SAT Section 2: Mathematics Certification Exam Questions with AI Explanations

QUESTION: 26

The function m # n is equal to m2 n. Which of the following is equivalent to m#(n # m)?

Option A
Option B
Option C
Option D
Option E

Answer(s): C

Explanation:

M#n is a function definition. The problem is saying "m#n" is the same as "m2 n". If m#n isn2 n, then n#misn2 m. So, to find m#(n#m), replace (n#m) with the value of (n#m), which isn2 m:m#(n2 m).
Now, use the function definition again. The function definition says "take the value before the # symbol, square it, and subtract the value after the # symbol": m squared ism2minus the second term, (n2 m), is equal tom2-(n2 m) = m2 n2+ m.

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QUESTION: 27

Which of the following has the greatest value when x = - 1/4?

Option A
Option B
Option C
Option D
Option E

Answer(s): E

Explanation:

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QUESTION: 28

Option A
Option B
Option C
Option D
Option E

Answer(s): E

Explanation:

Anglese and fare vertical angles, so angle e anglef. However, angle d and anglejare not alternating angles. These angles are formed by different transversals. It cannot be stated that angled anglej, therefore, it cannot be stated that d + e = f + j.

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QUESTION: 29

Melissa runs the 50-yard dash five times, with times of 5.4 seconds, 5.6 seconds, 5.4 seconds, 6.3 seconds, and 5.3 seconds. If she runs a sixth dash, which of the following would change the mean and mode of her scores, but not the median?

5.3 seconds
5.4 seconds
5.5 seconds
5.6 seconds
6.3 seconds

Answer(s): A

Explanation:

Melissa's mean time for the first five dashes is

Her times, in order from least to greatest, are: 5.3, 5.4, 5.4, 5.6, and 6.3. The middle score, or median, is 5.4. The number that appears most often, the mode, is 5.4. A score of 5.3 means that the mean will decrease and that the mode will no longer be 5.4 alone. The mode will now be 5.3 and 5.4. The median, however, will remain 5.4.