1. In ABC below, what is tan a?
2. Jenna wants to serve a large pot of soup to 25 people by 1:15 P.M. If it takes her 7 minutes to assemble the ingredients, 20 minutes to cut up the vegetables, and hours to cook the soup on the stove, what is the latest time that Jenna could begin her meal preparation?
3. Hiram's garden contains 45 tomato plants, 15 watermelon plants, and 120 lettuce plants. Approximately what percent of the garden is occupied by watermelon plants?
4. What is the additive inverse of the polynomial 5x3 - 4x2 + 6x - 9?
5. In the standard (x, y) coordinate plane, if has endpoint a at (-2, 4) and midpoint m at (3, 9), where is endpoint b located?
6. Which of the following, if any, is equivalent to the inequality |x| - 4 < -7?
7. What is the sum of the interior angles of pentagon LMNPR?
8. Which of the following values of n makes the statement n? = 4 true?
9. If a and b can be any two real numbers such that b < -6 and 3a - b = 21, which of the following is a solution set for a?
10. Darcy used a 12-m piece of rope to tie her dog to a tree while she mowed her front yard. The dog could only walk in a semicircle because the tree was located directly next to the house (see diagram below). Assuming 3.14 for Ï, how much area, in square meters, could the dog cover?
11. For 3x â 2y, the polynomial expression is equivalent to which of the following?
12. Jose recently opened a new business. He projects that his profit will be $25,000 for the first year, and will increase by 7% over the next 8 years. Which of the following best describes the sequence formed by his annual profits?
13. The trapezoid shown below in the standard (x, y) coordinate plane has vertices as marked. What is the area of the trapezoid in square units?
14. What is the greatest common factor of the terms 12x4y2 and 6xy3?
15. In the figure below, m is the midpoint of and LMP is equilateral. If = 8, what is the length of ?