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
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller Adam27. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $11.49. You're not tied to anything after your purchase.
