1. For i2 = -1, (3 - i)2 = ?
2. The volume of a sphere is determined by the equation ÏR3, where R is the radius of the sphere. In a given model of the solar system, all of the planets are perfect spheres. If the radius of Mars is exactly 4 times greater than the radius of Venus, how many times the volume of Venus is the volume of Mars?
3. Which of the following is equivalent to
4. If 2 is a solution of the equation x2 + kx + 12 = 0, what does k equal?
5. In the standard (x, y) coordinate plane, the center of the circle shown below lies on the y-axis at y = 3. If the circle is also tangent to the x-axis, then what is the equation of the circle?
6. Which of the following equations summarizes the data listed below?
7. The law of sines states that for any triangle, the ratio between the sine of an angle and the length of the side opposite that angle is the same for all of the interior angles in the triangle. In XYZ shown below, = 22 cm, z = 32°, and y = 44°. What is the length of ?
8. Which of the following is the graph of the equation 3x - 2y = 6?
9. For to be an integer, with m and n representing positive prime numbers, the sum of m + n must equal which of the following?
10. Cam is going into business selling umbrellas. He pays $25,000 for a building and machinery, and each umbrella costs $4.00 to manufacture. If Cam sells x umbrellas for $6.50 each, which of the following equations best represents his net profit in dollars?
11. In the circle shown below, O lies on the center of the circle and on chords and . The measure of = 100°. Which of the following statements is NOT true?
12. For all real numbers m and n, when is the equation |m - n| = |m + n| true?
13. What is the value of log4 16?
14. Television screen sizes are measured on the diagonal. Joshua bought a new television with a 24-inch screen and gave his old 21-inch television to his younger brother. If Joshua is watching a soccer ball that appears to be 4 inches in diameter on his new screen, how long does the diameter of the same ball, to the nearest tenth of an inch, appear to his brother watching on the smaller screen?
15. When 0° < x < 90°, which of the following is NOT equal to tan x?