, 568, 569, 573, 574, 575, 579, 580, 581, 582, 588, 590, 591, 594, 596, 597, 605, 606, 607, 608, 611, 612, 613, 614, 615, 620, 621, 622, 623, 627, 628, 629, 630, 634, 635, 636, 637, 641, 642, 643, 644, 650, 653, 654, 657, 659, 660, 661, 665, 666, 667, 668, 673, 674, 675, 680, 681, 682, 683, 687, 688, 689, 690, 694, 695, 696, 702, 703, 704, 708, 709, 710, 711, 717, 718, 719, 723, 724, 725, 726, 730, 732, 733, 734, 738, 739, 740, 741, 745, 746, 747, 748, 749, 757, 758, 759, 760, 765, 766, 767, 768, 771, 773, 774, 779, 780, 781, 784, 785, 786, 787, 792, 793, 794, 795, 799, 801, 802, 806, 807, 808, 814, 815, 816, 819, 820, 821, 822, 826
Area
converting units of, 38 similar figures ratio of, 226
Arithmetic sequences, 211 finding the nth term of, 213 formula for, 212 recognition of, 211
Associative property
of addition, 63
of multiplication, 63
Asymptotes
defined, 511 determination of, 511–512 graphing using, 512
Axis of symmetry, 587
finding from formula, 588 using zeros to find, 587–588
Index 927
INDEX