SAT数学备考经典模拟题训练45

>>SAT数学模拟题：SAT数学备考经典模拟题训练45

>>SAT考试辅导

数学练习题内容

9. If x is an integer, which of the following could be x³?

I 1.25 x 1017

II 12.5 x 10-12

III 0.125 x 10-12

A. I only

B. II only

C. I and II only

D. I and III only

E. II and III only

10. At what point does the graph of 5x + 4y = 12 intersect the y-axis?

A. (0, 3)

B. (0, -3)

C. (3, 0)

D. (5, 0)

E. (0, -5)

练习题解析

9.Correct Answer: A

Explanation:

We can shift the decimal points so that we get 125 and a power of ten. 125 is a cube. If the power to which ten is raised is divisible by 3, then that is also a cube.

For statement I we get 125 x 1015 (We have multiplied the 1.25 by 100 and so we must divide 1017 by 100 which means we subtract 2 from the power). For statement II we get 125 x 10-13, and for III we get 125 x 10-15. But in the case of III the answer is a negative power making it a fraction NOT an integer.Only in the case of I is the power divisible by three.

10.Correct Answer: A

Explanation:

Rearrange the equation to fit the form y = mx + c, where c is the intercept on the y-axis. At this point x = 0.

4y = 12 – 5x; y = -5/4 x + 12/4; 12/4 = c = 3

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