College Algebra (TUTOR DANIEL ONLY)

Module 4 - Case

SYSTEMS OF EQUATIONS AND INEQUALITIES

Assignment Expectations

Complete the following problems using the  Case 4 Answer Template . 

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

2. Describe a consistent system.

3. Describe an inconsistent system.

4. Describe a dependent system.

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

6. 2x – 2y = 8 x – y = 4

7. 3x – y = -2 3x – y = 4

8. y = 6 x = -3

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

10. x – y = 3 x + 3y = 6

11. y = -2x 4x – 3y = 12

12. 2x – 5y = 15 x – 7y = 3

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

14. -2x + 3y = 5 2x – y = 1

15. 5x + y = 2 3x + y = 1

16. 5x = 20 + y 16 = 3y + 4x

Solve the following systems of inequalities using the graphing method. 

Shade the solution set.

17. x + y > 4 y + 3x < 6

18. x ≥ 5 y < 3

19. 3x – 2y > 8 -2y + 3x < 12

20. 2x + y < 8 x ≥ 4