Algebra 1 Common Core Student Edition, Grade 8-9

horizontal asymptote, 707

horizontal lines, 296, 323, 331, 395

horizontal translations, 348

hypotenuse

defined, 614

finding length of, 615

hypothesis, 615

I
identity, 104, 154
Identity Property
of Addition, 24
of Multiplication, 24, 25
if-th en statement, 615
inclusive, 200
inconsistent systems of linear
equations, 365-366
increase, percent, 145
independent events, 777-778, 790
independent systems of linear
equations, 365-366
independent variables, 240, 241, 249,
255, 294, 454
index of radical expression, 448
indirect measurement, 131
INDPNT feature, of graphing
calculator, 567
inductive reasoning, 63
INEQUAL feature, of graphing
calculator, 406
inequality(ies). See also solving inequalities
absolute value, 209-210
comparing real numbers using, 19
compound, 200-204, 217-218
defined, 19, 164
equivalent, 171
graphing, 167
graphs of, 165, 166, 172-173, 179,
181, 200-204, 209-210, 400
linear. See linear inequalities
multiple ways of representing, 167
multi-step, 185, 186-189
solution as union or intersection of
sets, 218
solving using Addition Property of
Inequality, 171, 172
solving using Division Property of
Inequality, 180-181
solving using Multiplication Property of
Inequality, 178-179
solving using Subtraction Property of
Inequality, 173
with special solutions, 189
symbols for, 19, 166, 173
Triangle Inequality Theorem, 205

with variables on both sides, 188

writing, 164, 187, 201-203, 218

writing from a graph, 166

inequality, properties of. See

property(ies)

input, 240

input value, 284

integers

square of, 17

in standard form, 324

as subset of rational numbers, 18

intercepts. See x-intercept; y-intercept

interdisciplinary

archaeology, 451

art, 143, 376, 495, 532, 539, 579,

621

astronomy, 156, 430, 443, 445, 446,

770

biology, 17, 84, 111, 128, 191, 212,

338, 365, 390, 429, 450, 477, 628,

629

chemistry, 35, 123, 205, 206, 391,

411, 427, 430, 630, 697

earth science, 93

economics, 142, 461

geography, 142, 438

geometry, 14, 15, 21, 51, 92, 99, 107,

113, 115, 143, 149, 150, 176, 187,

190, 192, 258, 264, 279, 304, 319,

327, 335, 375, 376, 383, 393, 404,

437, 444, 446, 490, 496, 502, 507,

510, 514, 519, 531, 533, 537, 538,

539, 565, 566, 571, 581, 600, 604,

607, 618, 625, 631, 636, 637, 654,

655, 657, 667, 676, 682, 690, 716,

719, 774

government, 175

history, 43, 617, 630

language, 86

music, 71, 85, 126, 127, 478, 736,

761, 764

physics, 169, 205, 271, 306, 311, 444,

463, 551, 565, 618, 642, 682, 699,

704, 711, 718

reading, 56, 269, 766

science, 113, 133, 470, 471

statistics, 128

U.S. history, 86

interest

compound, 139, 461, 462

simple, 139, 140

interpolation, 337, 356

interquartile range, 746

INTERSECT feature, of graphing

calculator, 261, 370, 456, 598

intersection

defined, 215, 226

point, of system of linear equations,

364

symbol for, 215

interval notation, 203

inverse

additive, 32

multiplicative, 40

of a relation, 273

of linear functions, 329

inverse function, 329

Inverse of a Linear Function, 329

inverse operations, 82, 153

Inverse Property

of Addition, 32

of Multiplication, 40-41

inverse variation

comparing with direct variation,

700-701, 703

constant of variation for, 698

defined, 698, 718

equation, 698

graphing, 699-700

identifying, 701

using in real-world problems, 699

Investigating y = mx + b, 307

irrational numbers, 18

isolate, 82

K

Key Concepts

Adding Real Numbers, 31

Addition Property of Inequality, 171

Combination Notation, 765

Continuous and Discrete Graphs, 255

Dividing Real Numbers, 40

Division Property of Inequality, 180

Equivalence of Radicals and Rational

Exponents, 449

Exponential Decay, 462, 478

Exponential Function, 453

Exponential Growth, 460, 478

Factoring a Difference of Two Squares,

525

Factoring Perfect-Square Trinomials,

523

Geometric Sequence, 467

Graph of a Quadratic Function, 554

Inverse Variation, 698

Mean, Median, and Mode, 738

Multiplication Counting Principle, 763

Multiplication Property of Inequality,

178

Multiplying Real Numbers, 39

Order of Operations, 11

Percent Change, 144

The Percent Equation, 138

The Percent Proportion, 137

Permutation Notation, 764

Point-Slope Form of a Linear Equation,

315

c

PowerAlgebra.com Index

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