PSAT Math Multiple-Choice Practice Test 56

1. What is the value of x in the following equation?

A.

B.

C.

D.

2. If , what is the value of (3 - i )(4 + i )?

3. What is the value of the constant c in the equation below?

(x - 6)(x - 10) = (x - 8)² + c

4. Which trigonometric expression would give the value of angle X?

A.

B.

C.

D.

5. The ideal gas equation is PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature. According to the equation, the volume of a gas is inversely related to

6. In physics, the mirror equation is , where f represents the mirror's focal length, d_o is the distance of an object from the mirror, and d_i is the distance of the image from the mirror. Which expression gives d_o in terms of focal length and image distance?

A.

B.

C.

D.

7. If the following equation is true for every value of x and if a is a constant, what is the value of a?

(x + 4)(x² + ax + 2) = x³ + x² - 10x + 8

8.

A.

B.

C.

D.

9. If the slope of line A is , where x and y are positive numbers, what is the slope of a line that is perpendicular to A ?

A.

B.

C.

D.

10. The formula for the surface area of a sphere is A = 4πr². If the volume of sphere A is 8 times the volume of sphere B , what is the ratio of the surface area of sphere A to that of sphere B ?