1. Slide 8 - 1 Copyright © 2009 Pearson Education, Inc. Active Learning Lecture Slides For use with Classroom Response Systems © 2009 Pearson Education, Inc. All rights reserved. Chapter 8 Systems of Equations and Inequalities

2. Slide 8 - 2 Copyright © 2009 Pearson Education, Inc. Solve the system of equations by substitution. a. b. c. d.

3. Slide 8 - 3 Copyright © 2009 Pearson Education, Inc. Solve the system of equations by substitution. a. b. c. d.

4. Slide 8 - 4 Copyright © 2009 Pearson Education, Inc. Solve the system of equations by elimination. a. b. c. d.

5. Slide 8 - 5 Copyright © 2009 Pearson Education, Inc. Solve the system of equations by elimination. a. b. c. d.

6. Slide 8 - 6 Copyright © 2009 Pearson Education, Inc. Solve the system of equations. a. b. c. d.inconsistent

7. Slide 8 - 7 Copyright © 2009 Pearson Education, Inc. Solve the system of equations. a. b. c. d.inconsistent

8. Slide 8 - 8 Copyright © 2009 Pearson Education, Inc. Solve the system of equations. a. b. c. d.inconsistent

9. Slide 8 - 9 Copyright © 2009 Pearson Education, Inc. Solve the system of equations. a. b. c. d.inconsistent

10. Slide 8 - 10 Copyright © 2009 Pearson Education, Inc. Solve the system of equations. a. b. c. d.inconsistent

11. Slide 8 - 11 Copyright © 2009 Pearson Education, Inc. Solve the system of equations. a. b. c. d.inconsistent

12. Slide 8 - 12 Copyright © 2009 Pearson Education, Inc. Write the augmented matrix of the system of equations. a. c. b. d.

13. Slide 8 - 13 Copyright © 2009 Pearson Education, Inc. Write the augmented matrix of the system of equations. a. c. b. d.

14. Slide 8 - 14 Copyright © 2009 Pearson Education, Inc. Write the system of equations corresponding to the augmented matrix. a. c. b. d.

15. Slide 8 - 15 Copyright © 2009 Pearson Education, Inc. Write the system of equations corresponding to the augmented matrix. a. c. b. d.

16. Slide 8 - 16 Copyright © 2009 Pearson Education, Inc. Perform the row operations. a. c. b. d.

17. Slide 8 - 17 Copyright © 2009 Pearson Education, Inc. Perform the row operations. a. c. b. d.

18. Slide 8 - 18 Copyright © 2009 Pearson Education, Inc. Solve the system of equations using Cramer’s Rule. a. b. c. d.

19. Slide 8 - 19 Copyright © 2009 Pearson Education, Inc. Solve the system of equations using Cramer’s Rule. a. b. c. d.

20. Slide 8 - 20 Copyright © 2009 Pearson Education, Inc. Find the value of the determinant. a.62 b.–70 c.–62 d.–192

21. Slide 8 - 21 Copyright © 2009 Pearson Education, Inc. Find the value of the determinant. a.62 b.–70 c.–62 d.–192

22. Slide 8 - 22 Copyright © 2009 Pearson Education, Inc. Find the value of the determinant second determinant. a.52 b.–52 c.0 d.cannot be determined

23. Slide 8 - 23 Copyright © 2009 Pearson Education, Inc. Find the value of the determinant second determinant. a.52 b.–52 c.0 d.cannot be determined

24. Slide 8 - 24 Copyright © 2009 Pearson Education, Inc. Find A – B. a. c. b. d.

25. Slide 8 - 25 Copyright © 2009 Pearson Education, Inc. Find A – B. a. c. b. d.

26. Slide 8 - 26 Copyright © 2009 Pearson Education, Inc. Find 3A. a. c. b. d.

27. Slide 8 - 27 Copyright © 2009 Pearson Education, Inc. Find 3A. a. c. b. d.

28. Slide 8 - 28 Copyright © 2009 Pearson Education, Inc. Compute the product. a. c. b. d.Not defined

29. Slide 8 - 29 Copyright © 2009 Pearson Education, Inc. Compute the product. a. c. b. d.Not defined

30. Slide 8 - 30 Copyright © 2009 Pearson Education, Inc. b. d. The matrix is nonsingular. Find the inverse of the matrix. a. c.

31. Slide 8 - 31 Copyright © 2009 Pearson Education, Inc. b. d. The matrix is nonsingular. Find the inverse of the matrix. a. c.

32. Slide 8 - 32 Copyright © 2009 Pearson Education, Inc. b. d. Write the partial fraction decomposition. a. c.

33. Slide 8 - 33 Copyright © 2009 Pearson Education, Inc. b. d. Write the partial fraction decomposition. a. c.

34. Slide 8 - 34 Copyright © 2009 Pearson Education, Inc. b. d. Write the partial fraction decomposition. a. c.

35. Slide 8 - 35 Copyright © 2009 Pearson Education, Inc. b. d. Write the partial fraction decomposition. a. c.

36. Slide 8 - 36 Copyright © 2009 Pearson Education, Inc. b. d. Write the partial fraction decomposition. a. c.

37. Slide 8 - 37 Copyright © 2009 Pearson Education, Inc. b. d. Write the partial fraction decomposition. a. c.

38. Slide 8 - 38 Copyright © 2009 Pearson Education, Inc. b. d. Write the partial fraction decomposition. a. c.

39. Slide 8 - 39 Copyright © 2009 Pearson Education, Inc. b. d. Write the partial fraction decomposition. a. c.

40. Slide 8 - 40 Copyright © 2009 Pearson Education, Inc. b. d. Solve the system of equations using substitution. a. c.

41. Slide 8 - 41 Copyright © 2009 Pearson Education, Inc. b. d. Solve the system of equations using substitution. a. c.

42. Slide 8 - 42 Copyright © 2009 Pearson Education, Inc. The sum of the squares of two numbers is 65. The sum of the two numbers is 3. Find the two numbers. a.–4 and 7 or –7 and 4 b.–4 and 7 c.–7 and 4 d.4 and 7 or –7 and –4

43. Slide 8 - 43 Copyright © 2009 Pearson Education, Inc. The sum of the squares of two numbers is 65. The sum of the two numbers is 3. Find the two numbers. a.–4 and 7 or –7 and 4 b.–4 and 7 c.–7 and 4 d.4 and 7 or –7 and –4

44. Slide 8 - 44 Copyright © 2009 Pearson Education, Inc. Graph a.b. c.d.

45. Slide 8 - 45 Copyright © 2009 Pearson Education, Inc. Graph a. b. c.d.

46. Slide 8 - 46 Copyright © 2009 Pearson Education, Inc. Graph the solution set of a. b. c.d.

47. Slide 8 - 47 Copyright © 2009 Pearson Education, Inc. Graph the solution set of a. b. c.d.

48. Slide 8 - 48 Copyright © 2009 Pearson Education, Inc. Mrs. Jones needs 7 hours to knit a hat and 3 for an afghan. She has no more than 46 hours, enough material for no more than 10 items and needs at least two afghans. Write a system of inequalities that describes these constraints. a. c. b. d.

49. Slide 8 - 49 Copyright © 2009 Pearson Education, Inc. Mrs. Jones needs 7 hours to knit a hat and 3 for an afghan. She has no more than 46 hours, enough material for no more than 10 items and needs at least two afghans. Write a system of inequalities that describes these constraints. a. c. b. d.

50. Slide 8 - 50 Copyright © 2009 Pearson Education, Inc. A candy company has 145 pounds of cashews and 190 pounds of peanuts. The deluxe mix contains half cashews and half peanuts and sells for $8 per pound. The economy mix has one third cashews and two thirds peanuts and sells for $5.70 per pound. How many pounds of each mix should be prepared for maximum revenue? a.100 deluxe, 45 economy c.200 deluxe, 135 economy b.300 deluxe, 90 economy d.145 deluxe, 0 economy

51. Slide 8 - 51 Copyright © 2009 Pearson Education, Inc. A candy company has 145 pounds of cashews and 190 pounds of peanuts. The deluxe mix contains half cashews and half peanuts and sells for $8 per pound. The economy mix has one third cashews and two thirds peanuts and sells for $5.70 per pound. How many pounds of each mix should be prepared for maximum revenue? a.100 deluxe, 45 economy c.200 deluxe, 135 economy b.300 deluxe, 90 economy d.145 deluxe, 0 economy