Name:    Chapter 8 Post Test

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

Use the graph of the equations to determine the solution (if any) of the system of linear equations.

 a. b. c. d. e.

2.

Select the graphs of the equations and approximate any solutions of the system of linear equations.
 a. d. infinitely many solutions b. e. no solution c.

3.

Select the graphs of the equations below and find solutions of the system of linear equations (if any).

 a. d. b. e. no solution c.

4.

If possible, solve the system below by the method of substitution.

 a. b. c. d. e.

5.

If possible, solve the system below by the method of elimination. Use the graph to check the solution.

 a. b. c. d. e.

6.

If possible, solve the system below by the method of elimination.

 a. b. c. d. e.

7.

Solve the system of linear equations below by the method of elimination.

 a. b. c. d. e.

8.

Decide whether the system is consistent or inconsistent.
 a. inconsistent b. consistent

9.

Determine which ordered triple below is a solution of the system of linear equations.

or
 a. b. c. d. e.

10.

Use back-substitution to solve the system of linear equations below.

 a. b. c. d. e.

11.

Find a system of linear equations below that has the point as a solution.

, , , or
 a. b. c. d. e.

12.

Form the coefficient matrix for the system of linear equations below.

 a. b. c. d. e.

13.

Write the system of linear equations represented by the augmented matrix below. Use variables x, y, z, v, and w.

 a. b. c. d. e.

14.

Use matrices to solve the system of linear equations below.

 a. b. c. d. e.

15.

Use matrices to solve the system of linear equations below.

 a. b. c. d. e.

16.

Use a determinant to find the area of the triangle with vertices , , and .
 a. b. c. d. e.

17.

Match the system of linear inequalities below with its graph.

 Graph A: Graph B: Graph C: Graph E: Graph E:
 a. Graph E b. Graph B c. Graph D d. Graph A e. Graph C

18.

Match the system of linear inequalities below with its graph.

 a. d. b. e. c.

19.

Determine if the ordered pair is a solution of the system of linear inequalities .
 a. not a solution b. solution

20.

Graph the system of linear inequalities below.

 a. d. b. e. c.