Page 945 - Algebra 1

Exponential form, 200 Exponential functions
evaluating, 727–728 identifying and graphing, 728,
729
Exponential growth, 749
Exponential growth and decay,
749–753
Exponential growth function, 750
Exponents, 12
algebraic expressions with,
43, 44
Expressions
with absolute-value symbols and parentheses, 31
comparing, 18
with exponents, evaluation of, 88 with fractional exponents, 289 with integer and zero exponents,
197–198
multiple variable, simplification
and evaluation of, 86–87 with powers, simplification of,
251
with scientific notation, 231 simplification before evaluation
of, 87
simplifying and comparing with
symbols of inclusion, 31 simplifying rational, 270 simplifying with greatest
common factor (GCF), 239 undefined, 270
Extraneous solution, 716
F
Factorials, 755–756
Factoring
combining fractions to simplify, 611
difference of two squares, 545 four term polynomials, 570 with greatest common factor
(GCF), 571
with opposites, 571
perfect square trinomials, 543 polynomials, 238 polynomials by grouping,
570–571
quadratic equations by, 655–657 to simplify complex fractions,
610
special products, 543–545 trinomials, 474–477, 517–518,
572 Factor, 7
Family of functions, 396 FOIL (first, outer, inner, last)
method, 377
Formula solving, for a variable, 172
Formulate. See Math Reasoning
Fractional exponents, 289
Fraction bars as symbols of inclusion, 31
Fraction equations
solved by addition, 106 solved by subtraction, 106
Fractions
division of, positive and negative, 58
simplification of complex, 609–611
two-step equations with, 136
Fractions and decimals, 47
Frequency distributions
calculating, 523–524 defined, 523
Function notation, 669
Functions
defined, 146
families and tables, 810
family of, 396
graphs of, 179–180, 809–812 identification of graphs as, 148 linear vs. quadratic vs.
exponential, 809–811 maximum of, 585 minimum of, 585 ordered pairs of, 147 parent, 396
vs. relations, 147 writing, 148
Fundamental counting principle, 754
G
Generalize. See Math Reasoning
Geometric sequences
defined, 705
finding nth term of, 706–707 formula for, 706 recognizing and extending,
705–706
Graphing. See also graphs absolute-value functions, 720 absolute-value inequalities,
602–603
using asymptotes, 512
on coordinate plane, 110–111 cubic functions, 782–784
direct variation equations, 364 exponential functions, 729–730 inequalities, 315
inverse variation, 420
linear and quadratic equations,
761
linear inequalities, 647–649, 735 linear inequalities without
technology, 648–649 linear inequalities with
technology, 649
quadratic equations solutions
by, 669–671
quadratic functions, 638–640 quadratic functions using a
table, 551
radical functions, 775 rational functions, 510–512 scatter plots, 466
slope (of a line) from, 276 with a slope and a point, 329 square root functions, 776 using standard form for, 219 trend line, 466
x-intercept, 218
y-intercept, 218
Graphing calculator. See also labs, 33, 52, 54, 55, 56, 72, 91, 133, 145, 156, 158, 176, 177, 178, 179, 182, 195, 210, 215, 267, 285, 305–306, 319, 334, 342, 343, 344, 347, 352, 353, 356, 357, 358, 360, 374, 402, 404, 405, 408, 409, 416, 447, 459, 464, 465, 467, 473, 528, 566, 583, 584, 640, 642, 645, 646, 649, 651, 660, 672, 673, 674, 677, 682, 685, 689, 710, 725, 730, 731, 736, 738, 741, 744, 745, 748, 763, 766, 772, 773, 775, 784, 787, 793, 795, 798, 800, 824, 825, 827, 829
Graphs. See also graphing bar, 127
bar, misleading, 159 circle, 130
circle, misleading, 160 comparing, 730
930
Saxon Algebra 1