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Which of the following is equal tofor all integers x and y?
Which of the following is equal tofor all integers x and y?
admin
2017-10-16
20
问题
Which of the following is equal to
for all integers x and y?
选项
A、4
-x
B、4
-y
C、2
xy
D、4
x
E、4
y
答案
B
解析
Simplifying the fraction
. The only answer choice with 2 as the base is Choice C, 2
xy
, which is clearly not the correct answer. Since all the other answer choices have 4 as the base, it is a good idea to rewrite 2
-2y
as an expression with 4 as the base, as follows.
Thus the correct answer is Choice B.
This explanation uses the following strategies.
Strategy 5: Simplify an Arithmetic or Algebraic Representation
Strategy 8: Search for a Mathematical Relationship
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