PSAT Math Multiple-Choice Practice Test 51: Passport to Advanced Math Drill

1. A cubic function would be most appropriate when modeling which of the following mathematical relationships?

2. equals which of the following, given that a ≠ ±b ?

3. If -5m⁵ + 3m³ = 2m⁷, what is the sum of all ­possible values of m²?

4. Solve for

A.

B.

C.

D.

5. What is/are the solution(s) to the following equation?

A.

B.

C.

6. How many distinct zeros does the function f (x) = (x - 3)(x + 7)(x - 3) have?

7. Consider the function f(x) = x² + 2.
What operation could be performed on the right-hand side of the equation to expand the range to include negative values?

8. What is the vertex of the parabola (y - 4)² = 17(x + 2)?

9. The root mean squared speed of a molecule, v_rms, is calculated using the formula , where R is a gas constant, T is the temperature, and M is the molecular mass. The molecular mass of substance A is most likely to be less than the molecular mass of substance B if the temperature and v_rms of substance A compare in which ways to those of substance B ?

10. Two different stock portfolios, A and B, have had no new deposits or withdrawals over a ten-year period and had the same initial amount in the account. If stock portfolio A has grown at an annual rate of x%, if stock portfolio B has grown at an annual rate of y%, and if x > y, what would represent the ratio of the value of portfolio A over that of portfolio B at the end of the ten-year period?

A.

B.

C.

D.