Page 789 - Basic College Mathematics with Early Integers

Index

A of squares, 89, 98, 650 Coefficients, numerical, 560, 606
Absolute value, 118, 158 surface, 660–664 Commission problems, 481–482, 497
Acute angles, 623, 624, 680 of trapezoids, 650 Common denominator, 207–210. See also
Addends of triangles, 564, 650, 651 Least common denominator (LCD)
explanation of, 16, 47, 560, 704 Arithmetic mean. See Mean Common factors
grouping of, 18 Associative property dividing out, 187, 188, 196, 199
rounding of, 40–41 of addition, 18, 705 explanation of, 185–186
Addition of multiplication, 48–49, 143, 562 Commutative property
associative property of, 18, 705 Averages, 153. See also Mean of addition, 17, 18, 705
on calculators, 21 of multiplication, 48, 143
commutative property of, 17, 18, 705 B Complementary angles, 624, 680
of decimals, 289–292, 341 Bar graphs Complex fractions
distributive property of multiplication construction of, 510–511 explanation of, 233, 264
over, 49, 234, 561, 588, 589, 719 explanation of, 20, 508, 544 method to simplify, 233–235
explanation of, 16 method to read, 20, 508–509 Composite numbers, 182, 262
of fractions, 207–214, 222–227, 263 Bases Compound interest
of integers, 125–129, 134, 159 evaluating expressions with fractional, 197 calculation of, 488–490
of mixed numbers, 245–247, 250–251, 264 solving percent equations for, 453–454 on calculator, 491
of polynomials, 704–706 solving percent proportion for, 459–462 explanation of, 488–489, 497
problem solving using, 19–20, 75, 128 Binomials. See also Polynomials formula for, 489
properties of, 562 examples of, 705 table of, 703
relationship between subtraction and, 28 explanation of, 704 Compound interest factor, 491
repeated, 47 multiplication of, 718–719 Cones
symbols for, 19 Borrowing, 29–30, 247 explanation of, 635
of units of capacity, 414 Brackets ([ ]), 87, 150 right circular, 699
of units of length, 393 volume and surface area formula for,
of units of weight, 402 C 661, 664
used to check subtraction, 28, 31 Calculators Congruent triangles, 670–671, 683
of whole numbers, 16–21, 96 addition on, 21 Constants, 560
words and phrases used for, 19, 75, 111, 595 to check solutions of equations, 590 Constant terms, 560
Addition property compound interest on, 491 Consumer price index (CPI), 424
of 0, 17 decimals on, 294 Convex solids, 660
of equality, 571–573, 577, 586–588, 607 division on, 68 Cross products
Addition table, 694 estimation on, 315 to determine if proportion is true or false,
Additive inverse, 133 exponents on, 90 365–367
Adjacent angles, 625, 681 fractions on, 190, 227, 252 explanation of, 188–189
Algebra goals, 109, 731. See also Mathematics multiplication on, 54 Cubes
class; Study skills negative numbers on, 128 explanation of, 634, 699
Algebraic expressions parentheses on, 153 volume and surface area formula for, 661
combining like terms in, 560–562, 606 square roots on, 335 Cubic units, 660
equations vs., 570 subtraction on, 32 Cylinders
evaluation of, 52–153, 236, 559–560, 606 Capacity circular, 661, 663
explanation of, 109, 158, 559, 606 explanation of, 410 explanation of, 635
method to simplify, 150–152, 563–564, 606 metric units of, 412–414, 418, 428 right circular, 699
multiplication of, 562–563 U.S. units of, 410–412, 418, 428
writing phrases as, 111, 112, 595–596 Carrying, 16 D
Angles Center Data, 42. See also Graphs
acute, 623, 624 of circle, 633 Decimal point, 276, 301, 310
adjacent, 625 of sphere, 635 Decimals
complementary, 624 Centimeters, 52, 390–392 addition and subtraction of, 289–292, 341
degree of, 623, 624 Circle graphs on calculators, 294
explanation of, 621, 680 explanation of, 521, 545 comparing fractions and, 324–325
identification of, 622 method to draw, 522–524, 545 comparison of, 279–281
measurement of, 625–626, 632 use of, 521–522 division of, 310–314, 342
obtuse, 623, 624 writing ratios from, 355 estimation with, 291–292, 302, 313
review of, 680–681 Circles explanation of, 276
right, 623, 624 area of, 652–653 method to round, 281–283
straight, 623, 624 circumference of, 282, 304–305, 341, multiplication of, 301–304, 341
supplementary, 624–625 643–644, 652 on number line, 280, 281
vertical, 625 diameter of, 633, 634 place names and place values for, 276, 281
Angle-side-angle (ASA) triangles, 670 explanation of, 633, 699 problem solving using, 292–294, 305,
Approximation, 332, 334, 335. See also radius of, 31, 304, 633 314, 326–327
Estimation Circular cylinders, 661, 663 as replacement values, 292, 304, 314, 327
Area Circumference review of, 340–342
of circle, 652–653 explanation of, 282, 341, 643–644, 652 simplifying expressions with, 325–326
explanation of, 650, 682 formula for, 282, 643–644 in standard form, 278
formulas for, 650, 682 method to find, 304–305 table of, 700
of parallelograms, 650, 651 Class frequency, 511, 545 writing fractions as, 322–324, 342
of rectangles, 52–53, 89, 97, 650, 652 Class interval, 511, 545 writing percent as, 440–441, 444
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