Set(s) (continued)
empty, 103, 597
equal, 598
finite, 597
infinite, 597
intersection of, 599
null, 103, 597
of real numbers, 30
subset of, 598
union of, 599
universal, 597
Set braces, 16, 25, 597
Set-builder notation, 29, 250
Sight distance, 493, 538
Signed numbers, 28
interpreting data with, 43
operations on, 39, 50, 52, 59
Similar triangles, 138
Simple interest problems, 141–142
Simplified form of a radical, 505, 507,
518, 523
Simplifying
algebraic expressions, 69–70
radicals, 505, 507, 518, 523
Six-step method for solving applied
problems, 108
Slope, 199
formula for, 199, 201
from an equation, 204
of horizontal lines, 202, 203
negative, 202
of parallel lines, 205
of perpendicular lines, 205
positive, 202
of vertical lines, 203
Slope-intercept form, 211, 216
Solution set
of an equation, 86
of a system of linear equations, 248
of a system of linear inequalities, 282
Solutions of an equation, 24, 86
Solving a literal equation, 123
Solving for a specified variable, 123, 461
Special factorizations, summary of, 387
Sphere
surface area of, 559
volume of, 127, 512
Square(s)
of binomials, 335
completing, 561
difference of, 381
of a number, 15, 494
Square root method for solving quadratic
equations, 555
Square root property, 554
Square roots, 494, 496
ofa, 495
approximation of, 496
negative, 494
of a number, 494
positive, 494
principal, 494, 532
symbol for, 494
Squaring of radical expressions, 495
Squaring property of equality, 531
Standard form
of complex numbers, 575
of a linear equation, 177, 215–216
of a quadratic equation, 392, 554
Straight angle, 113, 122
Study skills
analyzing test results, 237
managing time, 187
preparing for math final exam, 482
reading math textbook, 14
reviewing a chapter, 75
tackling homework, 36
taking lecture notes, 22
taking math tests, 163
using math textbook, xx
using study cards, 48, 107
Subscript notation, 200
Subset of a set, 598
symbol for, 598
Substitution method
for solving dependent equations, 260
for solving inconsistent systems, 259
for solving linear systems, 257
steps to solve by, 258
Subtraction
of complex numbers, 576
definition of, 40
of fractions, 7
with grouping symbols, 40–41
of a multivariable polynomial, 324
on a number line, 39
in order of operations, 16
of polynomials, 323
of radicals, 513
of rational expressions, 443
of real numbers, 40, 59
of signed numbers, 40, 59
word phrases for, 41–42
Subtrahend, 39
Sum, 6, 41
of cubes, 386
Supplementary angles, 113
Supply and demand, 256
Surface area of a sphere, 559
Symbols of inequality, 17–19, 151
statements with, 17–19
Symmetry axis of a parabola, 325
System of linear equations, 248
alternative method for solving, 267
applications of, 272
choosing a method to solve, 270
consistent, 251
elimination method for solving, 264–268
with fractions, 261
graphical method for solving, 248–251
graphing calculator method for
solving, 253inconsistent, 251
with no solution, 250
solution of, 248
solution set of, 248
steps to solve by elimination, 265
steps to solve by graphing, 250
steps to solve by substitution, 258
substitution method for solving,
257–260
summary of outcomes, 251
System of linear inequalities, 281
graphical method for solving, 281–283
graphing calculator method for solving,
283–284
solution of, 282
solution set of, 282
steps to solve, 282Table of data, 33
interpreting, 33
Table of values, 179
Terms, 70–71
combining, 71, 320
degree of, 321
of an expression, 70–71, 320
like, 70, 320
numerical coefficient of, 70, 320
of a polynomial, 321
of a proportion, 131
unlike, 70, 321
Tests for divisibility, 58–59, 360
Test point, 224
Three-part inequalities, 157
Traffic intensity, 428
Translating sentences into equations, 55–56
Triangle(s)
right, 402
semiperimeter of, 539
similar, 138
Trinomials, 321
factoring of, 368–371, 373–378
perfect square, 382, 560Undefined rational expressions, 421
Union of sets, 599
symbol for, 599
Unit cost, 130
Unit pricing, 130
Universal set, 597
Unlike radicals, 513
Unlike terms, 70, 320–321Variable cost, 220
Variables, 22
formulas to evaluate, 120
radicals with, 508
solving for specified, 123, 461V
U
T
I-6 Index
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