Page 951 - Algebra 1

Range, 146
of functions, identifying in
graphs, 181 Range of set of data, 300
Rates
converting, 190 defined, 190
Rates of change
defined, 256
determination from a graph, 256 determination from a table, 257
Rational equations
defined, 662
solving for, using LCD, 663
Rational expressions
addition and subtraction of, 592–593
common denominators for, 631 common factors, 271 comparison of, 48
defined, 243
distributive property to simplify, 243
division of, 578
with like denominators, 322 multiplication and division of,
576–577
simplifying, 270, 323
with unlike denominators,
632–633
Rational functions
defined, 510 graphing, 511–512
Rationalization
defined, 691
of denominator, 691–692
Rational numbers
defined, 2
multiplication of, 57
ordering, 48
simplifying expressions with, 32
Rational proportions, 662–663
Ratios, defined, 190
Reading Math, 2, 22, 59, 75, 81, 99, 106, 111, 122, 148, 223, 224, 282, 283, 430, 431, 476, 481, 482, 505, 510, 519, 525, 602, 701, 706, 721, 727, 728, 755, 782
Real-number addends, 23
Real numbers
addition and subtraction of, 47–48
classification of, 2–3
defined, 2
division of, 58
multiplication of, 56 properties of, used to simplify
expressions, 63
rules for adding, 23
sets of, closed under addition,
24
subsets of, 2–3 subtraction of, 27
Real World Connections. See Applications
Reasoning. See Math Reasoning Reciprocals, 136, 797 Rectangles, 701
Recursive formulas, 212 Reflections, 397
of absolute-value graphs, 723 of square-root functions, 778
Relation
defined, 146
determining domain and range
of, 146
ordered pairs of, 147
Relationships, 117
Relations vs. functions, 146
Relative frequency, 407
Roots. See also square roots of equations, 655 higher-order, 289 simplifying, 289
S
Sample, 187
Sample spaces, 74–75 Sampling, 187
Scalar multiplication, 828 Scale drawing, 225
Scale factor, 223
Scatter plots
defined, 466
graphing, 466
making and analyzing, 466–467 matching situations to, 468
Scientific notation
comparing expressions with, 232 division of numbers in, 232 multiplying numbers in, 231
vs. standard form, 230
writing numbers in, 231 Secant, 797
Segment of a line, 563–564
Sequences
arithmetic, 211 defined, 211 term of, 211
Setsdefined, 2 intersection of, 4 union of, 4
Signed numbers
division of, 58 multiplication of, 57
Similar figures, 223
finding measures in, 224 ratio of perimeter, area and
volume in, 226 “Similar to” symbol, 223
Simple event, 74
Simple interest, 788–789
vs. compound interest, 791
Simple random sampling method, 187
Simplify/simplification
Sine, 796
Slope (of a line)
defined, 257, 329
determination from a graph, 257 from a graph, 276
of parallel lines, 424
of perpendicular lines, 425 using slope formula, 275
from a table, 276
from two points, 275
Slope formula, 275
Slope-intercept form
defined, 307
equation of a line in, 308 equations in, 307
Special products, 543–544
Square-root functions
defined, 776
determining domain of, 777 graphing, 776
reflections of, 778 translations of, 778
Square roots, 288
calculating and comparing,
69–70
comparing expressions
involving, 70
936
Saxon Algebra 1