Algebra Know-It-ALL

(Marvins-Underground-K-12) #1
(d) raise a to the power of mn
(e) raise a to the power of 1/(mn)


  1. When we add a+jb to its conjugate, we get


(a)a^2 +b^2
(b)a^2 −b^2
(c) 2a
(d) 2b
(e) 4ab


  1. Consider this general equation, where p,q,r, and s are all positive real numbers:


(px+q)(rx+s)= 0

What is the solution set X for this equation?
(a)X= {q/p,s/r}
(b)X= {−q/p,−s/r}
(c)X= {pq,rs}
(d)X= {−pq,−rs}
(e) We need more information to answer this


  1. We can tell right away that a fraction is in lowest terms if


(a) its numerator is “cleanly” divisible by its denominator.
(b) its denominator is “cleanly” divisible by its numerator.
(c) its numerator is a product of primes.
(d) its denominator is a product of primes.
(e) its numerator and denominator are both prime.


  1. Imagine that we’re working exclusively in the hexadecimal system. What numeral
    represents a quantity one less than 100?
    (a) 9F.
    (b) 7F.
    (c) AF.
    (d) FF.
    (e) There is no such numeral as 100 in the hexadecimal system, so this question is
    meaningless!

  2. The commutative law for addition can be applied to finite sums of


(a) natural numbers only.
(b) integers only.
(c) rational numbers only.
(d) irrational numbers only.
(e) real numbers.

Final Exam 557
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