下面为大家整理的是8道
1.A machine can insert letters in envelopes at the rate of per minute. Another machine can stamp the envelopes at the rate of per second. How many such stamping machines are needed to keep up with inserting machines of this kind?
Answer Choices
(A)
(B)
(C)
(D)
(E)
1.The correct answer is A
Explanation
First you can change minute to seconds so that the ratios are both in envelopes per second. One inserting machine inserts letters at the rate of per seconds, or per second. So machines would insert letters per second.
Let be the number of stamping machines needed to keep up with inserting machines. Then, since one machine stamps envelopes per second, machines stamp envelopes per second. You can write the equation , which gives .
2.If 22 times 3 times Q = 6, then Q =
(A) 1 over 11
(B) 1 over 10
(C) 10
(D) 11
(E) 20
2.The correct answer is A
Explanation
The question states that 22 times 3 times Q = 6. Solving for Q gives Q = 6 over (22 times 3) = 1 over 11 when the fraction is reduced.
3.In the figure, the slope of the line through points . What is the value of ?
Answer Choices
(A)
(B)
(C)
(D)
(E)
3.The correct answer is B
Explanation
The slope of a line in a coordinate plane is given by the fraction whose numerator is the change in between any two points on the line and whose denominator is the change in between the same points on the line.
The question asks for the value of , which is the -coordinate of point .
The change in between points and is . The change in between these points is . Since the slope is , it follows that . Solving this equation gives . Therefore, , and .
4.In the , line is perpendicular to the graph of the function . Line could be the graph of which of the following functions?
Answer Choices
(A)
(B)
(C)
(D)
(E)
4.The correct answer is B
Explanation
If two lines are perpendicular, the product of their slopes is equal to . The function is in slope-intercept form, so the slope of the graph of is equal to . Therefore, the slope of line must be equal to . The only choice that corresponds to a slope of is .
5.If , then
Answer Choices
(A)
(B)
(C)
(D)
(E)
5.The correct answer is C
Explanation
You are given that . Dividing both sides of the equation by gives. Thus, the answer is .
6.Ten cars containing a total of people passed through a checkpoint. If none of these cars contained more than people, what is the greatest possible number of these cars that could have contained exactly people?
Answer Choices
(A) One
(B) Two
(C) Three
(D) Four
(E) Five
6.The correct answer is D
Explanation
It could not be true that each of the ten cars contained exactly people, as this would give a total of only . If nine of the cars contained exactly people, the remaining car could have no more than people, for a total of only . Continuing in the same way, a pattern develops. If eight of the cars contained exactly people, the remaining two cars could have no more than people each, for a total of only . If seven of the cars contained exactly people, the total number of people could be only . From the pattern, you can see that if four of the cars contained exactly people, and the remaining six cars contained the maximum of people, the total number would be , as given in the question. Therefore, at most four of the ten cars could have contained exactlypeople.
7.If is an odd integer, which of the following is an even integer?
Answer Choices
(A)
(B)
(C)
(D)
(E)
7.The correct answer is E
Explanation
If is an odd integer, then and are odd integers. Similarly, choices and are odd integers. Since an odd integer subtracted from another odd integer is always an even integer, is even.#p#分页标题#e#
8.Ifis the set of positive integers that are multiples of, and ifis the set of positive integers that are multiples of, how many integers are in the intersection ofand?
Answer Choices
(A) None
(B) One
(C) Seven
(D) Thirteen
(E) More than thirteen
8.The correct answer is E
Explanation
The intersection of sets and is the set of integers that are in and also in . Set consists of all positive integers that are multiples of , and set consists of all positive integers that are multiples of , so the intersection of and is the set of positive integers that are multiples of both and . This is the set of all positive integers that are multiples of . There are an infinite number of positive integers that are multiples of , so there are more than thirteen integers in the intersection of and .
以上就是这8道SAT数学练习题及答案的详细内容，包括了一些常见的知识点。大家可以在备考的时候，对此加以适当的练习和应用，测试自己在数学方面知识点的掌握情况。