Intermediate Algebra (11th edition)

Sum and difference of two terms, product
of, 296
Sum of cubes, 336, 340
factoring of, 336
Sum of measures of angles of a triangle,
241, 245
Sum of squares, 334, 340
Summation notation, 680
index of, 680
Supplementary angles, 88, 241
Symmetry about an axis, 531
Synthetic division, 724
System of inequalities, 665
graph of, 665
System of linear equations in three
variables, 226
applications of, 238
geometry of, 226
graphs of, 226
inconsistent, 230
matrix method for solving, 250–251
steps to solve, 227
System of linear equations in two
variables, 210
applications of, 233
calculator graphing method for solving,
218–219
consistent, 212
with dependent equations, 212, 251
elimination method for solving, 215–216
with fractional coefficients, 214
graphing method for solving, 211
graphs of, 212
inconsistent, 212, 251
matrix method for solving, 248–249
solution set of, 210
special cases of, 217–218
steps to solve applications of, 234
steps to solve by elimination, 216
steps to solve by substitution, 213
substitution method for solving, 212–215
System of nonlinear equations, 658
elimination method for solving, 659
substitution method for solving, 658

Table of ordered pairs, 138
Term(s), 34
of an annuity, 695
of a binomial expansion, 704
coefficient of, 34, 278
combining, 34, 280

degree of, 278

leading, 279

like, 34, 280

numerical coefficient of, 34, 278

of a polynomial, 278

of a sequence, 678

Third-degree polynomial inequalities,

555

Three-part inequalities, 10, 96

graph of, 10–11

solving, 96

Threshold sound, 606

Threshold weight, 442

Traffic intensity, 393

Translating words into equations, 68

Translating words into mathematical

expressions, 67

Triangle

isosceles, 453

Pascal’s, 701

right, 448

similar, 404

sum of angles of, 241, 245

Trinomials, 279

factoring of, 326–331, 341

perfect square, 334, 337

steps to factor, 326, 330

Triple, ordered, 226

Undefined slope, 150, 152

Unearned interest, 64

Union

of linear inequalities, 178

of sets, 105

Universal constant, 606

Unlike terms, 34

Variable, 2

dependent, 181–182

independent, 181–182

solving for a specified, 57, 396, 523

Variation, 407

combined, 412

constant of, 407

direct, 407

inverse, 409

joint, 411

steps to solve problems with, 408

Verbal expressions into mathematical

expressions, 67

Verbal sentences into equations, 68

Vertex of a parabola, 531, 534, 541, 546

formula for, 542

Vertical angles, 87, 241

Vertical asymptote, 389

Vertical line, 141

equation of, 141, 163–164, 166

graph of, 141

slope of, 150

Vertical line test for a function, 185

Vertical parabola, 532

vertex of, 531, 541

x-intercepts of, 544

Vertical shift, 637

of a parabola, 533

Whole numbers, 2, 5

Windchill factor, 443

Work problems, 401, 514–515

x-axis, 137

x-intercept, 139

of an ellipse, 644

of a hyperbola, 650

of a line, 139

of a parabola, 544

y-axis, 137

y-intercept, 139

of an ellipse, 644

of a hyperbola, 650

of a line, 139, 162

Zero

division by, 19

multiplication by, 18, 36

multiplication property of, 36

Zero exponent, 265, 269

definition of, 265

Zero-factor property, 343, 496

solving an equation with, 344, 496

solving applied problems with,

347–348

Zeros

of a function, 349

of a quadratic function, 349

Z

Y

X

W

V

U

T

I-8 Index