1. A certain rectangle is 5 times as long as it is wide. Suppose the length and width are both tripled. The perimeter of the second rectangle is how many times as large as the perimeter of the first rectangle?
2. If r and s are constants and x2 + rx + 12 is equivalent to (x + 3)(x + s), what is the value of r?
3. If c > 0, what are the roots of x2 + 7cx + 6c2 = 0?
4. Which of the following calculations will yield an even integer for any integer a?
5. What is the solution set of |3a - 3| ⥠12?
6. What is given that and that cos(α + β) = (cos α)(cos β) - (sin α)(sin β)?
(Note: You may use the following table of values.)
7. If y â z, what are the real values of x that make the following inequality true?
8. If two interior angles of a triangle measure 40° and 85°, respectively, which of the following describes the location of the shortest side of the triangle?
9. What is the equation of the circle in the standard (x, y) coordinate plane that has a radius of 4 units and the same center as the circle determined by x2 + y2 - 6y + 4 = 0?
10. A rectangular kitchen is 8 feet longer than it is wide. Its area is 240 square feet. How long, in feet, is it?