Precalculus Practice Exam

Part 4	Test 6	Time: 2 hours

Matrix Algebra is no longer included in Math 4109.

1. Solve the following system of equations using Matrices:

   

2. Find the determinant of

   

3. Find the inverse of the matrix

   

4. Find the area of the triangle formed by the vertices (2,6),(-1,6) and (8,11).

5. If , and find the following:
   • 3A-4B
   • 
   • .

6. Find all the solutions of the following system of linear equations:

   

7. If , find the following:
   • Vertex.
   • Axis of Symmetry.
   • Minimum Value.
   • Maximum Value.
   • Domain of f(x).
   • Range of f(x).

8. When is

   

9. Find a polynomial with zero 7 of multiplicity 3, zero of -1 of multiplicity of 4, zero of 0 with multiplicity 2, and zero of 1-i, of multiplicity 3.

10. Find , if for .
11. Given the following constraints:

    

    • Find the maximum value of z=3x-5y.
    • Find the minimum value of z=3x-5y.

If you would like to check your answers, click on Answers .

If you would like to practice on another Part 4, click on Next Exam.

If you would like to practice on exams for Parts 1, 2 or 3, click on Menu . It will take you back to the original menu.

Thu Jul 3 17:21:09 MDT 1997

Copyright © 1999-2004 MathMedics, LLC. All rights reserved.
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA