Page 950 - Algebra 1

Perimeter
defined, 226
similar figures ratio of, 226
Permutations, 754–756 combinations compared to, 804 defined, 756
Perpendicular lines
described, 110 determining, 425 equations of, 425–426 slope (of a line) of, 425
Pie graphs/charts. See circle graphs Point-slope form, 330
Polygons, classification of, 564–565 Polynomials
addition and subtraction of, 338 addition of, 338
defined, 336
degree of, 336
distributive property and, 376 division of, 617–619
division of, by binomials,
617–618
division of, by long division,
618 – 619
division of, by monomials, 616 factoring by grouping, 570–572 factoring of, 238
four-term, 570
least common multiple (LCM)
of, 370
multiplication by a monomial,
375
multiplication of, 375 multiplication of rational
expressions containing, 577 products of, 376
rearranging before grouping,
570–571
standard form of, 336 subtraction of, 338
with a zero coefficient, division
of, 619 Population, 187
Positive and negative fractions,
division of, 58
Positive coefficients, two-step equations with, 135
Positive correlation, 467–468 Possibilities, 756
Power, 12
Power property of exponents, 13
Powers
raising numbers to, 57 simplifying expressions with, 251
Powers of ten
multiplication by, 140 simplifying with, 400
Power of a power, 249–250 Power of a product, 250 Power of a quotient, 251 Predict. See Math Reasoning Prime factorization, 236–237 Prime numbers, 236 Principal, 788
Principal square roots, 288 Probability
combinations, 804–806 dependent events calculation, 205 of independent and dependent
events, 204–205
multi-step problems involving,
207
of mutually exclusive events, 443 of inclusive events, 444
Probability of event, 53–54
Product property of exponents, 198
Product rule, 197
of exponents, 13
for inverse variation, 419
Product property of radicals, 500 Properties
of addition and multiplication, 63 of equality, 104, 120 identification of, 64
use of, 64
Properties of equality
division, 120 multiplication, 120
Proportions
cross products solution to, 191 defined, 191
to find a percentage, 264 multi-step, 192
writing and solving, 223
Pythagorean theorem, 556–557 calculating distance with,
563–564
converse of, 558
justification of, 556
missing side lengths calculation,
557 Pythagorean triple, 558
Q
Quadrants, defined, 110 Quadratic equations
approximating solutions, 686 completing the square to solve,
697–700
graphing linear equations and,
761
identification of, 550–551 missing terms, 657
solutions by graphing, 669–671 solutions by graphing
calculator, 671–672 solving by factoring, 655, 656 solving using square roots,
684–685
Quadratic formula
approximate solutions to, 744 defined, 742
rearranging before solving,
743–744
recognizing, with no real
solutions, 744 standard form, 743
Quadratic functions
defined, 550
finding zeros of, 640–641 graphing, 638–639
graphing using a table, 551 identifying characteristics of,
585–586
standard form of, 550, 638
Quotient property for exponents, 199 R
Radical equations, 712–715 solving by isolating square
roots, 714
solving with square roots on
both sides, 715
Radical expressions, 500–501 addition of, 449 distributive property, 501 division of, 691–692 multiplication of binomials
with, 501
simplifying, 398–399, 500
Radical functions, 775 Radicand, 69
Random number generator, 52 Random sampling method, 187
Index 935
INDEX