1. Which of the following is equal to ?
2. One traffic light flashes every 6 seconds. Another traffic light flashes every 9 seconds. If they flash together and you begin counting seconds, how many seconds after they flash together will they next flash together?
3. If , then x = ?
4. In the figure below, what is the sum of p and q?
5. How many ordered pairs (x, y) of real numbers will satisfy the equation 5x - 7y = 13?
6. How many different positive 3-digit integers can be formed if the three digits 3, 4, and 5 must be used in each of the integers?
7. Each of the 3 lines crosses the other 2 lines as shown below. Which of the following relationships, involving angle measures (in degrees) must be true?
I. mâ 2 + mâ 7 + mâ 12 = 180°
II. mâ 4 + mâ 5 + mâ 10 = 180°
III. mâ 3 + mâ 8 + mâ 11 = 180°
8. If x2 - y2 = 49 and x - y = 7, then x =?
9. For is equivalent to:
10. The polygon below was once a rectangle with sides 10 and 14 before a triangle was cut off. What is the perimeter, in inches, of this polygon?
11. A circle in the standard (x, y) coordinate plane has center (-4,5) and radius 5 units. Which of the following equations represents this circle?
12. For the triangle shown below, what is the value of tan x?
13. You have enough material to build a fence 120-feet long. If you use it all to enclose a square region, how many square feet will you enclose?
14. For what nonzero whole number k does the quadratic equation y2 + 2ky + 4k = 0 have exactly one real solution for y?
15. In ΠABC below, points B, D, and C are collinear. Segment AB is perpendicular to segment BC, and segment AD bisects angle BAC. If the measure of angle DCA is 60°, what is the measure of angle ADB?