Problem 1 :
f(x) = |59 – 2x|
The function f is defined by the given equation. For which of the following values of k does f(k) = 3k?
Solution :
Problem 2 :
Which of the
following is true about the values of 2x
and 2x + 2 for x > 0?
A) For all x > 0, it is true that 2x
< 2x + 2.
B) For all x > 0, it is true that 2x
> 2x + 2.
C)Â There is a
constant c such that if 0 < x <
c, then 2x < 2x + 2, but if x > c, then 2x > 2x + 2.
D) There is a constant c such that if 0 < x < c, then 2x > 2x + 2, but if x > c, then 2x < 2x + 2.
Solution :
Problem 3 :
In the figure above, the
measures of all five line segments are equal. What is the ratio of the length
of LK to the length of JM (not shown)?
Solution :
Problem 4 :
2x2 + 2y2 + cx + cy – 504 = 0
The given equation is
a circle with radius 18 units. If c
is a positive constant, what is the value of c?
Solution :
Problem 5 :
At a kitchen equipment store, the price of a pot is
$14 and the price of a pan is $10. If Amy spends more than $100 but less than
$150 to buy 3 pots and x pans, which
of the following is NOT a possible value of x?
A)Â 6
B)Â 8
C)Â 10
D)Â 12
Solution :
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