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Slide 8 - 1 Copyright © 2009 Pearson Education, Inc. Active Learning Lecture Slides For use with Classroom Response Systems © 2009 Pearson Education, Inc.

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Presentation on theme: "Slide 8 - 1 Copyright © 2009 Pearson Education, Inc. Active Learning Lecture Slides For use with Classroom Response Systems © 2009 Pearson Education, Inc."— Presentation transcript:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

42 Slide 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 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 Copyright © 2009 Pearson Education, Inc. Graph a.b. c.d.

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

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

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

48 Slide 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 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 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 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


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