730 Index
two-by-two cubic/cubic system, 459–461
two-by-two general system
graph of, 530–538
solution of, 523–530
two-by-two linear system
addition, 255–258, 267–270, 329–330
double elimination, 255–258, 267–270,
285
graphs of, 264–280, 331–335
inconsistent, 275–277
morph and mix, 251–255, 264–267,
286, 326–329
redundant, 277–278
rename and replace, 258–262, 271–275,
286, 330–331
substitution, 258–262, 271–275,
330–331
two-by-two linear/cubic system, 456–459,
471–475
two-by-two linear/quadratic system, 447–451,
463–466
two-by-two quadratic/quadratic system,
451–456, 466–471
two-point form, 248–249
U
union of sets, 30–33, 145–146
unit diagonal form of matrix, 300–301,
304–305, 341, 344
unit square, 127–128
universal
quantifier, 180
set, 23–24
universe, 23–24
upper bound for real roots, 440–443
V
variable
definition of, 52
dependent, 215
independent, 215
Venn diagram, 22–23
vertex of parabola, 510–515
vertical-line test for function, 234, 239, 319,
396–397W
whole number, 9
word problems, 203–207X
x-intercept, 332–335Y
y-intercept
definition of, 238
determination of, 321–323Z
zero
as placeholder, 8–9, 143
denominator, 135
division by, 67–68
lack of, in Roman system, 6–7
multiplication by, 135
numerator, 135
of quadratic function, 396–412, 510–515
zeroth
power, 95, 110–112, 135, 160
root, 168