NEW
Font size
WorksheetsELEMENTS_ALGEBRA
Total questions: 65
Worksheet time: 33mins
For a given function, it is found that f(t) = f(-t). What type of symmetry does f(t) have?
odd symmetry
even symmetry
rotational symmetry
quarter-wave symmetry
Which number has four significant figures?
0.0014
0.01414
0.141
1.4140
Naperian logarithm have a base closest to which number?
2.17
2.72
3.14
10
If the second derivative of the equation of a curve is equal to the negative of the equation of that same curve, the curve is
an exponential
a sinusoid
a tangent
a parabola
To find the angle of a triangle, given only the lengths of the sides, one would use
the law of cosines
the law of sines
the law of tangents
the inverse-square law
Which is true regarding the signs of the natural functions for angles between 90° ang 180°?
The tangent is positive
The cotangent is positive
The cosine is negative
The sine is negative
What is the inverse natural function of the cosecant?
secant
sine
cosine
cotangent
The graphical presentation of a cumulative frequency distribution in a set of statistical data is called ______.
Histogram
Kurtosis
Leptokurtic
Ogive
A statement of truth of which follows with little or no proof from a theorem.
Axiom
Hypothesis
Corollary
Conclusion
A frequency curve which is composed of series of rectangles constructed with the steps as the base and the frequency as the height.
Histogram
Ogive
Frequency distribution
Bar graph
If the roots of an equation are zero, then they are classified as
hyperbolic solution
zeros of function
extraneous roots
trivial solution
Convergent series 8is a sequence of decreasing number or when the succeeding term is ______ the preceding term.
greater than
equal to
lesser than
none of the above
If a = b then b = a. This illustrates what axiom in algebra?
Symmetrical Axiom
Reflexive Axiom
Transitive Axiom
Replacement Axiom
A nad B are Independent events. The probability that event A will occur in 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?
Pa - Pab
Pb - Pab
Pa x Pb
Pab / Pa
Two or more equations are equal if and only they have the same
solution set
degree
order
variable set
If any square matrix, when the elements of any two rows are exactly the same, the determinant is
zero
positive integer
negative integer
unity
he ratio of two products of two expressions in direct or inverse relation with each other is called
ratio and proportion
means
extremes
constant of variation
Is a sequence of terms whose reciprocals form an arithmetic progression?
Geometric progression
Harmonic progression
Algebraic progression
Ratio and proportion
An array of m x n quantities which represent a single number system composed of elements in rows and columns is knows as
Transposed matrix
Cofactor of a matrix
Matrix
Determinant
Binary number system is a system of notation for real number that uses the place value method with 2 as the base. What is another name of the binary number system?
Binary digits
Binumber system
Dyadic number system
Bits
.123123123123... is a/an
irrational number
surd
rational number
transcendential
MCMXCIV is the Roman numeral equivalent to
1974
1984
1994
2994
A sequence of numbers where the succeeding term is greater than the preceding term is called
dissonant series
convergent series
divergent series
isometric series
Terms that differs only in numeric coefficients are known as
unlike terms
unequal terms
like terms
similar equations
In complex algebra, we use diagram to represent complex plane commonly called
Argand diagram
Venn diagram
Maxwell diagram
Cartesian diagram
7 + 0i is
an irrational number
real number
imaginary number
a variable
The number of successful outcomes divided by the number of possible outcomes is
odd
combination
permutation
probability
If a two digit number has x for its unit digit and y for its tens digit, the number is represented as
x + y
x - y
10y + x
10x - y
A statement of truth which is admitted without proof
Axiom
Theorem
Postulate
Corollary
The part of theorem which is assumed to be true.
Corollary
Hypothesis
Postulate
Conclusion
A statement of truth which follows with little or no proof from the theorem.
Corollary
Axiom
Postulate
Conclusion
Refers to the construction of drawing of lines and figures the possibility of which is admitted without proof.
Corollary
Theorem
Postulate
Hypothesis
A mathematical statement which has neither been proved nor denied by counterexample.
Fallacy
Conjecture
Theorem
Paradox
A proved proposition which is useful mainly as a preliminary to the proof of a theorem.
Lemma
Hypothesis
Postulate
Corollary
Axioms are propositions of a general logical nature (about equal or unequal) while ______ are propositions concerning objects and constructions.
theorems
corollaries
conclusions
postulates
A ______ is an ancillary theorem whose result is not target for the proof.
postulate
lemma
hypothesis
conclusion
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
In mathematical and other fields of logical reasoning, axioms are used as a basis for the formulation of statements called
lemma
hypothesis
postulate
theorem
"The product of of two or more number is the same in whatever order they are multiplied." This refers to
Associate law of addition
Associate law of multiplication
Commutative law of multiplication
Distributive law or multiplication
If a = b, then b can replace a in any question. This illustrates what law of identity?
Reflexive law
Law of symmetry
Transitive law
Substitution law
If a = a, then it illustrates what law of identity?
Reflexive law
Law of symmetry
Transitive law
Substitutional law
If a = b, and b = c, then a = c. This illustrate
reflexive law
law of symmetry
transitive law
substitution law
The axiom which relates addition and multiplication is the _____ law.
Any combination of symbols and numbers related by the fundamental operation of algebra is called a/an
Equation
Algebraic expression
Term
Algebraic sum
The algebraic expression consisting a sum of any number of terms is called a
multinomial
summation
binomial
monomial
An equation which is satisfied by all values of the variable for which the members of the equation defined is known as
linear equation
rational equation
conditional equation
irrational equation
An equation in which some or all of the known quantities are represented by letters is called
redundant equation
literal equation
linear equation
defective equation
An equation in which the variable appear under the radical symbol
Irradical equation
Irrational equation
Quadratic equation
Linear equation
An equation which, because of some mathematical process, has required an extra root is sometimes called as
redundant equation
literal equation
linear equation
defective equation
Any equation which, because of some mathematical process, has fewer roots than its original is somewhere called as
redundant equation
literal equation
linear equation
defective equation
An algebraic expression which can be represented as a quotient of two polynomials.
Irrational algebraic expression
Reduced algebraic expression
Rational algebraic expression
Complex algebraic expression
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
Problem
Open sentence
Worded problem
Any algebraic term is a/an _____ term in certain representing numbers if it consists of the product of possible integral powers of these numbers and a factor not containing them.
integral
rational
irrational
integral rational
An equation in x and y which is not easily solved for y in terms of x is
explicit
implicit function
discontinuity
quadratic
The numbers which are represented with letters.
Variables
Unknowns
Literal numbers
Terms
Equations whose members are equal only for certain or possibly no value of the unknown.
Conditional equations
Inequalities
Unconditional equations
Temporary equations
An algebraic expression consisting of one term.
Monomial
Binomial
Linear
Monomode
In algebra, this consists of products and quotients of ordinary numbers and letters which represent numbers.
Expression
Term
Equation
Coefficient
An expression of two terms is called
Polynomial
Duomial
Binomial
All of the above
The degree of a polynomial or equation is the
Maximum exponent
Maximum sum of exponents
Exponent of the first variable
Maximum exponent of x
What is the degree of the Polynomial 3x4y + 2x3z3 - 4yz2?
6th
5th
4th
3rd
Any fraction which contains one or more fractions in either numerator or denominator, or both is called
Compound fraction
Composite fraction
Complex fraction
All of the above
A common fraction with unity for numerator and a positive integer as denominator (i.e. 1/n)
Ordinary fraction
Unit fraction
Common fraction
Improper fraction
If the absolute value of the numerator of a fraction is smaller than the denominator, it is called
proper fraction
improper fraction
decimal fraction
mixed number
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.
Proper fraction
Improper fraction
Decimal fraction
Mixed number
