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Review > Algebra > Flashcards

Algebra Flashcards

1
Q

The part of theorem which is assumed to be true

a. corollary
b. postulate
c. hypothesis
d. conclusion

A

Hypothesis

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2
Q

A statement of truth which follows with little or no proof from the theorem

a. corollary
b. postulate
c. axiom
d. conclusion

A

Corollary

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3
Q

A statement of which is admitted without proof

a. axiom
b. postulate
c. theorem
d. conclusion

A

axiom

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4
Q

Refers to the construction of drawing lines and figures the possibility of which is admitted without proof

corollary
postulate
theorem
hypothesis

A

postulate

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5
Q

a proved proposition which is useful mainly as a preliminary to the proof a theorem.

lemma
postulate
hypothesis
corollary

A

lemma

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6
Q

a mathematical statement which has neither been proved nor denied by counterexamples

fallacy
theorem
conjecture
paradox

A

conjecture

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7
Q

statements that are accepted without discussion or proof are called axioms. the word “axiom” comes from the greek “axioma” which means

worth
correct
true
perfect

A

worth

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8
Q

In mathematical and other fields of logical reasoning, axioms are used as a basis for the formulation of statements called:

lemma
hypothesis
postulate
theorem

A

hypothesis

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9
Q

“the product of two or more number is the same in whatever order they are multiplied.” this refers to

Associative law of addition
Associative law of multiplication
commutative law of multiplication
distributive law of multiplication

A

commutative law of multiplication

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10
Q

if a = b, then b can replace a in any equation. this illustrates what law of identity?

Reflexive law
transitive law
law of symmetry
substitution law

A

substitution law

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11
Q

if a = a, then it illustrates what law of identity

Reflexive law
transitive law
law of symmetry
substitution law

A

Reflexive law

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12
Q

if a = b, and b = c, then a = c. this illustrates:

Reflexive law
transitive law
law of symmetry
substitution law

A

transitive law

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13
Q

the axiom which relates addition and multiplication is the ______ law.

Commutative
distributive
associative
none of the above

A

distributive

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14
Q

any combination of symbols and numbers related by the fundamental operation of algebra is called a/an:

equation
term
algebraic expression
algebraic sum

A

algebraic expression

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15
Q

the algebraic expression consisting a sum of any number of terms is called a:

multinomial
binomial
summation
monomial

A

multinomial

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16
Q

an equation which is satisfied by all values of the variable for which the members of the equation defined is known as

linear equation
conditional equation
rational equation
irrational equation

A

rational equation

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17
Q

an equation in which some or all of the known quantities are represented by letters is called:

redundant equation
linear equation
literal equation
defective equation

A

literal equation

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18
Q

equation in which the variable appear under the radical symbol

irradical equation
quadratic equation
irrational equation
linear equation

A

irrational equation

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19
Q

an equation which, because of some mathematical process, has required an extra root is sometimes called as:

redundant equation
linear equation
literal equation
defective equation

A

redundant equation

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20
Q

an algebraic expression consisting of one term

monomial
linear
binomial
monomode

A

monomial

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21
Q

in algebra, this consist of products and quotients of ordinary numbers and letter which represent number

expression
equation
term
coefficient

A

term

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22
Q

an expression of two terms is called

polynomial
binomial
duomial
all of the above

A

binomial

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23
Q

the degree of a polynomial or equation is the:

maximum exponent
exponent of the first variable
maximum sum of exponents
maximum exponent of x

A

maximum sum of exponents

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24
Q

any fraction which contains one or more fraction in wither numerator or denominator, or both is called:

compound fraction
complex fraction
composite fraction
all of the above

A

complex fraction

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25
Q

a number that consist 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

proper fraction
decimal fraction
improper fraction
mixed fraction

A

decimal fraction

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26
Q

considered as the “ counting number”

integers
irrational numbers
rational numbers
natural numbers

A

natural numbers

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27
Q

a number represented by a non-terminating, non- repeating decimal

irrational number
natural number
rational number
integer

A

irrational number

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28
Q

the completeness axiom proved that the real number system has numbers other than:

irrational number
natural number
rational number
integer

A

rational number

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29
Q

venn diagram for sets was introduced by:

venn weierstrass
darbooux venn
venn euler
john venn

A

john venn

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30
Q

two integer numbers are said to be ________ if each is the sum of all possible divisors of the other

perfect number
amicable number
defective number
fermat’s number

A

amicable number

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31
Q

what is another name for amicable numbers?

compatible
fermats
friendly
inconsistent

A

friendly numbers

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32
Q

prime numbers that appear in pair and differs by 2 are called:

mersenne primes
twin primes
prime number theorem
pseudo primes

A

twin primes

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33
Q

a succession of numbers in which one number is designated as first, another as 2nd, another as 3rd so on is called:

series
arrangement
sequence

A

sequence

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34
Q

an indicated sum a1 + a2 +a3 +…. is called

series
arrangement
sequence
partial sum

A

series

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35
Q

a progression whose reciprocal forms an arithmetic progression:

arithmetic mean
geometric progression
harmonic means
harmonic progression

A

harmonic progression

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36
Q

the number between two geometric terms

means
geometric means
arithmetic means
median

A

geometric meanst

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37
Q

he sum of the first n terms of a series is called the nth

sum
arrangement
sequence
partial sum

A

partial sum

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38
Q

the sum of the terms of an arithmetic progression

arithmetic means
arithmetic series
arithmetic sequence
all of these

A

arithmetic series

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39
Q

are number which can be drawn as dots and arranged in triangular shape

triangular number
pentagonal numbers
square numbers
tetrahedral numbers

A

triangular number

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39
Q

a figure numbers which can be drawn as dots and arranged in square shape

cubic number
pyramid numbers
square numbers
pentagon numbers

A

square numbers

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40
Q

the fundamental principle of counting states that if one thing can be done in “m” different ways and another thing can be done in “n” different ways, then the two things can be done in ________ different ways

m+n
mxn
m!+n!
mn

A

mxn

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41
Q

is the arrangement of the objects in specific order

permutation
probability
combination
all of the above

A

permutation

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42
Q

a sequence of numbers where the succeeding terms is greater than the preceding term.

isometric series
dissonant series
divergent series
convergent series

A

divergent series

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43
Q

the process of reasoning where in a final conclusion is obtained by experimental method.

Mathematical deduction
Mathematical conversion
Mathematical opposition
Mathematical induction

A

Mathematical deduction

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44
Q

the set of all subsets of a given set, containing the empty set and the original set.

intersection
proper subset
power set
improper subset

A

power set

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45
Q

an integer number that is equal to the sum of all its possible divisor except the number itself is called:

amicable number
defective number
perfect number
redundant number

A

perfect number

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46
Q

an integer the sum of all its possible divisors except the number itself is greater than the integer is called:

amicable number
defective number
perfect number
abundant number

A

abundant number

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47
Q

an integer the sum of all its possible divisors except the number itself is less than the integer is called:

amicable number
defective number
friendly number
abundant number

A

defective number

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48
Q

a statement of truth which is admitted without proof

axiom
postulate
theorem
corollary

A

axiom

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49
Q

a sequence 1,5 ,12 ,22 ,35 ,…. is known as

oblong numbers
cubic numbers
pentagonal numbers
pyramid numbers

A

pentagonal numbers

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50
Q

the part of theorem which is assumed to be true

hypothesis
postulate
conclusion
corollary

A

hypothesis

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51
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

solution
open sentence
problem
worded problem

A

open sentence

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52
Q

a number which can be expressed as a quotient of two integers (division of zero excluded) is called

irrational number
imaginary
rational
real

A

rational

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53
Q

a prime number has exactly how many divisor
1
2
3
4

A

2

54
Q

a prime number is an integer greater than 1 which has

-1 as its only positive divisor
-itself as its only divisor
-1 and itself as its only positive divisor
-1 and it additive inverse as its only positive divisor

A

1 and itself as its only positive divisor

55
Q

a composite number has at least _______ divisor
1
2
3
4

A

3

56
Q

two natural numbers a and b are ______. if their greatest common divisor is 1.

relatively prime
equal
relative composite
reciprocal

A

relatively prime

57
Q

numbers used to count the objects or ideas in a given collection

cardinal
ordinal
irrational
numerals

A

cardinal

58
Q

what is the smallest perfect number possible
1
6
12
8

A

6

59
Q

all perfect numbers are

even
prime
composite
odd

A

even

60
Q

what is the smallest pair of friendly number

180 and 190
200 and 120
220 and 284
220 and 264

A

220 and 284

61
Q

” every even integer greater than 2 can be written as the sum of two primes” this is known as :

fermat’s last theorem
prime number theorem
goldbach conjecture
mersenne primes

A

goldbach conjecture

62
Q

” every sufficiently large off number can be expressed as a sum of three prime numbers” this is known as :

Goldbach conjecture
Pascal’s law
Vinogradov’s theorem
Mersenne’e theorem

A

Vinogradov’s theorem

63
Q

the term “ ratio” comes from latin verb “ratus” meaning

to divide
to get the mean
to estimate
to make a proportion

A

to estimate

64
Q

the second term of a ratio is called

antecedent
mean
consequent
extreme

A

consequent

65
Q

if the mean of proportion are equal, their common value is called

mean
mean proportional
extreme
extreme proportional

A

mean proportional

66
Q

the theorem that in every arithmetic progression a, a + d,a + 2d, ….., where a and b are relatively prime.

Fibonacci theorem
lejeune theorem
gauss theorem
dirichlet theorem

A

dirichlet theorem

67
Q

if the same number is added to both sides of an inequality, the inequality is

becomes negative
is reversed
becomes positive
is preserved

A

is preserved

68
Q

an inequality is preserved if both sides are multiplied by

0
positive number
-1
negative number

A

positive number

69
Q

an inequality is reserved if both sides are multiplied by

0
positive number
-1
negative number

A

positive number

70
Q

division of a population or same into two groups based either on measurable variables or on attributes

decomposition
deviance
denomination
dichotomy

A

dichotomy

71
Q

an irrational number which is a root of a positive integer of fraction is called

radical
radix
surd
radicant

A

surd

72
Q

the rules of combining radicals follows the rules for

signed numbers
fractional exponents
logarithms
factoring

A

fractional exponents

73
Q

when the corresponding elements of two rows of a determinant are proportional, then the value of the determinant is

one
indeterminate
infinite
zero

A

zero

74
Q

an array of MxN quantites which represent a single number and is composed of elements in rows and columns is known as

transpose of a matrix
co-factor of a matrix
determinant
matrix

A

matrix

75
Q

to eliminate a surd, multiply it by its

square
cube
reciprocal
conjugate

A

conjugate

76
Q

A radical which is equivalent to a non-terminating and non-repeating decimal

irrational number
surd
natural number
transcendental number

A

surd

77
Q

what determines the nature of the roots of a quadratic equation

coefficient
factors
discriminant
all of the above

A

discriminant

78
Q

if the discriminant of a quadratic equation is less than zero, the equation has

no real roots
two real roots
one root only
none of the above

A

no real roots

79
Q

when can we say that two roots of a quadratic equation are equal

A

when the discriminant is zero

80
Q

a sequence 1, 4, 10,20, 35, 56 …. is known as

pyramid numbers
tetrahedral numbers
cubic numbers
square numbers

A

tetrahedral numbers

81
Q

a sequece of numbers where that number is equal to the sum of the two preceding numbers such as 1, 1, 2, 3, 5, 8, 13, 21 … is called

fermat’s numbers
gaussian numbers
fibonacci numbers
archimedean numbers

A

fibonacci numbers

82
Q

all real numbers have additive inverse, commonly called

reciprocals
opposites
addends
equivalent

A

opposites

83
Q

all real numbers except 0 have multiplicative inverses, commonly called

equivalents
factors
opposites
reciprocals

A

reciprocals

84
Q

the number zero has no

A

multiplicative inverse

85
Q

if the sign between the terms of the binomial is negative, its expansion will have signs which are

all positive
alternate starting with positive
all negative
alternate starting with negative

A

alternate starting with positive

86
Q

when the factors of a product are equal, the product is called a/an ________ of the repeated factor

coefficient
identity
power
algebraic sum

A

power

87
Q

a symbol holding a place for an unspecifies constant is called

arbitrary constant
variable
parameter
all of the above

A

all of the above

88
Q

the sum of any point number and its reciprocal is

always less than 2
always equal to 2
always greater than 2
always equal to the number’s additive inverse

A

always greater than 2

89
Q

what is the absolute value of a number less than one but greater than negative one raised to exponent infinity

infinity
zero
one
indeterminate

A

zero

90
Q

the absolute value of a non-zero number is

always zero
always positive
always negative
sometimes zero and sometimes positive

A

always positive

91
Q

a polynomial which is exactly divisible by two or more polynomials is called

least common denominator
factors
common multiple
binomial

A

common multiple

92
Q

a polynomial with real coefficient can be factored into real linear factors and irreducible _____________ factors.

linear
quadratic
cubic
repeated

A

quadratic

93
Q

if the degree of the numerator is one more than the degree of the denominator, the quotient is a _________ polynomial

linear
quadratic
cubic
quartic

A

linear

94
Q

for every law of addition and subtraction, there is a parallel law for multiplication and division, except division by

negative values
zero
one
positive values

A

zero

95
Q

refers to the numbers which are not the roots of any algebraic equation

irrational numbers
imaginary numbers
transcendental numbers
composite

A

transcendental numbers

96
Q

all number multiplied by ____ equals unity

negative of the number
conjugate
one
its reciprocal

A

its reciprocal

97
Q

when the absolute error is divided by the true value, the quotient is called as

relative error
residue
gradient
slope

A

relative error

98
Q

a set of numbers arrange in a definite order.

permutation
combination
progression
mathematical sequence

A

permutation

99
Q

if the roots of an equation are zero then, how do you classify the solutions?

extranous solutions
conditional solutions
trivial solutions
ambiguous solutions

A

trivial solutions

100
Q

a value not exact but might be accurate enough for some specific consideration

interpolation
assumption
eigen value
approximation

A

approximation

101
Q

how do you call the opposite of the prefix of nano

peta
tera
giga
hexa

A

giga

102
Q

the ____ of the permutation is the number of elements in the collection belong permuted.

index
sequence
order
degree

A

degree

103
Q

this is the measure of central tendency defined as the most frequent score. how do you call this measure of central tendency

median
mode
mean
deviation

A

mode

104
Q

the number of permutations of n different things taken n at a time is:

(n-1)!
(n+1)!
n x n
n!

A

n!

105
Q

any number expressed in place-value notation with base 12 is known as

duodecimal
deonite
decile
dedekind

A

duodecimal

106
Q

the number of cyclical permutations of n different things taken at a time is:

(n-1)!
(n+1)!
n x n
n!

A

(n-1)!

107
Q

a group of all or of any part of the things without regard to the order of the things in this group is:

permutation
combination
progression
induction

A

combination

108
Q

this is use for expressing wavelengths of light or ultraviolet radiation with a unit or length equal to 10^(-10)metre.

mersenne number
midae
light year
angstrom

A

angstrom

109
Q

two integer number are said to be ___________ if each is the sum of all possible divisors of the other

perfect numbers
amicable numbers
defective numbers
fermta’s number

A

amicable numbers

110
Q

a prefix denoting a multiple of 10 times any of the physical units of the system international.

deka
nano
hecto
exa

A

deka

111
Q

this is the case of a solution of an plane triangle where the given data leads to two solutions. how do you call this case?

ambiguous case
extraneous case
quadratic case
conditional case

A

ambiguous case

112
Q

a series of numbers in which each number or term is derived from the preceding number by adding a constant value to it is know as:

geometric sequence
analytical sequence
arithmetic sequence
differential sequence

A

arithmetic sequence

113
Q

it is a statement that one mathematical expression is greater than or less than another.

conditional expression
inequality
interval
domain

A

inequality

114
Q

an algebraic expression having two variables in it. for example, 3x + y is called

boolean algebra
matrix
elementary algebra
laplace

A

boolean algebra

115
Q

a logarithm having a base of 10 is called

natural logarithm
briggsian logarithm
complex logarithm
naperian logarithm

A

briggsian logarithm

116
Q

a mathematical method that combines two numbers, quantities, etc., to give a third quantity. an example is the multiplication of two numbers in arithmetic.

binary operation
trinomial
polynomial
sequence

A

binary operation

117
Q

it is a high-level programming language for the computer used to express mathematical and scientific problems in a manner that resembles. english rather than computer notations

algol
cobol
pascal
aldus

A

algol

118
Q

it refers to a statistical distribution having two distinct peaks of frequency distribution

bimodal
biaxial
binomial
bilingual

A

bimodal

119
Q

in complex algebra, we use a diagram to represent a complex plane commonly called as:

venn diagram
argand diagram
histogram
funicular diagram

A

argand diagram

120
Q

a system of units based on time, length, and mass is called _______.

absolute system
cgs system
gravitational system
mks system

A

mks system

121
Q

what is the logarithm of a negative number

complex number
irrational number
real number
imaginary number

A

complex number

122
Q

a sequence of numbers where every term is obtained by adding all the preceding terms a square number series such as 1,5, 14, 30 , 55,91 ….

pyramid number
euler’s number
tetrahedral number
triangular number

A

pyramid number

123
Q

a triangular array numbers forming the coefficient of the expansion of a binomial called

egyptian triangle
pascal’s triangle
golden triangle
bermuda triangle

A

pascal’s triangle

124
Q

the set of all subsets of a given set, containing the empty set and original set

intersection
proper subset
power set
improper subset

A

power set

125
Q

the the number of combinations of the n things r at a time is the same as the number of combination _____ at a time

n+r
nr
n/r
n-r

A

n-r

126
Q

when the factors of aproduct are equal, the product is called a/an __________ of the repeated factor.

coefficient
identity
power
algebraic sum

A

power

127
Q

number which cannot be expressed as a quotient of two integers

natural
rational
irrational
surd

A

irrational

128
Q

what is the absolute name for zero

cipher
none
null
empty

A

cipher

129
Q

it is a collection of numbers or letters used to represent a number arrange properly in rows and columns

determinant
array
matrix
equation

A

matrix / array

130
Q

this is a series of sequential method for carrying out a desire procedure to solve problems.

algorithm
hypsogram
logarithm
angstrom

A

algorithm

131
Q

10 to the negative power of 18 is the value of prefix:

atto
femto
micro
pico

A

atto

132
Q

the whole is greater than any one of its parts. this statement is known as:

postulate
hypothesis
axiom
theorem

A

axiom

133
Q
A

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