Geometry formulas, 120, 300–301, 302,
339–340
Graph(ing)
circle, 9
of an equation, 188
of horizontal lines, 192
of inequalities, 152
line, 176
of linear equations, 188, 193
of linear inequalities, 152, 224
of numbers, 28
of ordered pairs, 180
of parabolas, 325
pie, 9
of quadratic equations, 324, 580
of a rational number, 29
region of, 224–225
of vertical lines, 193
Graphical method
for solving linear equations, 195, 249
for solving linear systems, 248–249
for solving linear inequalities, 281–282
Graphing calculator method
for expressing scientific notation, 317
for solving linear equations, 195
for solving linear inequalities, 227
for solving linear systems, 253,
283–284
for solving quadratic equations, 399,
585–586
Greater powers of binomials, 337
Greater than, 18, 31, 151
definition of, 31
Greater than or equal to, 18, 151
Greatest common factor, 3, 360
factoring out, 362
of numbers, 360
steps to find, 360
for variable terms, 361
Grouping
factoring by, 363
factoring with four terms, 363–364
factoring trinomials by, 373
Grouping symbols, 15–16
addition with, 40–41
subtraction with, 40–41
Heron’s formula, 539
Horizontal line, 192
equation of, 192–193, 216
graph of, 192–193
slope of, 202–203
Hypotenuse of a right triangle, 402
i, 574
Identity, 103
Identity element, 62
Identity properties, 62
Imaginary numbers, 575
Imaginary part of a complex number,
575
Imaginary unit, 574
Improper fraction, 2
Incidence rate, 428
Inconsistent system, 251
elimination method for solving, 268
substitution method for solving, 259
Independent equations, 251
Index of a radical, 499
Inequalities, 17–18, 151
addition property of, 153
applied problems using, 156
graphs of, 152
linear in one variable, 155–156
linear in two variables, 223
multiplication property of, 154
solving linear, 151
symbols of, 17–19, 151
three-part, 157
Infinite set, 597
distinguishing from finite, 598
Infinity, 151
Inner product, 331
Input for a function, 230
Input-output machine, 230
Integers, 28–29
consecutive, 112, 401
consecutive even, 113, 401
consecutive odd, 113, 401
as exponents, 303
factors of, 50
Intensity of an earthquake, 315
Intercepts, 190, 211
of a linear equation, 190
of a parabola, 581
of a quadratic equation graph, 581
of a quadratic function, 584
Interest, compound, 303
Interest problems, 139, 141–142
Interpreting graphs, 176
Intersection of sets, 599
symbol for, 599
Interval notation, 151
Inverse
additive, 31–32, 40, 63
multiplicative, 51, 63
Inverse properties, 63
Inverse variation, 477
as a power, 477
Irrational numbers, 30, 496
conjugate of, 525
decimal approximation of, 496–497Least common denominator, 6, 435
steps to find, 435
Legs of a right triangle, 402
Leonardo of Pisa, 494
Less than, 17, 31, 151
definition of, 31Less than or equal to, 18, 151
Like radicals, 513
Like terms, 70, 320
addition of, 320
combining, 71, 320
Line(s)
equations of, 211
horizontal, 192
intercepts of, 190, 211
number, 28, 151
parallel, 204
perpendicular, 204
slope of, 199
of symmetry, 325
vertical, 193
Line graph, 176
interpreting, 176
Linear equations in one variable, 86
applications of, 108
with decimal coefficients, 102
with fractions, 100–101
geometric applications of, 120
with infinitely many solutions, 103
with no solutions, 103
solving, 97
steps to solve, 97
Linear equations in two variables, 177, 191.
See alsoSystem of linear equations
calculator graphing of, 195
graphing calculator method for
solving, 195
graphing of, 188, 193
intercepts of, 190
point-slope form of, 213–214
slope-intercept form of, 211
slope of, 204
solution of, 177
standard form of, 215
summary of types of, 216
systems of, 248
used to model data, 194
Linear function, 235
Linear inequalities in one
variable, 155–156
graph of, 152
solution of, 155–156
steps to solve, 155
Linear inequalities in two variables, 223
boundary line of, 224
calculator graphing of, 227
graph of, 224
solution of, 224
steps to graph, 226
system of, 282
Literal equation, 123
Long division, 342–343
Lowest terms
of a fraction, 3
of a rational expression, 421
writing radical expressions with
quotients in, 527L
I
H
Index I-3