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Rich B., Schmidt Ph. — Schaum's Outline of Elementary Algebra (Schaum's Outline Series)
Rich B., Schmidt Ph. — Schaum's Outline of Elementary Algebra (Schaum's Outline Series)



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Название: Schaum's Outline of Elementary Algebra (Schaum's Outline Series)

Авторы: Rich B., Schmidt Ph.

Аннотация:

Schaum's Outlines contain hundreds of solutions to problems covered in any college course. This guide, which can be used with any text or can stand alone, contains at the beginning of each chapter a list of key definitions, a summary of major concepts, step by step solutions to dozens of problems, and additional practice problems.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 3rd Edition

Год издания: 2004

Количество страниц: 400

Добавлена в каталог: 22.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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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