1. Let x = 3y -4z + 7. What happens to the value of x if the value of y decreases by 2 and the value of z is increased by 1?
2. Which of the following represents the values of x that are solutions for the inequality (x - 1)(4 - x) < 0?
3. In the figure below, triangle PQR is an isosceles right triangle. What is the ratio of the hypotenuse to the length of PQ?
4. If and 0° ⤠x° ⤠90°, then cos x = ?
5. For all a â 0 and b â 0,
6. In the figure below, PQRS is a rectangle with sides of lengths shown. X is the midpoint of . What is the perimeter of triangle PXQ?
7. A line in the standard (x, y) coordinate plane has a slope of and passes through points (3,4) and (t,-2). What is the value of t?
8. Sean is building a scale model of a sailboat, complete with a main sail. The actual sailboat's main sail measures 56 feet high with a base of 32 feet. If the model sailboat's main sail has a base of 8 inches, how tall will the model's main sail be, in inches?
9. What values of x make the inequality -5x - 7 > 3x + 1 true?
10. In the figure below, the lengths of the sides of right triangle BAC are as shown. bisects side . What is the length of DC?
11. Which of the following intervals contains the solution to the equation
12. In the figure below, P and Q lie on the circle R, which has a radius of 9. If the angle PRQ is 120°, what is the area of sector PRQ?
13. Given the graph below in the standard (x, y) coordinate plane, the slope of line a is ma and the slope of line b is mb. Which of the following statements about the slope of lines a and b is true?
14. If and , what is sin x?
15. A total of f men went on a fishing trip. Each of the r boats that were used to carry the fishermen could accommodate a maximum number of m passengers. If one boat had 5 open spots and the remaining boats were filled to capacity, which of the following expresses the relationship among f, r, and m?