MAT101 Case 4

Category: Mathematics

 

MAT101 Case 4 Answer Template

 

 

 

Name:                        

 

Date:                           

 

Instructor:                      

 

 

 

Use this template to insert your answers for the assignment.  Please use one of the four methods for showing your work (EE, Math Type, ALT keys, or neatly typed).  Remember that your work should be clear and legible.  

 

 

 

1.  What are the 3 methods for solving systems of equations?  Which one do you prefer and why?

 

Answer: ­­­­______________________________________________________

 

Preference/reason: _____________________________________________

 

 

 

2.  Describe a consistent system.

 

Answer: ­­­­______________________________________________________ 

 

 

 

3.  Describe an inconsistent system.

 

Answer: ­­­­______________________________________________________ 

 

 

 

4.  Describe a dependent system.

 

Answer: ­­­­______________________________________________________ 

 

 

 

Go to ‘insert’ and ‘shapes’.  Choose the circles for the points and the lines to connect the dots.  Use the arrows to represent the shading.

 

 

 

For example:

 

 

Solve the following systems of equations using the graphing method. 

 

What type of system is it?  Name the solution if there is one.

 

 

 

5.  

 

    

 

 

 

Calculations:

 

 

 

 

 

 

 

Answer: _________________________________________________

 

 

 

 

 

 

6. 

 

    

 

Calculations:

 

 

 

 

 

 

 

Answer: _________________________________________________

 

 

 

 

 

 

 

 

 

 

7. 

 

 

Calculations:

 

 

 

 

 

 

 

Answer: _________________________________________________

 

 

8. 

 

 

Calculations:

 

 

 

 

 

 

 

Answer: _________________________________________________

 

 

 

 

 

 

 

 

Solve the following systems of equations using the substitution method. 

 

What type of system is it?  Name the solution if there is one.

 

 

 

9. 

 

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

 

 

10. 

 

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

 

 

11. 

 

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

 

 

12. 

 

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

Solve the following systems of equations using the addition (elimination) method. 

 

What type of system is it?  Name the solution if there is one.

 

 

 

13. 

 

 

Calculations:

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

14. 

 

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

15. 

 

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

16. 

 

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

 

 

Solve the following systems of inequalities using the graphing method. 

 

Shade the solution set.

 

 

 

17. 

 

      

 

Calculations:

 

 

 

 

 

 

 

Answer: _________________________________________________

 

 

 

 

 

 

18. 

 

      

 

Calculations:

 

 

 

 

 

 

 

Answer: _________________________________________________

 

 

19. 

 

    

 

Calculations:

 

 

 

 

 

 

 

Answer: _________________________________________________

 

 

 

 

 

 

 

 

20. 

 

      

 

Calculations:

 

 

 

 

 

 

 

Answer: _________________________________________________

 

 

 

 

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