Index 355prime factorization
factor trees, 50-51
using exponents, 52
prime numbers, 46
divisibility test, 48
finding, 47-49
relatively prime, 53
square numbers, 49-50
principals, 93
prisms, 215
cubes, 215
lateral area, 217
rectangular, 215
right, 216
surface area, 216-218
volume formulas, 218-219
probabilities, 254
compound events, 255-258
“and” probabilities, 256-257
“or” probabilities, 257-258
counting methods
basic counting principle,
248-249
combinations, 251-252
permutation, 249-251
example problems, 293-295
relative frequency, 253-254
theoretical, 255
products (multiplication), 23
proper fractions, 59
proportional reasoning, 83
percentages, 88
changing to decimals, 92
changing to fractions, 92
example problems, 90-91
increases and decreases,
96-98
interest calculations, 92-94
tax calculations, 94-95
tip calculations, 95-96triangles, 166-170
30-60-90 right triangles,
176 -177
45- 45-90 triangles, 177
ac ut e , 171-172
altitudes, 166
angle bisectors, 167
a r e a , 178 -179
congr uent, 234 -237
equilateral, 171
i s o s c ele s , 170 -171
medians, 167
obtuse, 172
perimeters, 178
r ig ht , 172-175
scalene, 170
similar, 236-240
Triangle Sum theorem, 168
vertices, 166
polyhedrons
prisms, 215
cubes, 215
lateral area, 217
rectangular, 215
right, 216
surface area, 216-218
volume formulas, 218-219
pyramids, 219
surface area, 220-221
volume formulas, 221-222
polynomials, 117
binomials, 117
deg rees, 117-118
monomials, 117
standard form, 118
trinomials, 117
powers of ten, 8
charts, 8
decimal fractions, 71
decimal system, 7-9
exponents, 8perimeters
quadrilaterals, 188
triangles, 178
permutations, 249-251
perpendicular lines, 159-160
bisectors, 159
slopes, 162-163
pie charts
drawing guidelines, 267-268
reading, 269-270
usage guidelines, 266-267
place value system (decimal
system), 5-9
planes, 152
plotting points (coordinate graphs),
linear equations, 136-139
points, 152
endpoints, 153
midpoints, 158
plotting points (coordinate
graphs), linear equations,
136 -139
polygons, 166
circumscribed, 208
concave, 230
congruent, 234
convex, 230
d iagonals , 192-193
inscribed, 208
naming, 192
polyhedrons. See polyhedrons
quadrilaterals, 166
area formula, 188-191
parallelograms, 181-186
perimeters, 188
trapezoids, 186-187
regular polygons
apothems, 195
area , 194 -196
similar, 234
sum of angles, 193-194