Math & Science ACT Workuot

(Marvins-Underground-K-12) #1
C.

D.

E.


  1. Let f(x) = x^3 and g(x) = −k. In the standard (x,y) coordinate plane, y = f(g(x)) passes through (−2,8). What is the value of k ?


F. 2

G. 1

H. −3

J. −8

K. −9


  1. A plane contains 7 vertical lines and 7 horizontal lines. These lines partition the plane into disjoint regions. How many of these disjoint
    regions have a finite, nonzero area?


A. 12
B. 14
C. 25
D. 36
E. 49


  1. Which of the following must be less than 0, if x, y, and z are real numbers and x^3 y^4 z^6 < 0 ?


F. xy
G. xy^2
H. yz
J. xyz
K. x^2 y^2 z^3
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