SAT数学备考经典模拟题训练14

>>SAT数学模拟题：SAT数学备考经典模拟题训练14

>>SAT考试辅导

7. For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 200?

A. 48

B. 49

C. 50

D. 51

E. 52

7.Correct Answer: C

Explanation:

1 < 4n + 7 < 200

n can be 0, or -1

n cannot be -2 or any other negative integer or the expression 4n + 7 will be less than1.

The largest value for n will be an integer < (200 - 7) /4

193/4 = 48.25, hence 48

The number of integers between -1 and 48 inclusive is 50

8.Correct Answer: B

Explanation:

First you must realize that the sum of two 2-digit numbers cannot be more that 198 (99 + 99). Therefore in the given problem D must be 1.

Now use trial and error to satisfy the sum 5A + BC = 143

A + C must give 3 in the units place, but neither can be 1 since all the digits have to be different. Therefore A + C = 13.

With one to carry over into the tens column, 1 + 5 + B = 14, and B = 8.

A + C + B + D = 13 + 8 + 1 = 22

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