无忧雅思网_雅思预测_雅思机经_雅思考试_雅思资料下载_雅思名师_2018年雅思考试时间

5道SAT数学练习题及答案

  下面为大家整理的是5道SAT数学练习题的内容,后面附有详细的答案解析。SAT数学题拥有自己的逻辑关系和解题方法,这些都是大家在备考的时候,需要格外注意的部分。下面我们一起来看看这些数学题的详细内容吧。

  直接获取无忧名师的服务点击进入 >>>>有问题?找免费的无忧专家咨询! 联系QQ客服: ,也可以通过在线咨询处留言,把您最关心的问题告诉我们。

math image

   1.The graph of y = function f of xis shown above. If 0 less than or equal to t less than or equal t 5, and if (t comma v)is on the graph of function f, which of the following must be true? 

  Answer Choices

  (A)negative 10 less than or equal to v less than or equal to negative 5 

  (B) negative 5 less than or equal to v less than or equal to 0 

  (C) 0 less than or equal to v less than or equal to 5 

  (D) 5 less than or equal to v less than or equal to 10 

  (E) 10 less than or equal to v less than or equal to 15

  2.If (t minus 2)^2 = 0, what is the value of (t+3) times (t+6)?

  Answer Choices

  (A) 40

  (B) 18

  (C) 9

  (D) 4 

  (E) It cannot be determined from the information given.

  3.If x^(1 over 3) = y^2, which of the following must be equivalent to x

  Answer Choices

  (A) y^(1 over 6) 

  (B) y^(2 over 3) 

  (C) y^(3 over 2) 

  (D) y^3 

  (E) y^6 

  4.If (x + y)^2 =x^2 + y^2, which of the following statements must also be true? 

  Roman numeral 1. x = 0 

  Roman numeral 2.(x minus y)^2 = x^2 + y^2 

  Roman numeral 3. x times y = 0 

  Answer Choices

  (A) None

  (B) Roman numeral 1only 

  (C) Roman numeral 2only 

  (D) Roman numeral 3only 

  (E) Roman numeral 2and Roman numeral 3

  5.If the function function fis defined by function f of x = (x minus a) times (x minus b) over (x minus c), where 0 less than a less than b less than c, for which of the following values of xis function fundefined? 

  roman numeral 1a  roman numeral 2b  roman numeral 3c 

  Answer Choices

  (A) None

  (B) roman numeral 1only 

  (C) roman numeral 3only 

  (D) roman numeral 1and roman numeral 2only 

  (E) roman numeral 1, roman numeral 2, and roman numeral 3 

  Explanation

   1.The correct answer is D

  The second coordinate of a point on the graph corresponds to v. From the graph, you can see that for 0 less than or equal to t less than or equal to 5, the smallest value of vis 5and the greatest value is 10, so 5 less than or equal to v less than or equal to 10.

  2.The correct answer is A

  Since (t minus 2) ^ 2 = (t minus 2) times (t minus 2) = 0, it follows that t minus 2 = 0, and so t = 2. Therefore, (t + 3) times (t+6) = (2+3) times (2+6) = (5) times (8) = 40.

  3.The correct answer is E

  If x^(1 over 3) = y^2, then (x^(1 over 3))^3 = (y^2)^3, so x = (x^(1 over 3))^3 = (y^2)^3 = y^6.

   4.The correct answer is E

  The quantity (x + y)^2can be expressed as x^2 + 2 times x times y + y^2. If (x + y)^2 = x^2 + y^2, then 2 times x times y = 0and x times y = 0. Since x times y = 0, either x = 0or y = 0or both. Therefore, statement Roman numeral 3must be true, but statement Roman numeral 1, x = 0, is not always true. For statement Roman numeral 2, you can write (x minus y)^2 = x^2 minus 2 times x times y + y^2, and since x times y = 0, it follows that (x minus y)^2 = x^2 + y^2. Therefore, both statements Roman numeral 2and Roman numeral 3must be true.

  5.The correct answer is C

  If x = a, then (x minus a) times (x minus b) over (x minus c) = (a minus a) times (a minus b) over (a minus c) = 0 over (a minus c) = 0. If x = b, then (x minus a) times (x minus b) over (x minus c) = (b minus a) times (b minus b) over (b minus c) = 0 over (b minus c) = 0. If x = c, then (x minus a) times (x minus b) over (x minus c) = (c minus a) times (c minus b) over (c minus c) = (c minus a) times (c minus b) over 0, which is not defined because division by 0is undefined. Therefore, of the three values, a, b, and c, the only one for which function fis undefined is c. Thus the correct response is roman numeral 3

only. 

  以上就是这5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。

无忧倾情回馈客户,零利润SAT香港考团,详细信息

更多SAT数学相关:

北京SAT数学培训

九道SAT数学练习题及答案

SAT数学考试备考注意事项三个

SAT数学高分备考需摆正心态