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Math 176: Test for Chapters 7 and 8

This test may be taken with a calculator and any number of hand-written notes. Computers or books and other printed material, be they copies, printouts, or typed, are not allowed.
Place your answer in space provide for each question.
Notice: this page changes every time it is loaded, or re-loaded (refreshed). Be careful to read all of each problem. Because these pages are produced on the WEB, for printed versions of these pages there is a chance that a problem, or its possible answers, will be split across two pages.

Solving Systems of Linear Equations

Solve each of the following systems of linear equations.
____________________ 1.
____________________ 2.
____________________ 3.
____________________ 4.
____________________ 5.
____________________ 6.
____________________ 7.

Elementary Row Operations

For each of the following, perform the indicated row operation on the matrix given. Note that the particular operations are chosen just to demonstrate the elementary row opertions
____________________ 8.
____________________ 9.
____________________ 10.

Partial Fractions

____________________ 11.
____________________ 12.

Systems of Linear Inequalities

____________________ 13.-19.

Matrix Operations


Use the following matrices to do the problems 20 through 32.
____________________ 20.

____________________ 21.
____________________ 22.
____________________ 23.
____________________ 24.
____________________ 25.
____________________ 26.
____________________ 27.
____________________ 28.
____________________ 29.
____________________ 30.
____________________ 31.
____________________ 32.

____________________ 33.  
____________________ 34. Find the inverse of the following matrix. Be sure to write out your solution in rational number form, i.e., where each element of the matrix is either an integer or a fraction in p/q form, where p and q are integers, reduced to lowest terms.
____________________ 35. Find the inverse of the following matrix. Be sure to write out your solution in rational number form, i.e., where each element of the matrix is either an integer or a fraction in p/q form, where p and q are integers, reduced to lowest terms.
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©Roger M. Palay     Saline, MI 48176     December, 2010