PSAT/NMSQT PSAT/NMSQT Advanced Math

Question 1

Which of the following is equivalent to (x² − 9)(x + 3)?

Accepted Answer

x³ + 3x² − 9x − 27

Answer

x³ − 3x² − 9x + 27

Answer

x³ + 3x² + 9x − 27

Answer

x³ − 27

Question 2

If f(x) = 2x² − 5x + 1, what is f(−2)?

Accepted Answer

19

Answer

−1

Answer

11

Answer

−11

Question 3

What are the solutions to x² − 5x + 6 = 0?

Accepted Answer

x = 2 and x = 3

Answer

x = −2 and x = −3

Answer

x = 1 and x = 6

Answer

x = −1 and x = −6

Question 4

If g(x) = x³ − 4x, for which value of x does g(x) = 0?

Accepted Answer

x = −2, 0, 2

Answer

x = −4, 0, 4

Answer

x = 0, 2

Answer

x = −2, 2

Question 5

Which expression is equivalent to (3x²y)³?

Accepted Answer

27x⁶y³

Answer

9x⁶y³

Answer

27x⁵y³

Answer

9x⁵y

Question 6

If the function h(x) = ax² + bx + c has its vertex at (2, −3) and passes through (0, 5), what is the value of c?

Accepted Answer

5

Answer

−3

Answer

2

Answer

−5