Chapter 7:  Systems of Equations and Inequalities

 

1.      Solve the system.

      y = x - 4

 y = 2x + 5

 

2.      Solve the system.

x 2 + y 2  = 25

2x + y = 1

y + z = 1

 

3.      Is it possible to construct a small aquarium with an open top and two square ends that holds 2 ft 3 of water and requires 8 ft 2 of glass?  If so, what are the dimensions?

 

4.      A man rows a boat 500 feet upstream against a constant current in 10 minutes.  He then rows 300 feet downstream (same current) in 5 minutes. Find the speed of current and the equivalent rate at which he can row in still water.