Chapter 3 Practice Test
Name ___________________
Per # ______
Directions:
 Do all work on a separate sheet of paper (graphs on graph paper)
 At the beginning of each section, list all of the objectives that match the problems in that section (there may be
objectives from other chapters!!)
 After the list of objectives, complete the problem for that section.
SECTION 4 IS OPTIONAL! You can complete it for extra practice if you choose.
Section 1:
1
x  7 8?
2
3
x 2 6?
2. What is the vertex for the graph of y 
4
1. What is the shape for the graph of y  
GRAPH:
3. y  2 x  3  5 .
4. y 
3
x2 6
4
Write the inequality for the graph.
7.
5.  2 x  y  1
6. y  2 
1
x  4
3
8.
Section 2:
9. Without graphing, classify the system of equations as Independent, Dependent, or Inconsistent and
explain why.
4x – 3y = 2
6y + 4 = 8x
Solve the system of equations by Graphing. (You may do two on the calculator)
10. y  4 x  3
11. 5x + 2y = 14
3
y  x2
x+y=1
2
2
x4
3
x  y 1
12. y 
3
x  4
4
2 x  y  10
13. y  2 
Solve the system of equations by Substitution. Show work for credit.
14. 5x = -19 – 3y
15. 4x – 3y = 35
16. 5x – 2y = 6
y = 4x + 5
-2x + y = -11
3x – 6y = -30
Solve the system of equations by Elimination. Show work for credit.
17. 6x – y = 38
18. 4x – 3y = 35
19. 5x – 2y = 6
4x – 3y = 44
-2x + y = -11
3x – 6y = -30
Section 3:
Solve each System of Inequalities by graphing.
20. y  2 x  3
y
21. 3x  4 y  0
2
x5
3
23. y  1 
3
x  4
2
y  3 x  2  1
5 x  2 y  6
22. y 
1
x2
2
y  2 x  2  5
24. x  2 y  2
y
1
x3 2
2
25. Graph the feasible region and clearly label all vertices.
3 y  2 x  16
3 y  6 x  30


4 x  y  5
 x  0, y  0
26. a) Graph the constraints. Find coordinates for each vertex.
3

 y  2 x 3

Constraints  y   x  7
 x  0, y  0


b) What values of x and y maximize P for the objective function P = 2x + 3y?
Section 4:
28. A small community is trying to establish a public transportation system made up of large and
small buses. The community can spend no more than $180,000 for the system and no more than
$1,200 per month for maintenance. The community can purchase a small bus for $10,000 and
maintain it for $75 per month. The large buses cost $20,000 each and can be maintained for $100 per
month. Each large bus carries a maximum of 15 passengers, and each small bus carries a maximum
of 7 passengers. Find the maximum number of passengers that can be transported during one month.