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| Rich B., Schmidt Ph. — Schaum's Outline of Elementary Algebra (Schaum's Outline Series) |
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| Предметный указатель |
 (dot) 4
 (congruence symbol) 106
 (delta) 153
 (does not equal) 21
 (pi) 111
(pi), (times) 4
 (square root) 262
 (times) 4
() see “Parenheses”
+ (plus sign) 4 43—44 48
- (minus sign) 4 43—44 51
: (colon) 176
Abscissa 131 138
Absolute value 44
Acute angle, trigonometric functions of an 315
Acute triangle 108
Addends 2 344
Addition and order of operations 8
Addition of decimals 349
Addition of fractions 347
Addition of fractions with different denominators 251—252
Addition of fractions with same denominator 250
Addition of mixed numbers 347
Addition of monomials 65
Addition of polynomials 66
Addition of signed numbers 48—19 50
Addition of square roots 271
Addition rule of equality 25 30
Addition, algebraic representation of 5
Addition, checking 2 344
Addition, interchanging numbers in 2 5
Addition, simplifying 2
Addition, solving a pair of equations by 163
Addition, subtraction as inverse of 24 126
Addition, symbol for 4
Addition, terms used in 344
Addition, words denoting 5
Adjacent angles 179—180
Age problems 175
Angle problems 179—180
Angle(s), adjacent 179—180
Angle(s), base 108
Angle(s), complementary 179—180 316
Angle(s), congruent 107
Angle(s), corresponding 307
Angle(s), duplicating/copying 328
Angle(s), pairs of 179—180
Angle(s), supplementary 179—180
Angle(s), trigonometric functions, of an acute 315
Angle(s), trigonometric functions, of complementary 316
Arcs 108
Area of a parallelogram 116
Area of a polygon 115
Area of a rectangle 116
Area of a square 12 116
Area of a trapezoid 116
Area of a triangle 116 (see also “Surface area”)
Area, ofacircle 115 116
Aristotle 105
Arms (of right triangle) 108
Axis of symmetry 333
Axis of symmetry of a figure 331
Axis of symmetry of two points 330—331
Axis(-es) 138
Base 11
Base angles 108
Base of a percentage 350
Base, dividing powers of the same 74—75
Base, multiplying powers of the same 71
Binomial(s), defined 53
Binomial(s), product of two, with like terms 219—220
Binomial(s), squaring 223
Boxes see “Rectangular solid(s)”
Braces 69
Brackets 69
Calculator(s), finding square root of a number using a 266
Calculator(s), graphing 354—357
Calculator(s), performing fundamental operations with a 352
Center of symmetry of a figure 330
Center of symmetry of two points 330
Change, measuring 226
Chord (of a circle) 108
Circle(s), arc of 108
Circle(s), area of a 115 116
Circle(s), chord of 108
Circle(s), circumferenceof 107 lll
Circle(s), diameter of 108
Circle(s), radius of 107
Circle(s), sector of 107 108
Circular cone 110
Circular cylinder 110—111
Circumference 107
Circumference, formula for 111
Coefficients 10
Coin or stamp problems 185
colon 176
Common monomial factors 214 225
Common solution (of two linear equations) 147
Comparing signed numbers 45—16
Complementary angles 179—180
Complementary angles, trigonometric functions of 316
Completing the square, solving quadratic equations by 289—290
Complex fractions, defined 253
Complex fractions, simplifying 254
Conditional equalities 21
Cone(s) 109 110
Cone(s) of revolution 110
Cone(s), circular 110
Cone(s), volume of a 121
Congruent angles 107
Congruent segments 106
Congruent sides 107
Congruent triangle(s) 326—328
Congruent triangle(s), properties of 326—327
Congruent triangle(s), rules for determination of 327—328
Consecutive-integer problems 173
Consistent equations 147
Constant(s) and direct variation 227
Constant(s), defined 226
Continued ratios 176—177
Coordinates of a point 138
Corresponding angles 307
Corresponding sides 307
Cosecant (esc) 315 316
Cosine (COS) 315 316
Cost and mixture problems 187
Cotangent (COT) 315 316
Counting numbers 343
Cross product 219
Csc (cosecant) 315 316
Cube root(s) 262—263
Cube root(s) as rational numbers 264
Cube root(s) of revolution 116
Cube root(s), volume of a 121
Cube(s) 109—110
Cube(s), surface area of a 116
Cube(s), volume of a 12 121
Cubicunits 110 120
Curved line(s) 106
Cyhnder(s), circular 110—111
Decagon 107
Decimal(s) 348—350
Decimal(s) as rational numbers 264
Decimal(s), adding and subtracting 349
Decimal(s), approximate value of a 348
Decimal(s), changing fractions to 348
Decimal(s), changing percents to 350
Decimal(s), defined 348
Decimal(s), multiplying and dividing 349—350
Decimal(s), rounding 348
| Decimal(s), solving equations containing 94
Denominator(s), adding or subtracting fractions, with common 250
Denominator(s), adding or subtracting fractions, with different 251—252
Denominator(s), lowest common 93 251—252 346
Denominator(s), rationalizing the 274—275
Denominator(s), solving equations with fractions, with different 93
Denominator(s), solving equations with fractions, with same 92
Dependent equations 147—148
Deriving formulas 124
Deriving linear equations from a table of values 150—151
Descartes, Rene 46
Diameter 108
Difference 1
Difference of two squares 218—219
Difference, defined 344
Direct variation 226
Direct variation with constant ratio k 227
Direct variation without constant 227
Direct variation, multiplication and division in 228
Distance between two points 153 302
Distributive law 72
Dividend 344
Division and order of operations 8
Division by a fraction 28
Division by zero 4 57 242
Division in direct variation 228
Division in inverse variation 231
Division of a polynomial, by a monomial 76
Division of a polynomial, by a polynomial 77
Division of line segment into parts 106
Division rule of equality 25
Division with decimals 349—350
Division with fractions 249 346—347
Division with mixed numbers 346—347
Division with monomials 75
Division with powers with the same base 74—75
Division with reciprocals 244
Division with signed numbers 56—57
Division with square roots 273—274
Division, algebraic representation of 6
Division, checking 345
Division, fraction as signifier of 241
Division, multiplication as inverse of 24 126
Division, order of numbers in 6
Division, symbol for 4
Division, terms used in 344
Division, using, to solve equations 26
Divisor 344
Dodecagon 107
Elements (Euclid) 105
Equality(-ies) as scale in balance 25
Equality(-ies), conditional vs. unconditional 21
Equality(-ies), defined 21
Equality(-ies), left member of 21
Equality(-ies), maintaining 25
Equality(-ies), right member of 21
Equality(-ies), rules of 25
Equation(s), checking 21
Equation(s), consistent 147
Equation(s), decimals in 94
Equation(s), defined 21
Equation(s), dependent 147—148
Equation(s), fractions with different denominators in 93
Equation(s), fractions with same denominator in 92
Equation(s), inconsistent 147
Equation(s), parentheses in 91
Equation(s), radical 276
Equation(s), root of 21
Equation(s), rules of equality for solving 25
Equation(s), satisfying the 21 143
Equation(s), simple 23
Equation(s), solution to 21
Equation(s), solving literal 96
Equation(s), solving pairs of 163 166
Equation(s), translating verbal statements into 22
Equation(s), using division to solve 26
Equation(s), using inverse operations to solve 23
Equation(s), using multiplication to solve 28
Equation(s), using transposition to solve 90 (see also “Specific headings e.g. Quadratic
Equiangular polygons 107
Equilateral polygons 107
Equilateral triangle 108
Equivalent fractions 243 345—346
Euclid 105
Exponents 11
Expression(s) with signed numbers 58
Expression(s), cube root 264
Expression(s), defined 10 64
Expression(s), factors of an 213
Expression(s), square root 264
Extraneous roots 276
Extremes (of a proportion) 306
Factor(s) of a number 213
Factor(s) of a polynomial 213—214 225
Factor(s) of a product 213
Factor(s) of a quadratic equation 285
Factor(s) of an expression 213
Factor(s) of perfect-square trinomials 223—224
Factor(s) of terms 10
Factor(s) of the difference of two squares 218—219
Factor(s) of trinomials, of form  222
Factor(s), common monomial 214 225
Factor(s), defined 3 64
Factor(s), highest common monomial 214—215 225
Factor(s), monomial 214
Factor(s), preferred order of 3
Factor(s), repeated multiplication of 11—12
Factor(s), zero in 241—242
Figure(s) 106
Figure(s), axis of symmetry of a 331
Figure(s), center of symmetry of a 330
First-degree equations, in one unknown, defined 86 142 143
First-degree equations, in one unknown, solving, by transposition 90
First-degree equations, in one unknown, solving, where solution is negative 88
First-degree equations, in two unknowns 142—143
Formula(s) for area 116
Formula(s) for volume 121
Formula(s), defined 111
Formula(s), deriving 124
Formula(s), finding the value of an unknown in a 128
Formula(s), solving, for a letter 126
Formula(s), subject of a 126
Formula(s), transforming 126
Fraction bar 4 69
Fraction(s) 345—348
Fraction(s), adding 347
Fraction(s), adding or subtracting, with different denominators 251—252
Fraction(s), adding or subtracting, with same denominator 250
Fraction(s), as rational numbers 264
Fraction(s), as ratios 241
Fraction(s), changing decimals to 348
Fraction(s), changing, to equivalent fraction 345—346
Fraction(s), clearing of 92 93
Fraction(s), complex 253—254
Fraction(s), dividing 249
Fraction(s), dividing by a 28
Fraction(s), dividing mixed numbers and 346—347
Fraction(s), equivalent 243 345—346
Fraction(s), fundamental law of 345
Fraction(s), improper 345
Fraction(s), multiplying 248
Fraction(s), multiplying mixed numbers and 346—347
Fraction(s), proper 345
Fraction(s), rationalizing the denominator of a 274—275
Fraction(s), reducing, to lowest terms 246
Fraction(s), simplifying the square root of a 269
Fraction(s), square root of a 217 269
Fraction(s), squaring 215
Fraction(s), subtracting 347
Fraction(s), terms of a 241 345
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