Trident MAT101 case 4

MAT101 Case 4 Answer Template

I affirm that this assignment contains all original work. I am familiar with Trident University’s Academic Integrity policy located in the Trident Policy Handbook. I affirm that I have not engaged in direct duplication, copy/pasting, sharing assignments, collaboration with others, contract cheating and/or obtaining answers online, paraphrasing, or submitting/facilitating the submission of prior work. Work found to be unoriginal and in violation of this policy is subject to consequences such as a failing grade on the assignment, a failing grade in the course, and/or elevated academic sanctions. My name below affirms that the assignment was completed individually, and all work presented is my own.

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.

Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms where possible.

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. x+y=5

-x+y=3

Calculations:

Answer: _________________________________________________

6. 2x-2y=8

x-y=4

Calculations:

Answer: _________________________________________________

7. 3x-y=-2

3x-y=4

Calculations:

Answer: _________________________________________________

8. y=6

x=-3

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. x=6y+2

3x-18y=4

Calculations:

Answer: _______________

10. x-y=3

x+3y=6

Calculations:

Answer: _______________

11. y=-2x

4x-3y=12

Calculations:

Answer: _______________

12. 2x-5y=15

x-7y=3

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. x+y=6

x-y=4

Calculations:

Answer: _______________

14. -2x+3y=5

2x-y=1

Calculations:

Answer: _______________

15. 5x+y=2

3x+y=1

Calculations:

Answer: _______________

16. 5x=20+y

16=3y+4x

Calculations:

Answer: _______________

Solve the following systems of inequalities using the graphing method.

Shade the solution set.

17. x+y>4

y+3x<6

Calculations:

Answer: _________________________________________________

18. x≥5

y<3

Calculations:

Answer: _________________________________________________

19. 3x-2y>8

-2y+3x<12

Calculations:

Answer: _________________________________________________

20. 2x+y<8

x≥4

Calculations:

Answer: _________________________________________________