The following are worked solutions for the questions in the math sections of the SAT Practice Tests found in the Official SAT Study Guide.

It would be best that you go through the SAT practice test questions in the Study Guide first and then look at the worked solutions for the questions that you might need assistance in. Due to copyright issues, we are not able to reproduce the questions, but we hope that the worked solutions will be helpful.

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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