1. If nx · n8 = n24 and (n6)y = n18, what is the value of x + y?
2. The graph below shows the distance, m miles, you are h hours from home following the start of a run. Which of the following statements accurately describes your run? (Note: Home is located at (0, 0) on the graph.)
3. If the volume of a cube is 64, what is the shortest distance from the center of the cube to the base of the cube?
4. For the right triangle ΔABC shown below, what is sin C?
5. What is the area, in coordinate units, of the triangle in the figure below?
6. A shoe store charges $39 for a certain type of sneaker. This price is 30% more than the amount it costs the shoe store to buy one pair of these sneakers. At an end-of-the-year sale, sales associates can purchase any remaining sneakers at 20% off the shoe store's cost. How much would it cost an employee to purchase a pair of sneakers of this type during the sale (excluding sales tax)?
7. After excavating a lot, workers removed an estimated 7,000 cubic yards of dirt from the area. If this dirt were spread in an even layer over an empty lot with dimensions 30 yards by 64 yards, about how deep, in yards, would the layer of dirt be?
8. If |x + 8| = 18, what are the possible values for x?
9. When the choir is arranged in rows of 5 people each, the last row is one person short. When the choir is arranged in rows of 6 people each, the last row is still one person short. What is the least possible number of people in the choir?
10. What is the y-coordinate of the point in the standard (x,y) coordinate plane at which the 2 lines and y = 3x - 2 intersect?