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Index
A
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absolute value
- of algebraic expressions, 41, 52
- of complex numbers, 249
- defined, 41
- equations, 41–48
- inequalities, 41–48, 117
- in quadratic equations, 247
- of real numbers, 41
- symbols, 36, 44
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absolute value function(s)
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Absolute Value Parent Function, 107
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act it out, 675
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Activity
- Describing Data, 724
- Dynamic. See Dynamic Activities Graphing Inverses, 413
- Graphs in Three Dimensions, 164–165
- Linear Programming, 163
- Measuring Radians, 835
- Probability Distributions, 694–695
- Quadratic Inequalities, 256–257
- Systems with Rational Equations, 549
- Using Logarithms for Exponential Models, 477
- Writing Equations From Roots, 232
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addition.
See also summation
- of complex numbers, 250
- of function, 398
- inverse operation to, 27
- of matrices, 756–762, 794, 810
- properties of, 759
- of radical expressions, 374–380
- of rational expressions, 534, 535, 556
- of vectors, 803
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Addition Property
- of Equality, 27, 143
- of Inequality, 34
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additive identity, 13, 14
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additive identity matrix, 759
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Additive Identity Property, 759
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additive inverse
- of complex number, 250
- defined, 14
- of a matrix, 759
- opposites, 14
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Additive Inverse Property, 759
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additive trigonometric identities, 935
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agriculture, 222, 738
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algebraic expressions, 18–24
- defined, 5
- dividing, 21
- evaluating, 19, 52
- modeling words with, 18–19
- representing patterns using, 5, 51
- simplifying, 21, 52
- subtracting, 21
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The Ambiguous Case, 927
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amplitude, 822, 845, 886
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angle(s)
- acute, 914
- central, 836, 887
- in a circle, 836
- in a coordinate plane, 828
- cosine of, 830, 831, 837, 886
- coterminal, 829, 830
- identities of, 935–948
- initial side of, 828, 886
- of inverse trigonometric functions, 904
- measuring, 828
- radian measure, 836–842, 887
- sine of, 830, 831, 837, 886
- in standard position, 828, 829, 886
- tangent of, 860, 888
- terminal side of, 828, 886
- of triangles, 920–924, 927, 928–931
- in unit circle, 828–834, 886
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angle difference identities, 938, 939, 954
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angle sum identities, 939, 940, 943, 954
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applications
- academics, 364
- acoustics, 475
- activities, 726
- advertising, 710, 744
- aerodynamics, 643
- aircraft, 544
- airline ticket pricing, 749
- air quality, 160, 246
- air traffic control, 652
- animation, 799
- aquarium, 6
- athletics, 585
- auto maintenance, 748
- automobiles, 45, 66, 213, 513, 538, 547, 675, 678, 729
- aviation, 30, 806, 914
- awards, 678
- bacteria growth, 484
- baking, 245, 448
- banking, 19, 53, 585
- barometric pressure, 485
- basketball, 210, 731
- battery life, 729
- board games, 597
- boat building, 365
- bonus, 588
- break-even point, 147
- bridges, 204, 323
- bus travel, 30
- calendar, 825
- camping, 744
- career, 705
- carpentry, 294
- car racing, 45
- car rental, 66
- ceramics, 865
- class project, 23
- climate, 47
- clubs, 511
- coins, 223
- collecting, 9
- college enrollment, 153
- comets, 651
- communications, 212, 600, 741
- competition, 228
- construction, 39, 466, 512, 530, 865, 915
- consumer issues, 679
- cooking, 47, 118, 161, 245, 343, 448
- coordinate geometry, 791
- crafts, 461
- critical thinking, 40
- data analysis, 97, 680
- data collection, 716, 722
- demographics, 136, 440
- depreciation, 461
- digital media, 795
- discounts, 425
- distance, 71, 880
- elections, 723
- electricity, 365, 425, 540, 909
- electronics, 419
- endangered species, 438
- education, 696, 699
- energy, 716, 721
- energy conservation, 907, 908
- entertainment, 30, 35, 116, 148, 570, 722
- environment, 160, 246, 438, 440, 628, 907, 908
- estimation, 849
- exercise, 569
- financial planning, 19, 23, 53, 187, 448, 461, 491, 576, 579, 599
- firefighter, 229
- fitness, 31, 237, 269, 569, 790
- flight, 544, 652
- food, 16, 95, 180, 592