1. What is the solution set for the inequality 6 - 4(x - 2) > 4x + 5?
2. For the circle whose standard equation is (x - 1)2 + (y + 2)2 = 8, the center and radius are:
3. Parallelogram RSTU is shown below, with = 4 inches, = 7 inches, and = 5 inches. What is the area of RSTU in square inches?
4. If the lengths of the sides of the triangle below are shown in inches, how many inches long is side ?
5. Which of the following is the equation for a circle with diameter , given that a = (4, 2) and b = (8, -4)?
6. Which of the following comprises all of the values of x for which ?
7. A guide wire for a telephone tower makes an angle of 50° with the level ground and is 14 meters from the base of the tower. How many meters long is the guide wire?
8. For all is equivalent to:
9. In the standard (x, y) coordinate plane, the midpoint of is (5, 7) and a is located at (2, 3). If the coordinates of b are (x, y), what is the value of (x + y)?
10. If the solutions to the equation (x + a)(x + b) = 0 are x = 8 and x = -, then a + b = ?
11. In the figure below, all line segments intersect at right angles, and all measurements are given in inches. What is the perimeter of the figure in inches?
12. If cot θ = P, which of the following expressions must also equal P?
13. A line in the standard (x, y) coordinate plane contains the points (5, 9) and (8, 3). What is the x-intercept of this line?
14. Each side of a given cube is a square with an area of 729 square inches. What is the volume of the cube in cubic inches?
15. If p and q are positive integers, and 6pq4 and 12p2q2 have a greatest common factor of 1,050, then which of the following is a possible value for the sum of p and q?