Sat Math Medium Practice Quiz With Answer Key Page 13
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16SAT Math Medium Practice Quiz Answers
12. E
(Estimated Difficulty Level: 3)
14. C
(Estimated Difficulty Level: 3)
Since xy is less than 82, to get the greatest possible
Make an equation from the words. If x is the number,
integer value of x, we need the least possible value of
then the reciprocal is 1/x, so the equation is
y. The least positive multiple of 3 is 3, so y = 3. The
greatest integer value of x such that 3x < 82 is x = 27,
1/3
= x
8.
so answer C is correct.
1/x
This is the same as
x
= x
8.
15. E
(Estimated Difficulty Level: 3)
3
Solving this equation gives x = 12.
Consecutive odd integers always differ by 2. For exam-
ple, 3 and 5 are consecutive, odd integers and 5 3 = 2.
Since x
y and 2x
y are consecutive odd integers, we
know that (2x
y)
(x
y) = 2. Simplifying, you will
get 2x
y
x + y = 2 so that x = 2, making answer E
correct.
13. C
(Estimated Difficulty Level: 3)
2
2
2
2
Since (x + 1)
= x
+ 2x + 1 and (x
1)
= x
2x + 1,
2
2
the equation becomes (x
+ 2x + 1)
(x
2x + 1) = 32
16. 3
(Estimated Difficulty Level: 3)
so that 4x = 32 or x = 8.
Since f (c) = 2c + 1 and g(c) = 3c
2, f (c) = g(c) is
Or, work with the answers by plugging them in for x
the same as 2c + 1 = 3c
2, which means that c = 3.
until the equation works.
pg. 13
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