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Math, Econ, and Basic Eng Services > ALEGBRA ELEMENTS > Flashcards

ALEGBRA ELEMENTS Flashcards

1
Q

for a give function, it is found that f(t) = f(-t). what type of symmetry does f(t) have?
a. odd symmetry
b. even symmetry
c. rotational symmetry
d. quarter-wave symmetry

A

even symmetry

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2
Q

which number has four significant figures?
a. 0.0014
b. 0.01414
c. 0.141
d. 1.4140

A

0.01414

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3
Q

naperian logarithm have a base closest to which number?
a. 2.17
b. 2.72
c. 3.14
d. 10

A

2.72

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4
Q

if the 2nd derivative of the eq. of a curve is equal to the negative of the eq. of that same curve, the curve is
a. an exponential
b. a sinusoid
c. a tangent
d. a parabola

A

a sinusoid

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5
Q

to find the angle of a triangle, given only the lengths of the sides, one would use
a. the law of cosines
b. the law of sines
c. the law of tangents
d. the inverse-square law

A

the law of cosines

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6
Q

which is true regarding the signs of the natural functions for angles between 90 and 180?
a. the tangent is positive
b. the cotangent is positive
c. the cosine is negative
d. the sine is negative

A

the cosine is negative

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7
Q

what is the inverse natural function of the cosecant?
a. secant
b. sine
c. cosine
d. cotangent

A

sine

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8
Q

the graphical presentation of a cumulative frequency distribution in a set of a statistical data is called
a. histogram
b. kurtosis
c. lepticurtic
d. ogive

A

Ogive

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9
Q

a statement of truth of which follows with little or no proof from a theorem.
a. axiom
b. hypothesis
c. corollary
d. conclusion

A

corollary

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10
Q

it is a sequence of numbers such that the successive terms differ by a constant.
a. arithmetic progression
b. infinite progression
c. geometric progression
d. harmonic progression

A

arithmetic progression

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11
Q

a frequency curve which is composed of series of rectangles constructed with the steps as the base and the frequency as the height.
a. histogram
b. ogive
c. frequency distribution
d. bar graph

A

histogram

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12
Q

if the roots of an equation are zero, then they are classified as
a. hyperbolic solution
b. zeros of function
c. extraneous roots
d. trivial solution

A

trivial solution

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13
Q

convergent series is a sequence of decreasing number or when the succeeding term is_______ the preceding term.
a. greater than
b. equal to
c. lesser than
d. none of the above

A

lesser than

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14
Q

if a=b then b=a. this illustrates what axiom in algebra?
a. symmetric axiom
b. reflexive axiom
c. transitive axiom
d. replacement axiom

A

symmetric axiom

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15
Q

A and B are independent events. the probability that event A will occur is Pa and the probability that A and B will occur is Pab. From these two statements, what is the probability that event B will occur?
a. Pa-Pab
b. Pb-Pab
c. Pa x Pb
d. Pab/Pa

A

Pab/Pa

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16
Q

two or more eq. are equal if and only if they have the same
a. solution set
b. degree
c. order
d. variable set

A

solution set

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17
Q

in any square matrix, when the elements of any two rows are exactly the same, the determinant is
a. zero
b. positive integer
c. negative integer
d. unity

A

zero

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18
Q

the ratio or product of two expressions in direct or inverse relation with each other is called
a. ratio and proportion
b. means
c. extremes
d. constant of variation

A

constant of variation

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19
Q

is a sequence of terms whose reciprocals form an arithmetic progression
a. geometric progression
b. harmonic progression
c. algebraic progression
d. ratio and proportion

A

harmonic progression

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20
Q

an array of m x n quantities which represent a single number system composed of elements in rows and columns is known as
a. transposed matrix
b. cofactor of a matrix
c. matrix
d. determinant

A

matrix

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21
Q

binary number system is a system of notation for real number that uses the place value method with 2 as the base. what us another name of the binary number system?
a. binary digits
b. binumber system
c. dyadic number system
d. bits

A

dyadic number system

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22
Q

the number 0.123123123… is a/an.
a. irrational number
b. surd
c. rational number
d. transcendental

A

rational number

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23
Q

MCMXCIV is the Roman numeral equivalent to
a. 1974
b. 1984
c. 1994
d. 2994

A

1994

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24
Q

a sequence of numbers where the succeeding term is greater than the preceding term is called
a. dissonant series
b. convergent series
c. divergent series
d. isometric series

A

divergent series

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25
Q

terms that differs only in numeric coefficients are known as
a. unlike terms
b. unequal terms
c. like terms
d. similar equations

A

like terms

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26
Q

in complex algebra, we use diagram to represent complex plane commonly called
a. argand diagram
b. venn diagram
c. maxwell diagram
d. cartesian diagram

A

argand diagram

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27
Q

7+0i is
a. an irrational number
b. real number
c. imaginary number
d. a variable

A

real number

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28
Q

the number of successful outcomes divided by the number of possible outcome is
a. odd
b. combination
c. permutation
d. probability

A

probability

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29
Q

if a two digit number has x for its unit digit and y for its tens digit, the number is represented as
a. x+y
b. y-x
c. 10y+x
d. 10x-y

A

10y+x

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30
Q

a statement of truth which is admitted without proof.
a. axiom
b. theorem
c. postulate
d. corollary

A

axiom

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31
Q

the part o theorem which is assumed to be true.
a. corollary
b. hypothesis
c. postulate
d. conclusion

A

hypothesis

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32
Q

a statement of truth which follows with little or no proof from the theorem
a. corollary
b. axiom
c. postulate
d. conclusion

A

corollary

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33
Q

refers to the construction of drawing of lines and figures the possibility of which is admitted without proof.
a. corollary
b. theorem
c. postulate
d. hypothesis

A

postulate

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34
Q

a mathematical statement which has neither been proved nor denied by counterexamples.
a. fallacy
b. conjecture
c. theorem
d. paradox

A

conjecture

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35
Q

a proved proposition which is useful mainly as a preliminary to the proof of a theorem.
a. lemma
b. hypothesis
c. postulate
d. corollary

A

lemma

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36
Q

axioms are propositions of a general logical nature (about equal or unequal) while _____ are propositions concerning objects and constructions.
a. theorems
b. corollaries
c. conclusions
d. postulates

A

postulates

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37
Q

a _____ is an ancillary theorem whose result is not target for the proof.
a. postulate
b. lemma
c. hypothesis
d. conclusion

A

lemma

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38
Q

statement that are accepted without discussion or proof are called axioms. the word “axiom” comes from the Greek “axioma”. which means
a. worth
b. correct
c. true
d. perfect

A

worth

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39
Q

in mathematical and other fields of logical reasoning, axioms are used as basis for the formulation of statements called
a. lemma
b. hypothesis
c. postulate
d. theorem

A

hypothesis

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40
Q

“the product of two or more number is the same in whatever order they are multiplied”. this refers to
a. associative law of addition
b. associative law of multiplication
c. commutative law of multiplication
d. distributive law of multiplication

A

commutative law of multiplication

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41
Q

if a=b, then b can replace a in any equation. this illustrates what law of identify?
a. reflexive law
b. law of symmetry
c. transitive law
d. substitution law

A

substitution law

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42
Q

if a=a, then it illustrates what law of identity?
a. reflexive law
b. law of symmetry
c. transitive law
d. substitution law

A

reflexive law

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43
Q

if a=b, and b=c, then a=c. this illustrates
a. reflexive law
b. law of symmetry
c. transitive law
d. substitution law

A

transitive law

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44
Q

the axiom which relates addition and multiplication is the _____ law.
a. commutative
b. associative
c. distributive
d. none of the above

A

distributive

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45
Q

any combination of symbols and numbers related by the fundamental operation of algebra is called a/an.
a. equation
b. algebraic expression
c. term
d. algebraic sum

A

algebraic expression

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46
Q

the algebraic expression consisting a sum of any number of terms is called a
a. multinomial
b. summation
c. binomial
d. monomial

A

multinomial

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47
Q

an equation which is satisfied by all values of the variable for which the members of the equation defined is known as
a. linear equation
b. rational equation
c. conditional equation
d. irrational equation

A

rational equation

48
Q

an equation in which some or all of the known quantities are represented by letters is called
a. redundant equation
b. literal equation
c. linear equation
d. defective equation

A

literal equation

49
Q

an equation in which variable appear under the radical symbol
a. irradical equation
b. irrational equation
c. quadratic equation
d. linear equation

A

irrational equation

50
Q

an equation which, because of some mathematical process, has required an extra root is sometimes called
a. redundant equation
b. literal equation
c. linear equation
d. defective equation

A

redundant equation

51
Q

any equation which, because of some mathematical process, has fewer roots than its original is sometimes called as
a. redundant equation
b. literal equation
c. linear equation
d. defective equation

A

defective equation

52
Q

an algebraic expression which can be represented as a quotient of two polynomials
a. irrational algebraic expression
b. reduced algebraic expression
c. rational algebraic expression
d. complex algebraic expression

A

rational algebraic expression

53
Q

a statement containing one or more variables and having the property that it becomes either true or false when the variables are given specific values from their domains.
a. solution
b. problem
c. open sentence
d. worded problem

A

open sentence

54
Q

any algebraic term is a/an _____ term in certain representing numbers if it is consists of the product of possible integral powers of these numbers and a factor not containing them.
a. integral
b. rational
c. irrational
d. integral rational

A

integral rational

55
Q

an equation in x and y which is not easily solved for y in terms of x is called
a. explicit
b. implicit function
c. discontinuity
d. quadratic

A

implicit function

56
Q

the numbers which are represented with letters
a. variables
b. unknowns
c. literal numbers
d. terms

A

c. literal numbers

57
Q

Equation whose members are equal only for certain or possibly no value of the unknown

a. conditional equations
b. inequalities
c. unconditional equations
d. temporary equations

A

a. conditional equations

58
Q

an algebraic expression consisting of one term
a. monomial
b. binomial
c. linear
d. monomode

A

a. monomial

59
Q

in algebra, this consists of products and quotients of ordinary numbers and letters which represent numbers
a. expression
b. term
c. equation
d. coefficient

A

b. term

60
Q

an expression of two terms is called
a. polynomial
b. duomial
c. binomial
d. all of the above

A

c. binomial

61
Q

the degree of polynomial or equation is the
a. maximum exponent
b. maximum sum of the exponents
c. exponent of the first variable
d. maximum exponent of x

A

b. maximum sum of the exponents

62
Q

what is the degree of the polynomial 3x^4 y + 2x^3 z^3 - 4 y z^2

a. 6th
b. 5th
c. 4th
d. 3rd

A

a. 6th

63
Q

any fractions which contains one or more fractions in either numerator or denominator, or both is called
a. compound fraction
b. composite fraction
c. complex fraction
d. all of the above

A

c. complex fraction

64
Q

a common fraction with unity for numerator and a positive integer as denominator (i.e 1/n)
a. ordinary fraction
b. unit fraction
c. common fraction
d. improper fraction

A

b. unit fraction

65
Q

if the absolute value of the numerator of a fraction is smaller than the denominator, it is called
a. proper fraction
b. improper fraction
c. decimal fraction
d. mixed number

A

a. proper fraction

66
Q

a number that consists of an integer part (which may be zero ) and a decimal part less than unity that follows the decimal marker, which may be a point or a comma
a. proper fraction
b. improper fraction
c. decimal fraction
d. mixed number

A

c. decimal fraction

67
Q

considered as the counting numbers
a. integers
b. rational numbers
c. irrational numbers
d. natural numbers

A

d. natural numbers

68
Q

a number represented by a non-terminating, non-repeating decimal.
a. irrational number
b. rational number
c. natural number
d. integer

A

irrational number

69
Q

the completeness axiom proved that the real number system has numbers other than
a. integers
b. rational numbers
c. natural number
d. irrational numbers

A

rational numbers

70
Q

the concept of spread of a random variable or a set of observations
a. variance
b. standard deviation
c. dispersion
d. range

A

dispersion

71
Q

a number containing containing a non-terminating but repeating decimal is a/an.
a. integer
b. rational number
c. natural number
d. irrational number

A

rational number

72
Q

a positive integer which has no perfect square factor greater than 1.
a. radical expression
b. square integer
c. square integer
d. square-free integer

A

square-free integer

73
Q

number are used to describe a
a. magnitude
b. position
c. magnitude and position
d. none of the above

A

magnitude and position

74
Q

are symbols or combinations of symbols which describe a number.
a. numerals
b. digits
c. terms
d. notations

A

numerals

75
Q

which of the following is not classified as an integer?
a. negative numbers
b. positive numbers
c. zero
d. imaginary numbers

A

imaginary numbers

76
Q

when an imaginary number is raised to an even exponent, it
a. becomes infinite
b. becomes negative imaginary numbers
c. becomes relatively small number
d. becomes real number

A

becomes real number

77
Q

the complex number is in the form of a + bi. if a=0, what do you call the resulting number?
a. absolute value of the complex number
b. pure imaginary number
c. argument
d. irrational number

A

pure imaginary number

78
Q

for a complex number a+bi, the real number √ a^2+b^2 is _____ of the complex number.
a. absolute value
b. magnitude
c. modulus
d. all of the above

A

all of the above

79
Q

the _____ of two complex number is found by multiplying each term of the one by every term of the other.
a. sum
b. difference
c. product
d. quotient

A

product

80
Q

a number which can be expressed as a quotient of two integers (division of zero excluded) is called
a. irrational number
b. rational number
c. imaginary number
d. real number

A

rational number

81
Q

a prime number has exactly how many divisors?
a. 1
b. 2
c. 3
d. 4

A

2

82
Q

a prime number is an integer greater than 1 which has
a. 1 as its only positive divisor
b. itself as its only positive divisor
c. 1 and itself as its only positive divisors
d. 1 and its additive inverse as its only positive divisor

A

1 and itself as its only positive divisors

83
Q

an integer which is the product of two integers, both different from 1 and -1 called
a. prime number
b. composite number
c. rational number
d. compound number

A

composite number

84
Q

a composite number has a least _____ divisors.
a. 1
b. 2
c. 3
d. 4

A

3

85
Q

two natural numbers a and b are ____ if their greatest common divisor is 1.
a. relatively prime
b. relatively composite
c. equal
d. reciprocal

A

relatively prime

86
Q

numbers used to count the objects or ideas in a given collection.
a. cardinal numbers
b. irrational numbers
c. ordinal numbers
d. numerals

A

cardinal numbers

87
Q

numbers which is used to state the position of individual objects in a sequence.
a. cardinal numbers
b. irrational numbers
c. ordinal numbers
d. numerals

A

ordinal numbers

88
Q

an integer number that is equal to the sum of all its possible divisors except the number itself is called.
a. amicable number
b. perfect number
c. defective number
d. redundant number

A

perfect number

89
Q

an integer the sum of all its possible divisors except the number itself is greater than the integer is called
a. abundant number
b. perfect number
c. defective number
d. amicable number

A

abundant number

90
Q

an integer the sum of all its possible divisors except the number itself is less than the integer is called
a. abundant number
b. amicable number
c. friendly number
d. defective number

A

defective number

91
Q

what is the smallest perfect number possible?
a. 1
b. 6
c. 12
d. 8

A

6

92
Q

all perfect numbers are
a. even numbers
b. odd numbers
c. prime numbers
d. composite numbers

A

even numbers

93
Q

two integer numbers are said to be _____ if each is the sum of all possible divisors of the other.
a. perfect numbers
b. defective numbers
c. amicable numbers
d. fermat’s numbers

A

amicable numbers

94
Q

what is another name for amicable numbers?
a. compatible numbers
b. friendly numbers
c. fermats numbers
d. inconsistent numbers

A

friendly numbers

95
Q

what is the smallest pair of friendly number?
a. 180 and 190
b. 200 and 120
c. 220 and 284
d. 220 and 264

A

220 and 284

96
Q

prime number that appear in pair and differ by (eg. 3 and 5,11 and 13 etc.) are called
a. mersenne primes
b. prime number theorem
c. twin primes
d. pseudo primes

A

twin primes

97
Q

every even integer greater than 2 can be written as the sum of two primes. this is known as
a. fermats last theorem
b. goldbach conjecture
c. prime number theorem
d. mersenne primes

A

goldbach conjecture

98
Q

every positive integer greater than 1 is a prime or can be expresses as a unique product of primes and powers. this is known as
a. fundamental theorem of arithmetic
b. pseudo prime theorem
c. prime number theorem
d. mersenne’s theorem

A

fundamental theorem of arithmetic

99
Q

every sufficiently large off number can be expresses as a sum of three prime numbers. this known as
a. goldbach conjecture
b. vinogradovs theorem
c. pascals law
d. mersennes theorem

A

vinogradovs theorem

100
Q

the term “ratio” comes from Latin verb “ratus” meaning
a. to divide
b. to estimate
c. to get the mean
d. to make a proportion

A

to estimate

101
Q

in the proportion of four quantities, the first and fourth terms are referred to as the
a. means
b. extremes
c. denominators
d. numerators

A

extremes

102
Q

the first term of a ratio is called
a. antecedent
b. consequent
c. mean
d. extreme

A

antecedent

103
Q

the second term of a ratio is called
a. antecedent
b. mean
c. consequent
d. extreme

A

consequent

104
Q

the ____ is the square root of the product of the extremes.
a. antecedent
b. consequent
c. mean proportional
d. mean

A

mean proportional

105
Q

if the means of a proportion are equal, their common value is called
a. mean
b. extreme
c. mean proportional
d. extreme proportional

A

mean proportional

106
Q

the theorem that in every arithmetic progression a, a+d, a=2d,…, where a and d are relatively prime.
a. Fibonacci theorem
b. gauss theorem
c. lejeune theorem
d. dirichlet theorem

A

dirichlet theorem

107
Q

a statement that one mathematical expression is greater than or less than another is called
a. absolute condition
b. non-absolute condition
c. inequality
d. conditional expression

A

inequality

108
Q

if an equality is true for all values of the variable, it is a/an
a. conditional equality
b. equivalent equality
c. absolute inequality
d. non-conditional inequality

A

absolute inequality

109
Q

if the same number is added to both sides of an inequality, the inequality
a. becomes negative
b. becomes positive
c. is reversed
d. is preserved

A

is preserved

110
Q

an inequality is preserved if both sides are multiplied by
a. zero
b. -1
c. a positive number
d. a negative number

A

a positive number

111
Q

an inequality is reversed if both sides are multiplied by
a. zero
b. -1
c. a positive number
d. a negative number

A

a positive number

112
Q

division of a population or same into two groups based either on measurable variables (eg. age under 18, age over 180) or on attributes (e.g. male, female).
a. decomposition
b. denomination
c. deviance
d. dichotomy

A

dichotomy

113
Q

a 3x2 matrix can be multiplied to a
a. 3x2 matrix
b. 3x3 matrix
c. 2x5 matrix
d. row matrix

A

2x5 matrix

114
Q

if there are as many equations as unknowns, the matrix of the coefficient is a
a. row matrix
b. column matrix
c. square matrix
d. rectangular matrix

A

square matrix

115
Q

a method of solving linear equation with several unknowns simultaneously using determinants
a. simpson’s rule
b. cramer’s rule
c. trapezoidal rule
d. chain rule

A

cramer’s rule

116
Q

using cramer’s rule, the determinant of the coefficient is always is always the
a. numerator of a quotient
b. denominator of a quotient
c. the quotient itself
d. none of the above

A

denominator of a quotient

117
Q

in any square matrix, when the elements of any tow rows are exactly the same (i.e. row 1 = row 2 or row 1 = row 3, or row 2 = row 3…), the determinant is
a. zero
b.

A

Math, Econ, and Basic Eng Services (2 decks)

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