Write the augmented matrix for the system. Do not solve the system.

1)  7x - 2y = 36

    8x + 9y = 75

Use the Gauss-Jordan elimination method to solve the system of equations.

2)  -2x - 7y =   -5

     -8x - 28y =  4

Use the Gauss-Jordan elimination method to solve the system of equations.

3) -6x + 6y = -36

       3x - 3y = 18

Use the Gauss-Jordan elimination method to solve the system of equations.

4) 2x + 5y = -7

   -6x - 15y = 21

For the following problem, set up the augmented matrix that describes the situation, and solve for the

desired solution.

5) John has a jarful of quarters and nickels. There are 104 coins in the jar.  The value of the coins is $16.60.  How many of each type of coin are there?

Graph the inequality and show (shade in) solution region.

6) 2y < - 4

Graph the inequality and show (shade in) solution region.

7) x + 2y ≥  6

Graph the inequality and show (shade in) solution region.

8) -2y + 4x ≤ 8

Graph the system of inequalities. Show (by shading in) the feasible region.  

9) – x – y < 5 , x < 2y

Graph the system of inequalities. Show (by shading in) the feasible region.  Identify the ordered-pair “corner points” that define the feasible region.

10) 3x + y ≥ 6, x + 2y ≥ 7, x ≥ 0, y ≥ 0

Math 106
Quiz 3 Page 1 MAT 106 Quiz 3
Professor: Sonya McQueen Name________________________________ Date_______________________ Instructions: The quiz is worth 100 points. There are 10 problems, each worth 10 points. Your score on the quiz will
be converted to a percentage and posted in your gradebook with comments. This quiz is open book and open notes, and you may take as long as you like on it provided that you
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signature. Without this signed statement you will receive a zero. Please remember
to show
yourworking
work onindependently
every problem.
I have completed
thisALL
quiz of
myself,
and not consulting anyone except the instructor. I
have neither given nor received help on this quiz. Math 106
Quiz 3
Write the augmented matrix for the system. Do not solve the system.
1) 7x - 2y = 36
8x + 9y = 75 Use the Gauss-Jordan elimination method to solve the system of equations.
2) -2x - 7y = -5
-8x - 28y = 4 Use the Gauss-Jordan elimination method to solve the system of equations.
3) -6x + 6y = -36
3x - 3y = 18 Use the Gauss-Jordan elimination method to solve the system of equations.
4) 2x + 5y = -7 Page 2 Math 106
Quiz 3
-6x - 15y = 21 Page 3 For the following problem, set up the augmented matrix that describes the situation, and solve for the
desired solution.
5) John has a jarful of quarters and nickels. There are 104 coins in the jar. The value of the coins is $16.60.
How many of each type of coin are there? Graph the inequality and show (shade in) solution region.
6) 2y &lt; - 4 Graph the inequality and show (shade in) solution region. Math 106
Quiz 3
7) x + 2y ≥ 6 Graph the inequality and show (shade in) solution region.
8) -2y + 4x ≤ 8 Graph the system of inequalities. Show (by shading in) the feasible region. Page 4 Math 106
Quiz 3 Page 5 9) – x – y &lt; 5 , x &lt; 2y Graph the system of inequalities. Show (by shading in) the feasible region. Identify the ordered-pair
“corner points” that define the feasible region.
10) 3x + y ≥ 6, x + 2y ≥ 7, x ≥ 0, y ≥ 0

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