Page 952 - Algebra 1

estimation of, 70
finding products of, 399
of perfect squares, 69
positive and negative values of,
288 principal, 288
solving by isolating, 714
Standard form
Systems of linear equations, 437 solving by elimination, 412–414 solving by graphing, 355–356 solving by substitution, 382–386 solving special systems, 436–439
T
Tables
to graph functions, 179–180 representing data with, 525 slope (of a line) from, 276
Tangent, 796 Technology
See also Graphing Calculator. See also Labs.
spreadsheets, 843–845
Term of a sequence, defined, 211
Terms of an expression, 8
Theoretical probability
calculating, 75 finding, 74
Transformations, 777
Translations, 396, 777
of absolute-value functions,
721–722
of square-root functions, 778
Tree diagrams, 205
Trend lines, 466
Trigonometric ratios, 796–797
Trigonometry
finding missing angle measures, 798–799
finding missing side lengths, 798
Trinomial, 336
Trinomials
evaluating, 477
factoring, 474–477, 493–496,
517–518, 572
multiplication with binomial, 378 with tiles, 474–475
Two points
equation of a line given, 330 writing an equation using, 330
Two-step decimal equations, 141 Two-step equations
with fractions, 136
with negative coefficients, 135 with positive coefficients, 135 solutions to, 134
Two-step inequaltities, 505
Two variables, equations of, 308
U
Undefined expressions, 270
Union of sets, 4
Unit analysis, 36–39
Unit rate, defined, 190
Unlike denominators
adding and subtracting with, 633–665
using equivalent fractions to subtract, 664
Unlike radicals, defined, 449 V
Variable expressions
multiple, simplification and evaluation of, 86–88
Variables, 7
on both sides, solving for, 172 simplifying with, 400
solved a formula for, 172 solving for, 171
Variation graphs, 463
Vertex
identifying, 585–586
of absolute-value function, 720 of parabola, 585
Vertical lines, 258 Vertical line test, 147 Vertical translations, 777
Volume
converting units of, 38 similar figures ratio of, 226
Voluntary sampling method, 187 W
Whole numbers, defined, 2 Word problems
translating between algebraic expressions and, 94
words and phrases to algebraic expressions, 93
Words
and inequalities, 282 translating into algebraic
expressions, 93
Write. See Math Reasoning
Index 937
of linear equations, 217
of polynomials, 336
of quadratic functions, 550 vs. scientific notation, 231 used to graph, 218
Stem-and-leaf plots, 128 analyzing, 407 creating, 406
Stratified random sampling method,
187
Stretches of absolute-value graphs,
723 Subsets, 2
Substitution
distributive property used in, 383 linear and quadratic equations
system solved by, 764 linear equations solved by, 382 rearranging before, 384
steps for solving by, 382
Subtraction
closed sets under, 28 distributing over, 244
of equations, 413
equations solved by, 105
fraction equations solved by, 106 inequalities solved by, 432
of polynomials, 338
of rational expressions with like
denominators, 592
of rational expressions with
unlike denominators, 594,
633, 664
of real numbers, 27
Subtraction property
of equality, 104
of inequalities, 432
Symbols of inclusion
comparing expressions with, 32 simplifying and comparing
expressions with, 31 Symmetry, 587
Systematic random sampling method, 187
INDEX