Download A Absolute value defined, 6 graphing functions

Index
A
Absolute value
defined, 6
graphing functions, 591–92
inequalities involving, 595–98
more than one, 590–91
solving equations involving, 589–90
Absolute value property, 589
Absolute zero, 32
Addends, 20
Addition
associative property of, 21
commutative property of, 20, 21
of complex numbers, 669
of decimal numbers, 26–28
distributive property of multiplication
over, 34
of fractions
with different denominators,
24–25
with same denominator, 23–24
of functions, 743
of integers, 20–25
of like radicals, 641–43
of numbers
with different signs, 22–23
with same sign, 21–22
polynomial, 372–74
problem solving involving, 131–32
properties of, 21
of rational expressions
with different denominators,
525–30
with same denominator, 519
translating word phrases to
expressions in, 59
Addition principles
applying to formulas, 125–27
of equality, 101–8
of inequality, 164–65
isolating variable using, 126
solving linear equations using, 101–2,
114
Additive identity, 20, 21
Additive inverses, 26–27, 301–3
multiplying each equation by number
to create, 302–3
multiplying one equation by number
to create, 301–2
Aging, 780
Algebra, structure of, 2
Algebraic expression, evaluating, 66
Algebra pyramid, 3, 88, 361, 465, 613, 659
Amazon River, 150
And
interpreting compound inequalities
with, 578–79
solving compound inequalities with,
579–81
Applications, solving
addition principle in, 107
common logarithms in, 802–3
elimination in, 305–8
exponential and logarithmic functions
in, 809–11
formulas in, 118
involving logarithms, 789–90
natural logarithms in, 803
parabolas in, 726–28
problems that translate to system of
three linear equations, 316–17
problems using equations that are
quadratic in form, 714–16
problems using matrices, 324–25
radical functions in, 617–18
systems of equations in, 294–97
systems of linear inequalities in, 333
Area
calculating, for composite figures,
92–94
defined, 90
Arecibo radio telescope, 698
Arithmetic average
defined, App–1
finding, of given set of numbers,
App–1
Arithmetic mean, 53
Arithmetic operations, performing, with
complex numbers, 668
Arithmetic sequence
common differences of, App–6–7
nth term of, App–7
Arithmetic series, App–8–9
partial Sum, Sn, of, App–9
Associative property
of addition, 21
of multiplication, 34
Atomic bomb, 412
Augmented matrix
defined, 321
solving system of linear equations by
transforming to row echelon form,
322–24
writing system of equation as, 321
Axis
of symmetry, 476
x-, 190
y-, 190
B
Back-end ratio, 158
Bases
defined, 47
division of exponential forms with
same, 402
evaluating exponential forms with
negative, 48
Base-ten number system, 371
Batting averages, 159
Binomial coefficients, App–20
defined, App–20
evaluating, App–20
Binomials
defined, 363
expanding
using binomial theorem, App–21
using Pascal’s triangle, App–19
finding particular term of, App–21–22
multiplication of, 392
squaring, 396–97
Binomial theorem, App–19–22
defined, App–21
expanding binomial using, App–21
Blue whales, 46
BMI, analyzing, 137
Boston Marathon (2011), 718
Box, geometric formulas for, 91
Braces in indicating a set, 3
British Royal Air Force, 517
C
Calculators
approximating roots using, 614–15
Cartesian, coordinate system, 190
Celsius scale, 32
Change-of-base formula, 811–12
Chicxulub crater, 96
Circles
defined, 838
examples of, 834
finding equation of, with given center
and radius, 838–39
geometric formulas for, 91
graphing of the form (x - h)2 + (y - k)2
= r2, 837–38
graphing of the form x2 + y2 + dx + ey +
f = 0, 839–40
standard form of equation of, 839, 852
Circumference, 90
Coefficient
binomial, App–20
defined, 69
of monomial, 362
Common factor, eliminating, in fraction,
14–15
Common logarithms
defined, 801
solving applications using, 802–3
Common ratio, App–12
Commutative property
of addition, 20, 21
of multiplication, 34
Completing the square, 689
Complex fraction, 534
Complex numbers, 667–72
addition of, 669
defined, 668
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