In d ex
A
absolute value, 31, 71
absolute value equations
graphing, 207-208
with no solution, 208-209
solving, 207-208
absolute value functions
defined, 346, 356
graphing, 346
parent, 346
vertex of, 350
absolute value inequalities
graphing, 209-210
solving, 209-210
absolute value parent function, 346
absolute value symbol, 31
Activity. See also Extension; Technology
Always, Sometimes, Never, 37
Analyzing Residual Plots, 595
Characteristics of Absolute Value
Graphs, 351
Conducting Simulations, 775
Designing Your Own Survey, 752
Dividing Polynomials Using Algebra
Tiles, 677
Finding Roots, 567
Graphing Functions and Solving
Equations, 260-261
Graphing Linear Inequalities, 406
Graphing Rational Functions, 713
Inverse of a Linear Function, 329
Investigating y = mx + b, 307
Matrices and Solving Systems,
385-386
Modeling Equations With Variables on
Both Sides, 101
Modeling Multi-Step Inequalities, 185
Modeling One-Step Equations, 80
More Algebraic Properties, 184
Multiplying Powers, 424
Operations With Rational and Irrational
Numbers, 45
Powers of Powers and Powers of
Products, 432
Rates of Increase, 559-560
Relating Radicals to Rational
Exponents, 447
Solving Systems Using Algebra Tiles,
371
Solving Systems Using Tables and
Graphs, 370
Standard Deviation, 733
Two-Way Frequency Tables, 760
Unit Analysis, 122-123
Using Models to Factor, 511
Using Models to Multiply, 497
Using Residuals, 344-345
Using Tables to Solve Equations, 59
Writing Quadratic Equations,
573-574
ACT test prep. See Cumulative Standards
Review; End-of-Course Assessment;
Gridded Response; Multiple Choice;
Standardized Test Prep
addend, 23
Adding and Subtracting Fractions, 803
addition
of decimals, 24
of fractions, 31, 803
involving measures of central tendency,
741
of matrices, 727
of numbers with different signs, 31
of numbers with same sign, 31
of polynomials, 487, 488
properties of. See property(ies)
of rational expressions, 684, 685
of real numbers, 30-31, 33
solving equations using, 80, 82
solving inequalities using, 171, 172
solving systems of linear equations
using, 378
Addition Property
of Equality, 81, 153
of Inequality, 171
additive inverse, 32
algebraic expressions
defined, 4, 69
dividing, 440
evaluating, 12
multiplying powers in, 425
simplifying, 48-49
writing, 4-5
algebra tiles
modeling equations, 80, 101
modeling factoring, 511
modeling multiplication, 497
modeling multi-step inequalities, 185
modeling quadratic equations, 576
solving systems, 371
alpha key, of graphing calculator, 406
Always, Sometimes, Never, 37
analysis
of data, 725, 785, 786
of errors. See Error Analysis exercises
of graphs, 234
Analyzing Residual Plots, 595
and, compound inequalities
containing, 200 , 201 , 2 1 7 - 2 1 8angle of depression, 648
angle of elevation, 648
applications
admissions, 457
ages, 62
agriculture, 335, 377, 748
aircraft, 436
airports, 391
air travel, 65, 169, 717
allowance, 223
antennas, 22
apples, 790
aquarium, 563
aquarium fish, 182
architecture, 106, 117, 135, 154, 333,
629, 650
arithmetic sequences, 300
athletics, 245, 741
auto loans, 675
automobiles, 479
aviation, 265, 650
bakery, 128
baking, 265, 287
banking, 12, 177, 212, 368, 479,
593, 668
baseball, 113, 732, 764
basketball, 57, 183, 211, 750,
761, 788
beverages, 257
bicycle sales, 57
bicycling, 157, 321, 702
bike path, 334
biking, 212
biology, 390
birds, 157
bird watching, 34
boating, 392, 701
boiling point, 319
books, 85
bowling, 99, 739
bridges, 134
buffet, 252
business, 106, 321, 342, 388, 390,
391, 393, 398, 404, 409, 465, 557,
600, 682, 717, 761
cafeteria, 277, 781, 791
camping, 216, 219, 539
carpentry, 398, 515, 521, 532, 570
car rental, 266
cars, 148
car-sharing program, 93
car value, 465
car wash, 272
cats, 143, 226, 788
cell phone plans, 368
cells, 452
check for reasonableness, 324