Math A

Practice Graphing Linear Systems

 

You will need paper and pencil to graph the following problems.  If you have graph paper, please use your graph paper.  Do NOT use your graphing calculator for these practice problems.

 

1.

Solve the following system of equations graphically.

y  = (3/2) x

2y = -x + 8


Answer     

 

 

2.

Solve the following system of equations graphically:

y = 3

3y = 3x + 12


Answer     

 

3.

The zoo is erecting a new habitat for the giraffes.  A model of the habitat can be drawn using the equations
x = 2, y = 6, y - 2x = 5, and y = (1/3)x -1.

On graph paper, prepare a drawing of the habitat.

Find the area of the habitat.

 


Answer      

 

 

4.

Ted and Jason are going to race their dirt bikes.  Since Ted is younger, Jason is going to give him a 10 mile head start.  Ted travels at 10 mph and Jason travels at 20 mph. 

Prepare a graph representing the boys race.

Put the time in hours on the x-axis
 and the distance in miles on the y-axis.

At what time will Jason catch up with Ted?
  How far will they have traveled when they meet?


Answer      

 

 

Greyblue.jpg (6110 bytes)

BackMath.gif (4139 bytes)


Roberts