Algebra Know-It-ALL

(Marvins-Underground-K-12) #1
(c) It is being repeatedly divided by 2.
(d) It is being repeatedly divided by −2.
(e) It is being repeatedly squared.


  1. In Fig. FE-2, the value of a is


(a) impossible to determine without more information.
(b)− 6 n.
(c)− 8 n.
(d)− 10 n.
(e)− 12 n.


  1. Imagine that we come across a cubic function and a linear function, where all the
    coefficients and constants are real numbers. We want to solve these functions as a two-
    by-two system. What is the maximum number of real solutions that such a system can
    have?
    (a) One.
    (b) Two.
    (c) Three.
    (d) Infinitely many.
    (e) We can’t answer this without more information.

  2. Which of the following statements is false?


(a) All integers are rational.
(b) All real numbers are irrational.
(c) All negative rational numbers are real.
(d) All natural numbers are integers.
(e) All integers are real.


  1. When we take a quantity to the power of −1/5, it’s the same thing as


(a) taking the 5th root of the quantity and then taking the reciprocal of the result.
(b) taking the 5th power of the quantity and then taking the reciprocal of the result.
(c) taking the −5th root of the quantity and then taking the reciprocal of the result.
(d) taking the −5th power of the quantity and then taking the reciprocal of the result.
(e) None of the above.


  1. Consider the following third-degree equation:


(x− 1)(x+ 7)^2 = 0

How many real roots does this equation have?
(a) None.
(b) One.
(c) Two.

Final Exam 551
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