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Index
A
-
absolute value, 31, 71
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absolute value equations
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absolute value functions
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absolute value inequalities
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absolute value parent function, 342
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absolute value symbol, 31
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Activity.
See also Extension; Technology
- Always, Sometimes, Never, 37
- Characteristics of Absolute Value Graphs, 347
- Closure, 45
- Collecting Linear Data, 341
- Collecting Quadratic Data, 547
- Conditional Probability, 771
- Conducting Simulations, 763
- Designing Your Own Survey, 740
- Distance and Midpoint Formulas, 605
- Dividing Polynomials Using Algebra Tiles, 665
- Dynamic. See Dynamic Activity
- Finding Perimeter, Area, and Volume, 115–116
- Finding Roots, 554
- Geometric Sequences, 453–454
- Graphing Functions and Solving Equations, 260–261
- Graphing Linear Equations, 402
- Graphing Rational Functions, 701
- Investigating
y
=
m
x
+
b
,
y equals m x plus b comma 305
- Matrices and Solving Systems, 381–382
- Misleading Graphs and Statistics, 748
- Modeling Equations With Variables on Both Sides, 101
- Modeling Multi-Step Inequalities, 185
- Modeling One-Step Equations, 80
- More Algebraic Properties, 184
- Performing Regressions, 581
- Powers of Powers and Powers of Products, 432
- Right Triangle Ratios, 632
- Solving Systems Using Algebra Tiles, 367
- Solving Systems Using Tables and Graphs, 366
- Standard Deviation, 733
- Using Models to Factor, 499
- Using Models to Multiply, 485
- Using Tables to Solve Equations, 59
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ACT test prep.
See Cumulative Test Prep; End-of-Course Assessment; Gridded Response; Multiple Choice; Standardized Test Prep
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addend, 23
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Adding and Subtracting Fractions, 791
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addition
- of decimals, 24
- of fractions, 31, 791
- involving measures of central tendency, 729
- of matrices, 715
- of numbers with different signs, 31
- of numbers with same sign, 31
- of polynomials, 475, 476
- properties of. See property(ies)
- of rational expressions, 672, 673
- of real numbers, 30–31, 33
- solving equations using, 80, 82
- solving inequalities using, 171, 172
- solving systems of linear equations using, 374
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Addition Property
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additive inverse, 32
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algebraic expressions
- defined, 4, 69
- dividing, 441
- evaluating, 12
- multiplying powers in, 427
- simplifying, 48–49
- writing, 4–5
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algebra tiles
- modeling equations, 80, 101
- modeling factoring, 499
- modeling multiplication, 485
- modeling multi-step inequalities, 185
- modeling quadratic equations, 561
- solving systems, 367
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alpha key, of graphing calculator, 402
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Always, Sometimes, Never, 37
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analysis
- of data, 713, 773, 774
- of errors. See Error Analysis exercises of graphs, 234
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and, compound inequalities containing, 200, 201, 217–218
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angle of depression, 636
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angle of elevation, 636
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applications
- admissions, 451
- ages, 62
- agriculture, 332, 373, 736
- aircraft, 436
- airports, 387
- air travel, 65, 169, 705
- allowance, 223
- antennas, 22
- apples, 778
- aquarium, 550
- aquarium fish, 182
- architecture, 106, 119, 135, 154, 330, 616, 638
- arithmetic sequences, 298
- athletics, 245, 729
- auto loans, 663
- automobiles, 467
- aviation, 265, 638
- bakery, 128
- baking, 265, 285
- banking, 12, 177, 212, 364, 467, 579, 656
- baseball, 113, 720, 752
- basketball, 57, 183, 211, 738, 749, 776
- beverages, 257
- bicycle sales, 57
- bicycling, 157, 319, 690
- bike path, 331
- biking, 212
- birds, 157
- bird watching, 34
- boating, 388, 689
- boiling point, 317
- books, 85
- bowling, 99, 727
- bridges, 134
- buffet, 252
- business, 106, 319, 339, 384, 386, 387, 389, 394, 400, 405, 460, 545, 586, 670, 705, 749
- cafeteria, 277, 769, 779
- camping, 216, 219, 527
- carpentry, 394, 503, 509, 520, 557
- car rental, 266
- cars, 148
- car-sharing program, 93
- car value, 460
- car wash, 272
- cats, 143, 226, 776
- cell phone plans, 364
- check for reasonableness, 322
- class party, 169
- cleaning, 707
- climate, 148, 225
- clocks, 621
- clothing, 145, 324, 753, 777
- coins, 372, 389