SAT Practice Test 7, Section 5: Questions 6  10
The following are worked solutions for the questions in the math sections of the SAT Practice Tests found in the Official SAT Study Guide.
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6. Correct answer: (C)
Given:
n is a positive integer
To find:
The value of n
Solution:
Topic(s): Exponents
n + 1 would be an even number because it is a power of 2
We can eliminate
(B) 2 (because 2 + 1 = 3 which is odd)
(D) 4 (because 4 + 1 = 5 which is odd)
We test out
(A) 1 (2^{0} ≠ 1 + 1)
(C) 3 (2^{2} = 3 + 1)
(E) 5 (2^{4} ≠ 5 + 1)
Answer: (C) 3
7. Correct answer: (E)
Given:
The average of 14 books is p pounds
To find:
The total weight of books, in terms of p
Solution:
Topic(s): Exponents
Total weight = p × 14 = 14p
Answer: (E) 14p
8. Correct answer: (C)
Given:
The figure
Point B is the midpoint of
To find:
The value of t
Solution:
The midpoint is the average of the two points:
Answer: (C) 2
9. Correct answer: (B)
Given:
k(2x + 3)(x  1) = 0
x > 1
To find:
The value of k
Solution:
If x > 1, then 2x + 3 ≠ 0 and x – 1 ≠ 0
Therefore, k = 0
Answer: (B) 0
10. Correct answer: (A)
Given:
All men in the Williams family are over six feet tall
To find:
The true statement
Solution:
There is no calculation here, only some logical thinking.
“All men in the Williams family are over six feet tall” would imply that
“No man under six feet tall is a member of the Williams family”
Answer: (A) No man under six feet tall is a member of the Williams family
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