SAT Practice Test Answers and Explanations A
SAT Practice Test Answers and Explanations A
SAT Practice Test Answers and Explanations A
Choice (A) is not correct. The first pair of numbers does not satisfy
Explanation for Incorrect Answer C.
Choice (C) is not correct. The first pair of numbers does not satisfy
Choice (D) is not correct. The first pair of numbers does not satisfy
Choice (E) is not correct. The first pair of numbers satisfies but the second pair
of numbers does not:
Choice (C) is correct. The ratio of David’s car expenses to his food expenses is
equation is equivalent to
Choice (A) is not correct. This incorrect answer could be the result of substituting instead
of for
Choice (C) is not correct. This incorrect answer could be the result of substituting instead
of for
Choice (D) is not correct. This is the value of but the question asks for the value of
Choice (E) is not correct. If the value of were then would be equal to It would
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In each of these three cases, the area of the triangle is given by where is the height
of the triangle. The area of the triangle will be greatest when is greatest. In the case
where the angle joining the sides of length and has measure the value of is and
the area of the triangle is In the cases where the angle joining the sides of length and
has measure greater than or less than the value of is less than so the area of
the triangle is less than All triangles with one side of length and another of length
fall into one of these three categories, so the greatest possible area of such a triangle is
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received of the votes and Pérez received of the votes. There were a total of
votes cast for Garcia and Pérez. Thus, Pérez received of these votes. Therefore,
Choice (A) is not correct. The ratio to divides the votes cast into parts, and
of is However, the question asks for the number of votes cast for Pérez,
received or votes.
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equal to not
equal to not
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Choice (D) is correct. If is a number greater than then The amount by which is
Choice (A) is not correct. The only number greater than for which is In
general, if is a number greater than the difference between and need not be equal to
Choice (B) is not correct. The only number greater than for which is In
general, if is a number greater than the difference between and need not be equal to
Explanation for Incorrect Answer C.
Choice (C) is not correct. If is a number greater than for which then and
In general, if is a number greater than and then the difference between and
will not be
Choice (E) is not correct. If is a number greater than for which then
and However, is greater than Therefore, there is no number greater
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It would follow that and but the question states that and are integers.
It would follow that and but the question states that and are
integers.
It would follow that and but the question states that and are
integers and that
then it would follow that and but the question states that and
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fire truck can go blocks left and blocks up. This is a total of blocks. The fire truck
can also go block left, block up, block left, and block up; this is also a total of
blocks. The fire truck can also go block up, blocks left, and block up, which is likewise a
total of blocks. Any other route from the firehouse to the building at requires the fire
truck to travel more than blocks. Therefore, the minimum number of blocks the fire
truck must travel from the firehouse to reach the building at is which means the -
Choice (E) is not correct. It is possible for a fire truck to travel blocks from the
firehouse to reach the building at but this is not the minimum number of blocks the fire
truck must travel to accomplish this.
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Another way of counting the number of different -block routes from to is to see that
the blocks to the left can be chosen to be any of the blocks in a route from to
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It follows that
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