Basic Mathematics for College Students

(Nandana) #1
I-1

INDEX


AAA similarity theorem, 759, 822
Absolute value, 136, 137, 193
Absolute value function
in expressions, 186, 200
symbol used for, 136
Acute angle, 715, 812
Acute triangle, 738, 818
Addend
decimals and, 331
defined, 16
Addition
algebraic phrases of, 641
associative property of
defined, 149
formula representing, 638,
696
uses for, 195
for whole numbers, 18, 19,
115
checking results, 18
commutative property of, 18,
115
defined, 149
formula representing, 638,
696
uses for, 195
identity property of, 639
key words and phrases
indicating, 21, 116
writing symbols used for,
146
Addition property
of equality, 659, 700
of opposites, 150, 195
of zero, 19, 150, 195, 639
Addition symbol, 16
Additive identity, 150
Additive inverse, 150, 195
Adjacent angle, 716, 812
Algebraic expression.See
Expression
Alternate interior angle
defined, 727, 815
property of, 728
American system of
measurement, 443, 485
American units
of capacity, 449, 486
of length, 444, 485
of time, 450, 486
of weight, 447, 485
Amount, in percent sentences
defined, 515, 574
identifying, 515
Amount-to-base ratio, 520
Angle
See alsospecific types
classifying, 715, 812
complement of
defined, 719
finding using algebra, 813


defined, 714, 812
supplement of
defined, 719
finding using algebra, 813
of a trapezoid, 769
Approximation, 7
Arc of a circle, 793, 829
Area
defined, 780, 826
units of, 827
Arithmetic, fundamental theorem
of, 83
Arithmetic mean or average
defined, 107, 126, 367
finding, 107, 126
formula for, 609, 627
Associative property
of addition
formula representing, 638,
696
for integers, 149, 195
for whole numbers, 18, 19,
115
of multiplication
formula representing, 639
for integers, 168
for whole numbers, 45, 119
Average
defined, 609
finding, 609
Axis, 595

Bar graph
decimals and, 324
double, 596, 622
example of, 594
reading, 595, 622
triple, 596, 622
Base
in exponents, 85, 124
of an isosceles triangle, 738, 818
in percent sentences
defined, 515, 574
identifying, 515
of a trapezoid, 769, 825
in volume formulas, 803, 831
Base angle, 738, 818
Base-10, 2
Bimodal, 615, 629
Braces, 2
Brackets, 105

Calculator
adding with, 23
approximating volume with,
832
calculating helicopter landing
pad paint costs with, 797
calculating revolutions of a tire
with, 794
compounding interest with, 565

decimals and
adding with, 332
dividing with, 363
multiplying with, 346
subtracting with, 334
dividing with, 64
entering negative numbers on,
151
exponential key of, 86
finding means with, 610
finding percents with, 517
finding perimeters of figures
that are combinations of
polygons with, 779
finding the volume of a silo
with, 805
finding the width of a TV
screen with, 750
fixed-point key of, 378
multiplying with, 48
negative numbers
dividing with, 180
multiplying with, 167
raising to a power, 171
subtracting with, 161
order of operations and
parentheses and, 108
Pythagorean theorem and,
749, 820
solving proportions with,
435
square roots and
approximating with, 390
finding with, 388
subtracting with, 35
Capacity
American units of, 449
American/metric
equivalencies, 473, 493
metric/American
equivalencies, 473, 493
unit conversion factor for,
449
Carrying, in addition, 16, 115
Celsius
conversion formula for, 474
measuring, 492
scale, 474
Change, finding in a quantity, 160,
196
Changing quantity, graphing, 600,
624
Chord, 792, 829
Circle
arc of, 793, 829
area of, 796, 830
center of, 792, 829
chord of, 793, 829
circumference of, 794, 829
defined, 792, 829
radius of, 792, 829

Circle graph
example of, 594
reading, 527, 576, 598, 623
Circumference
defined, 793, 829
formulas for finding, 793, 829
Class interval, 601, 625
Coefficient, 640, 697
Commission
amount of, 538, 579
formula for, 538, 579
rate of, 579
Common denominator, 242
Commutative property
of addition
formula representing, 638,
696
for integers, 149, 195
for whole numbers, 18, 115
of multiplication
formula representing, 639
for integers, 168
for whole numbers, 44, 119
Complementary angle, 718, 813
Complex fraction
defined, 288, 309
simplifying, 288, 309
Composite number, 82, 123
Compound interest.SeeInterest,
compound
Cone, finding volume of, 802, 831
Congruency
alternate interior angles and,
728, 815
angles and, 715, 812
corresponding angles and, 815
isosceles trapezoids and, 770,
825
line segments and, 713, 812
parallelograms and, 769, 824
triangles and, 754, 822
vertical angles and, 717, 813
Congruent triangle
ASA property of, 756, 822
congruence properties of, 755,
822
corresponding parts of, 754, 822
defined, 754, 822
properties of
SAS, 755, 822
SSA, 756
SSS, 755, 822
Constant, 638, 696
Constant term, 640, 697
Corresponding angle
defined, 726, 815
finding unknown measures of,
816
property of, 728
Credit (educational), 628
Credit hour, 612
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