SAT数学备考经典模拟题训练17

>>SAT数学模拟题：SAT数学备考经典模拟题训练17

>>SAT考试辅导

3. If x and y are integers, and 3x + 2y = 13, which of the following could be the value of y ?

A. 0

B. 1

C. 2

D. 3

E. 4

3.Correct Answer: C

Explanation:

Substitute the given values for y and check whether you get an integer value for x.

For example, using 0 we get 3x = 13; x = 13/3 which is not a whole number.

The right answer is 2, since 3x + 2(2) = 13; 3x = 13 - 4 = 9; x = 9/3 = 3.

4.Correct Answer: A

Explanation:

The big triangle ABC is similar to the small triangle ADE because their bases are parallel. If corresponding side of two similar triangles are known the ratio of the areas is also known. In this case, let AD be one unit, then AB is 2 units (given that AB = AD + DB). The ratios of the sides is 1 : 2. The ratio of the areas will be (1)2 : (2)2 ; 1 : 4

Since the big triangle has area 40, using the ratio, the small has area 10.

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