For problems 1–4, perform the indicated operations and simplify.
Reduce the expressions in questions 5–7.
Find the solution set.
For problems 9–12, find the solution set by any convenient method.
- The width of a rectangle is 6 m less than its length, and its area is 12 units more than its perimeter. What are the dimensions of the rectangle?
- Find three consecutive odd integers such that the product of the first and the third is 31 more than the second.
- It took a tugboat 5 hours to travel against an ocean current to get to an isolated outpost 60 km from its home port and 3 hours to return back to port going with the ocean current. What is the speed of the ocean current and what speed can the tug travel on still water?