MECHANICAL ENGINEERING PRE-BOARD EXAM
ALGEBRA PRACTICE QUIZ / EXAM
PART 1
1. For a given function 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 figure?
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. 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
6. 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
7. The graphical representation of a cumulative frequency distributionis a set of statistical data is called_______.
A. histogram
B. kurtosis
C. lepticurtic
D. Ogive
8. A statement of truth of which follows with little or no proof from a theorem.
A. Axiom
B. Hypothesis
C. Corollary
D. Conclusion
9. 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
, 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. 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. Convergence sequence is a sequence of decreasing number or when 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. Symetric axiom
B. Reflexive axiom
C. Transitive axiom
D. Replacement axiom
14. 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
15. Two or more equations are equal if and only if they have the same
A. solution set
B. degree
C. order
D. variable set
16. 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
17. The ratio of 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
18. 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
19. The ratio of 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
ALGEBRA PRACTICE QUIZ / EXAM
PART 1
1. For a given function 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 figure?
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. 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
6. 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
7. The graphical representation of a cumulative frequency distributionis a set of statistical data is called_______.
A. histogram
B. kurtosis
C. lepticurtic
D. Ogive
8. A statement of truth of which follows with little or no proof from a theorem.
A. Axiom
B. Hypothesis
C. Corollary
D. Conclusion
9. 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
, 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. 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. Convergence sequence is a sequence of decreasing number or when 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. Symetric axiom
B. Reflexive axiom
C. Transitive axiom
D. Replacement axiom
14. 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
15. Two or more equations are equal if and only if they have the same
A. solution set
B. degree
C. order
D. variable set
16. 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
17. The ratio of 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
18. 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
19. The ratio of 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
