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ELEMENTS_ALGEBRA

Total questions: 65

Worksheet time: 33mins

Name
Class
Date
1.

For a given 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

2.

Which number has four significant figures?

a)

0.0014

b)

0.01414

c)

0.141

d)

1.4140

3.

Naperian logarithm have a base closest to which number?

a)

2.17

b)

2.72

c)

3.14

d)

10

4.

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

a)

an exponential

b)

a sinusoid

c)

a tangent

d)

a parabola

5.

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

6.

Which is true regarding the signs of the natural functions for angles between 90° ang 180°?

a)

The tangent is positive

b)

The cotangent is positive

c)

The cosine is negative

d)

The sine is negative

7.

What is the inverse natural function of the cosecant?

a)

secant

b)

sine

c)

cosine

d)

cotangent

8.

The graphical presentation of a cumulative frequency distribution in a set of statistical data is called ______.

a)

Histogram

b)

Kurtosis

c)

Leptokurtic

d)

Ogive

9.

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

a)

Axiom

b)

Hypothesis

c)

Corollary

d)

Conclusion

10.

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

11.

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

12.

Convergent series 8is 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

13.

If a = b then b = a. This illustrates what axiom in algebra?

a)

Symmetrical Axiom

b)

Reflexive Axiom

c)

Transitive Axiom

d)

Replacement Axiom

14.

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?

a)

Pa - Pab

b)

Pb - Pab

c)

Pa x Pb

d)

Pab / Pa

15.

Two or more equations are equal if and only they have the same

a)

solution set

b)

degree

c)

order

d)

variable set

16.

If 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

17.

he ratio of two products 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

18.

Is a sequence of terms whose reciprocals form an arithmetic progression?

a)

Geometric progression

b)

Harmonic progression

c)

Algebraic progression

d)

Ratio and proportion

19.

An array of m x n quantities which represent a single number system composed of elements in rows and columns is knows as

a)

Transposed matrix

b)

Cofactor of a matrix

c)

Matrix

d)

Determinant

20.

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?

a)

Binary digits

b)

Binumber system

c)

Dyadic number system

d)

Bits

21.

.123123123123... is a/an

a)

irrational number

b)

surd

c)

rational number

d)

transcendential

22.

MCMXCIV is the Roman numeral equivalent to

a)

1974

b)

1984

c)

1994

d)

2994

23.

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

24.

Terms that differs only in numeric coefficients are known as

a)

unlike terms

b)

unequal terms

c)

like terms

d)

similar equations

25.

In complex algebra, we use diagram to represent complex plane commonly called

a)

Argand diagram

b)

Venn diagram

c)

Maxwell diagram

d)

Cartesian diagram

26.

7 + 0i is

a)

an irrational number

b)

real number

c)

imaginary number

d)

a variable

27.

The number of successful outcomes divided by the number of possible outcomes is

a)

odd

b)

combination

c)

permutation

d)

probability

28.

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)

x - y

c)

10y + x

d)

10x - y

29.

A statement of truth which is admitted without proof

a)

Axiom

b)

Theorem

c)

Postulate

d)

Corollary

30.

The part of theorem which is assumed to be true.

a)

Corollary

b)

Hypothesis

c)

Postulate

d)

Conclusion

31.

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

a)

Corollary

b)

Axiom

c)

Postulate

d)

Conclusion

32.

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

33.

A mathematical statement which has neither been proved nor denied by counterexample.

a)

Fallacy

b)

Conjecture

c)

Theorem

d)

Paradox

34.

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

a)

Lemma

b)

Hypothesis

c)

Postulate

d)

Corollary

35.

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

36.

A ______ is an ancillary theorem whose result is not target for the proof.

a)

postulate

b)

lemma

c)

hypothesis

d)

conclusion

37.

Statements 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

38.

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

a)

lemma

b)

hypothesis

c)

postulate

d)

theorem

39.

"The product of of two or more number is the same in whatever order they are multiplied." This refers to

a)

Associate law of addition

b)

Associate law of multiplication

c)

Commutative law of multiplication

d)

Distributive law or multiplication

40.

If a = b, then b can replace a in any question. This illustrates what law of identity?

a)

Reflexive law

b)

Law of symmetry

c)

Transitive law

d)

Substitution law

41.

If a = a, then it illustrates what law of identity?

a)

Reflexive law

b)

Law of symmetry

c)

Transitive law

d)

Substitutional law

42.

If a = b, and b = c, then a = c. This illustrate

a)

reflexive law

b)

law of symmetry

c)

transitive law

d)

substitution law

43.

The axiom which relates addition and multiplication is the _____ law.

a)
associative
b)
commutative
c)
identity
d)
distributive
44.

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

45.

The algebraic expression consisting a sum of any number of terms is called a

a)

multinomial

b)

summation

c)

binomial

d)

monomial

46.

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

47.

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

48.

An equation in which the variable appear under the radical symbol

a)

Irradical equation

b)

Irrational equation

c)

Quadratic equation

d)

Linear equation

49.

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

a)

redundant equation

b)

literal equation

c)

linear equation

d)

defective equation

50.

Any equation which, because of some mathematical process, has fewer roots than its original is somewhere called as

a)

redundant equation

b)

literal equation

c)

linear equation

d)

defective equation

51.

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

52.

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

53.

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.

a)

integral

b)

rational

c)

irrational

d)

integral rational

54.

An equation in x and y which is not easily solved for y in terms of x is

a)

explicit

b)

implicit function

c)

discontinuity

d)

quadratic

55.

The numbers which are represented with letters.

a)

Variables

b)

Unknowns

c)

Literal numbers

d)

Terms

56.

Equations 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

57.

An algebraic expression consisting of one term.

a)

Monomial

b)

Binomial

c)

Linear

d)

Monomode

58.

In algebra, this consists of products and quotients of ordinary numbers and letters which represent numbers.

a)

Expression

b)

Term

c)

Equation

d)

Coefficient

59.

An expression of two terms is called

a)

Polynomial

b)

Duomial

c)

Binomial

d)

All of the above

60.

The degree of a polynomial or equation is the

a)

Maximum exponent

b)

Maximum sum of exponents

c)

Exponent of the first variable

d)

Maximum exponent of x

61.

What is the degree of the Polynomial 3x4y + 2x3z3 - 4yz2?

a)

6th

b)

5th

c)

4th

d)

3rd

62.

Any fraction 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

63.

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

64.

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

65.

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