Page 944 - Algebra 1

Dependent events
calculating probability of, 206 defined, 204
probability of, 204–205 situations involving, 205
Dependent systems of equations
defined, 436 solving for, 437
Dependent variables
defined, 111 determination of, 112 identification of, 111
Difference of two squares, 545 Direction
of a parabola, 552
Direct variation
defined, 362, 462
vs. inverse variation, 462–463 from ordered pairs, 363
Direct variation equation
graphing, 364
writing and solving, 364
Discontinuous functions, 511 Discounts, 295
Discrete data, 118
Discrete events, 523 Discrete graphs, 118
Discriminant
determination of, 769 use of, 770
Disjunction
defined, 482 solving, 483 writing, 482–483
Distance
calculating with Pythagorean theorem, 563–564
between two points, 564
Distributing over addition, 243
Distributing over multiple operations, 245
Distributing over subtraction, 244
Distributive property
polynomials and, 375
radical expressions, 501 simplifying expressions with,
80–81
to simplify rational expressions,
243
used in substitution, 383 using, 154
Division
in algebraic expressions, 93 distributing over, 245
of inequalities by a negative
number, 458
of inequalities by a positive
number, 457
of numbers in scientific
notation, 232
one-step equations solved by,
120–122
of polynomials, 617–618
of polynomials with a zero
coefficient, 619
of positive and negative
fractions, 58
of radical expressions, 691–692 of rational expressions, 578
of signed numbers, 58 simplification of complex
fractions by, 609–610 solving equations by, 122
Division properties
of equality, 120
of an inequality, 457
Domain, 146, 181 Double-bar graphs, 128 Double-line graphs, 128–129 Double root, 770
E
Elements, 2, 826
Ellipsis, 211
Equation of a line
given two points, 330
from a graph, 309
in point slope form, 330
in slope-intercept form, 307 in standard form, 217
Equations
absolute-value, 487–488 addition of, 412 classifying systems of, 438 defined, 103
equivalent, 103
evaluation and solution of, 134 of line of best fit, 464–465, 467 matching to graphs, 180–181 multiplication of one, 413 multiplication of two, 414
of parallel lines, 424–425
of perpendicular lines, 426 roots of, 655
in slope-intercept form, 307 solution of, in one variable, 103 solved by addition, 105
solved by division, 122
solved by multiplication, 121 solved by subtraction, 105 subtraction of, 413
of two variables, 308
with variables on both sides, 164–165
writing, given a point, 363
Equivalent equations, 103
Equivalent fractions
to add with unlike denominators, 632, 633
to subtract with unlike denominators, 632, 633, 664
Equivalent inequalities, 315
Estimate. See Math Reasoning
Error Analysis, 5, 11, 15, 20, 25, 30, 35, 41, 42, 45, 46, 50, 51, 60, 61, 67, 68, 73, 78, 79, 83, 84, 85, 91, 92, 96, 97, 101, 102, 107, 108, 115, 126, 131, 137, 143, 151, 156, 157, 167, 168, 175, 185, 196, 201, 209, 216, 221, 228, 234, 247, 248, 252, 261, 268, 273, 281, 287, 293, 297, 298, 304, 312, 313, 318, 328, 333, 334, 341, 350, 359, 367, 374, 380, 387, 394, 401, 410, 417, 423, 427, 429, 435, 440, 442, 447, 448, 453, 454, 461, 471, 472, 478, 479, 485, 491, 498, 503, 508, 509, 515, 521, 527, 536, 537, 541, 542, 549, 555, 562, 568, 575, 581, 591, 597, 607, 612, 613, 614, 621, 622, 628, 629, 635, 636, 643, 653, 660, 661, 667, 668, 675, 681, 682, 683, 688, 689, 694, 695, 703, 709, 710, 711, 718, 725, 732, 740, 746, 747, 759, 766, 772, 773, 780, 785, 786, 794, 801, 802, 807, 814, 815, 822, 823
Estimation of square roots, 70
Evaluate, 43
Excluded values, 322 determining, 510
Experimental probability, 53–54, 524
Exploration, 23, 37, 53, 74, 121, 127, 164, 225, 230, 249, 256, 337, 361, 376, 390, 399, 418, 474, 523, 648, 698, 756
Exponential decay, 751
defined, 751 Index 929
INDEX