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| Rich B., Schmidt Ph. — Schaum's Outline of Elementary Algebra (Schaum's Outline Series) |
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| Предметный указатель |
Fraction(s), various meanings of the term “fraction” 241
Fraction(s), with different denominators, in equations 93
Fraction(s), with same denominator, in equations 92
Fundamental operations, checking 344—345
Fundamental operations, terms use in the 344
Fundamental operations, using a calculator to perform 353
Geometry 105
Graph(s) 46 137—139
Graph(s) of linear equations 141—143
Graph(s), distance between two points on a 302
Graph(s), finding the square root of a number using a 265—266
Graph(s), forming a, by combining number scales 138
Graph(s), intercepts of a 141—142
Graph(s), maps a special kind of 138—139
Graph(s), quadrants of a 138
Graph(s), solving pairs of linear equations with 147—148
Graph(s), solving problems using 323
Graph(s), solving quadratic equations with 293—294
Graphing calculators 354—357
Grouping symbols 69—70
HCF see “Highest common factor”
Hexagon 107
Highest common factor (HCF) 214—215 225
Hypotenuse 108
identities 21
imaginary numbers 263
Improper fractions 345
Inclination of a line 325
Incomplete quadratic equations, defined 287
Incomplete quadratic equations, solving, when no constant term 288
Incomplete quadratic equations, solving, when no first power of unknown 287
Inconsistent equations 147
Index of a root 262
Inspection, solving for product of two binomials with like terms by 220
Integer(s), as rational numbers 264
Integer(s), defined 173
Intercepts of a graph 141—142
Interchanging numbers in addition 2 5
Interchanging numbers in multiplication 3 6
Inverse operations for transforming formulas 126
Inverse operations, solving simple equations using 23—24 32—33
Inverse variation 226
Inverse variation with constant product k 230
Inverse variation without constant 230
Inverse variation, multiplication and division in 231
Investment or interest problems 189
Irrational numbers 264—265
Isolated unknowns 128
Isosceles trapezoid 108 109
Isosceles triangle 108
Isosceles triangle, angles of an 180
Isosceles triangle, base angles of an 108
LCD see “Lowest common denominator”
Left member, left-hand side (of equality) 21
Legs (of right triangle) 108
Letter(s) for representing numbers 1
Letter(s), multiplication of a number by a 1
Letter(s), solving a formula for a 126
Like (similar) terms 13—14 64
Like radicals 271
Line symmetry 332
Line(s) of symmetry 332
Line(s), characteristics of 105—106
Line(s), curved 106
Line(s), duplicating/copying 328
Line(s), inclination of a 325
Line(s), reflections in 331—332
Line(s), slope of a 324—325
Line(s), straight 106
Linear equation(s), common solution to two 147
Linear equation(s), deriving, from a table of values 150—151
Linear equation(s), graphical solution to pair of 147
Linear equation(s), graphing 141—143
Linear equation(s), slope of line determined by 325
Linesegment(s), congruent 106
Linesegment(s), defined 106
Linesegment(s), dividing, into parts 106
Linesegment(s), midpoint of a 152
Literal addends 2
Literal coefficients 10
Literal coefficients in like terms 14
Literal equations, solving 96
Literal factors 3
Lowest common denominator (LCD) 93 251—252 346
Lowest terms, reducing fractions to 246
Maps 138—139
Mathematical modeling 197—199
Means (of a proportion) 306
Midpoint of a segment 152
Minuend 344
Minus sign 4 43—44 51
Mixed numbers 220 345
Mixed numbers, adding and subtracting 347—348
Mixed numbers, multiplying and dividing 347—348
Mixture problems 187
Monomial(s), adding 65
Monomial(s), defined 53
Monomial(s), dividing 75
Monomial(s), dividing a polynomial by a 76
Monomial(s), multiplication of polynomial by 72
Monomial(s), multiplying 71—72
Monomial(s), square of a 216
Monomial(s), square root of a 217
Monomial(s), subtracting 67
Motion problems 191
multiplicand 344
Multiplication and order of operations 8
Multiplication in direct variation 228
Multiplication in inverse variation 231
Multiplication of a number by a letter 1
Multiplication of decimals 349
Multiplication of factors in terms 10
Multiplication of fractions 248 346—347
Multiplication of mixed numbers 347—348
Multiplication of monomials 71—72
Multiplication of polynomial by monomial 72
Multiplication of polynomials 73
Multiplication of powers of the same base 71
Multiplication of signed numbers 53—54
Multiplication of square roots 272
Multiplication rule of equality 25 28
Multiplication, algebraic representation of 6
Multiplication, checking 3 345
Multiplication, division as inverse of 24 126
Multiplication, interchanging numbers in 3 6
Multiplication, repeated, of factors 11—12
Multiplication, simplifying 3
Multiplication, symbols for 4
Multiplication, terms used in 344
Multiplication, using, to solve equations 28 (see also “Product”)
Multiplier 344
n-gon 107
National Council of Teachers of Mathematics (NCTM) 197
negative numbers 43
Negative numbers, as square roots 262
Negative numbers, square and cube roots of 263
Number scale(s) 43
Number scale(s) with signed numbers 44—16
Number scale(s), defined 137
Number scale(s), forming a graph by combining 138
Number scale(s), horizontal vs. vertical 45
Number scale(s), origin on 44
Number scale(s), uses of 45—16
Number(s), factors of a 213
Number(s), finding the product of the sum and difference of two 217—218
Number(s), imaginary 263
Number(s), interchanging, in addition 2
Number(s), interchanging, in multiplication 3
Number(s), irrational 264—265
Number(s), letters for representing 1
| Number(s), mixed 220 345
Number(s), multiplication of a letter by a 1
Number(s), nth root of a 263
Number(s), Number problems, solving, with one unknown 169—170
Number(s), Number problems, solving, with two unknowns 171
Number(s), prime 213
Number(s), rational 264
Number(s), reciprocal of a 244
Number(s), square of a 215
Number(s), square root of a 216 262
Number(s), whole 343—345 (see also “Signed number(s)”)
Numerator, zero as 242
Numerical addends 2
Numerical coefficients 10
Numerical factors 3
Obtuse triangle 108
Octagon 107
Operations, expressing two or more 6
Operations, four basic 1
Operations, inverse 23—24 32—33
Operations, order of 8 9
Operations, symbolizing of 4
Operations, using a calculator to perform fundamental 353 (see also “Specific operations e.g. Addition”)
Order of addends 2
Order of factors 3
order of operations 8 9
Ordinate 138
Origin 44 137
parabola 294
Parallelogram(s) 108
Parallelogram(s), area of a 116
Parentheses 4 69
Parentheses and order of operations 9
Parentheses, evaluating expressions not containing 8
Parentheses, solving equations by removing 91
Pentagon 107
Percents 349—350
Perfect-square trinomial(s) as square of binomial 289
Perfect-square trinomial(s), factoring 223—224
Perimeter of a polygon 182
Perimeter problems 182
Perimeter, formula for 111
PI 111
Place value 343
Plane(s), characteristics of 106
Plane(s), transformations of the 331
Plato 105
Plus sign 43—14 48
Point symmetry 333—334
Point(s), axis of symmetry of two 330—331
Point(s), center of symmetry of two 330
Point(s), characteristics of 105
Point(s), coordinates of a 138
Point(s), distance between two 153 302
Point(s), locating a 138
Point(s), slope of a line through two 324—325
Polygon(s), area of a 115
Polygon(s), defined 106
Polygon(s), equiangular 107
Polygon(s), equilateral 107
Polygon(s), names of 107
Polygon(s), perimeterofa 111 182
Polygon(s), regular 107
Polygon(s), similar 307
Polyhedrons 109
Polynomial(s) in ascending order 66
Polynomial(s) in descending order 66
Polynomial(s), adding 66
Polynomial(s), arranging 66
Polynomial(s), common monomial factors of a 214
Polynomial(s), completely factoring 225
Polynomial(s), defined 53
Polynomial(s), dividing by a monomial 76
Polynomial(s), dividing by a polynomial 77
Polynomial(s), factors of a 213—214 225
Polynomial(s), highest common monomial factor of a 214—215
Polynomial(s), multiplication of monomial by 72
Polynomial(s), multiplying 73
Polynomial(s), subtracting 68
Polynomial(s), using grouping symbols to add or subtract 69
Positive number(s) 43
Positive number(s), square root of a 216
Power(s) 11
Power(s) of signed numbers 55
Power(s), dividing, with same base 74—75
Power(s), multiplying, with same base 71
Power(s), simplifying the square root of a 269
Prime numbers 213
Principal square root 216 262
Prism(s), defined 109
Prism(s), right 109
Prism(s), volume of a 121
Problem solving, age problems 175
Problem solving, angle problems 179—180
Problem solving, coin or stamp problems 185
Problem solving, consecutive-integer problems 173
Problem solving, cost and mixture problems 187
Problem solving, four steps of 169
Problem solving, graphical approach to 323
Problem solving, investment or interest problems 189
Problem solving, motion problems 191
Problem solving, number problems, having one unknown 169—170
Problem solving, number problems, having two unknowns 171
Problem solving, percentage problems 351
Problem solving, perimeter problems 182
Problem solving, ratio problems 176—177
PRODUCT 1
Product of the sum and difference of two numbers 217—218
Product, cross 219
Product, defined 344
Product, factors of a 213
Product, of two binomials with like terms 219—220
Product, of two reciprocals 244
Product, simplifying the square root of a 267—268
Proper fractions 345
Proportion rule 306—307
Proportionals 306
proportions 306—307
Pyramid(s) 109 110
Pyramid(s), regular 110
Pyramid(s), volume of a 121
Pythagoras 105 301
Pythagorean Theorem 301—302
Quadrants of a graph 138
Quadratic equation(s) in one unknown 284
Quadratic equation(s), completing the square as method for solving 289—290
Quadratic equation(s), factoring as method for solving 285
Quadratic equation(s), graphical solution to 293—294
Quadratic equation(s), incomplete 287—288
Quadratic equation(s), quadratic formula for solving 291—292
Quadratic equation(s), roots of a 285
Quadratic equation(s), standard form of a 284
Quadratic formula 291—292
Quadrilateral(s) 107
Quadrilateral(s), names of 108—109
Quotient 1 344
Radical equations, solving 276
Radical signs 262
Radicals 262
Radicals, like 271
Radicals, unlike 271
Radius(-ii) 107
Rate, percentage 350
Ratio method 151
Ratio problems 176—177
Ratio(s) 176
Ratio(s) and direct variation 227
Ratio(s) and similar triangles 307—308
Ratio(s), continued 176—177
Ratio(s), fractions as 241
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