1. Slide 3 - 1 MAT 171 Chapter 3 Review The following is a brief review of Chapter 3 for Test 2 that covers Chapters 2 & 3 and Section 10.7. This does NOT cover all the material that may be on the test. Click on Slide Show and View Slide Show. Read and note your answer to the question. Advance the slide to see the answer. Dr. Claude Moore, Math Instructor, CFCC

2. Slide 3 - 2 Active Learning Lecture Slides For use with Classroom Response Systems © 2009 Pearson Education, Inc. Chapter 3

3. Slide 3 - 3 Copyright © 2009 Pearson Education, Inc. Chapter 3: Quadratic Functions and Equations; Inequalities 3.1The Complex Numbers 3.2Quadratic Equations, Functions, Zeros, and Models 3.3Analyzing Graphs of Quadratic Functions 3.4Solving Rational Equations and Radical Equations 3.5Solving Equations and Inequalities with Absolute Values

4. Slide 3 - 4 Copyright © 2009 Pearson Education, Inc. Express in terms of i. a. c. b. d.

5. Slide 3 - 5 Copyright © 2009 Pearson Education, Inc. Express in terms of i. a. c. b. d.

6. Slide 3 - 6 Copyright © 2009 Pearson Education, Inc. Simplify: (4 – 2i) – (8 + 3i). a. –4 – 5i c. 12 – 5i b. –4 + i d. –3i

7. Slide 3 - 7 Copyright © 2009 Pearson Education, Inc. Simplify: (4 – 2i) – (8 + 3i). a. –4 – 5i c. 12 – 5i b. –4 + i d. –3i

8. Slide 3 - 8 Copyright © 2009 Pearson Education, Inc. Simplify: (3 + 2i)(4 – i). a. 14 + 5i c. 12 – 2i b. 10 + 5i d. 7 + i

9. Slide 3 - 9 Copyright © 2009 Pearson Education, Inc. Simplify: (3 + 2i)(4 – i). a. 14 + 5i c. 12 – 2i b. 10 + 5i d. 7 + i

10. Slide 3 - 10 Copyright © 2009 Pearson Education, Inc. Simplify: i 17. a. i c.  i b.  1 d. 1

11. Slide 3 - 11 Copyright © 2009 Pearson Education, Inc. Simplify: i 17. a. i c.  i b.  1 d. 1

12. Slide 3 - 12 Copyright © 2009 Pearson Education, Inc. Simplify: i 23. a. i c.  i b.  1 d. 1

13. Slide 3 - 13 Copyright © 2009 Pearson Education, Inc. Simplify: i 23. a. i c.  i b.  1 d. 1

14. Slide 3 - 14 Copyright © 2009 Pearson Education, Inc. Solve: 5x 2 + 17x + 6 = 0. a. c. b. d.

15. Slide 3 - 15 Copyright © 2009 Pearson Education, Inc. Solve: 5x 2 + 17x + 6 = 0. a. c. b. d.

16. Slide 3 - 16 Copyright © 2009 Pearson Education, Inc. Solve: 5t 2 – 2t + 6 = 0. a. c. b. d.

17. Slide 3 - 17 Copyright © 2009 Pearson Education, Inc. Solve: 5t 2 – 2t + 6 = 0. a. c. b. d.

18. Slide 3 - 18 Copyright © 2009 Pearson Education, Inc. Solve x 2 + 6x = 2 by completing the square. a. c. b. d.

19. Slide 3 - 19 Copyright © 2009 Pearson Education, Inc. Solve x 2 + 6x = 2 by completing the square. a. c. b. d.

20. Slide 3 - 20 Copyright © 2009 Pearson Education, Inc. Solve x 2 + 8x = 12 by completing the square. a. c. b. d.

21. Slide 3 - 21 Copyright © 2009 Pearson Education, Inc. Solve x 2 + 8x = 12 by completing the square. a. c. b. d.

22. Slide 3 - 22 Copyright © 2009 Pearson Education, Inc. Find the zeros of f(x) = 6x 2 + 13x – 15. a. c. b. d.

23. Slide 3 - 23 Copyright © 2009 Pearson Education, Inc. Find the zeros of f(x) = 6x 2 + 13x – 15. a. c. b. d.

24. Slide 3 - 24 Copyright © 2009 Pearson Education, Inc. The sum of the base and height of a triangle is 56 in. Find the height for which the area is maximum. a. h = 14 in. c. h = 42 in. b. h = 28 in. d. h = 112 in.

25. Slide 3 - 25 Copyright © 2009 Pearson Education, Inc. The sum of the base and height of a triangle is 56 in. Find the height for which the area is maximum. a. h = 14 in. c. h = 42 in. b. h = 28 in. d. h = 112 in.

26. Slide 3 - 26 Copyright © 2009 Pearson Education, Inc. For the graph of the function f(x) = 3x 2 – 12x + 16 find the vertex. a. (2, 4) c. (2,  4) b. (2, 52) d. (  6, 4)

27. Slide 3 - 27 Copyright © 2009 Pearson Education, Inc. For the graph of the function f(x) = 3x 2 – 12x + 16 find the vertex. a. (2, 4) c. (2,  4) b. (2, 52) d. (  6, 4)

28. Slide 3 - 28 Copyright © 2009 Pearson Education, Inc. For the graph of the function f(x) = 4x 2 – 8x – 1 find the axis of symmetry. a. x = 2 c. b. x = 1 d. x =  5

29. Slide 3 - 29 Copyright © 2009 Pearson Education, Inc. For the graph of the function f(x) = 4x 2 – 8x – 1 find the axis of symmetry. a. x = 2 c. b. x = 1 d. x =  5

30. Slide 3 - 30 Copyright © 2009 Pearson Education, Inc. For the graph of the function f(x) = 6x 2 – 6x – 3 find the axis of symmetry. a. x = 2 c. b. d. x =  2

31. Slide 3 - 31 Copyright © 2009 Pearson Education, Inc. For the graph of the function f(x) = 6x 2 – 6x – 3 find the axis of symmetry. a. x = 2 c. b. d. x =  2

32. Slide 3 - 32 Copyright © 2009 Pearson Education, Inc. The Cotes have 30 feet of picket fence with which to enclose a flower garden. What dimensions should the garden have in order to maximize area? a. 2 ft by 13 ft c. 7.5 ft by 7.5 ft b. 4 ft by 11 ft d. 10 ft by 5 ft

33. Slide 3 - 33 Copyright © 2009 Pearson Education, Inc. The Cotes have 30 feet of picket fence with which to enclose a flower garden. What dimensions should the garden have in order to maximize area? a. 2 ft by 13 ft c. 7.5 ft by 7.5 ft b. 4 ft by 11 ft d. 10 ft by 5 ft

34. Slide 3 - 34 Copyright © 2009 Pearson Education, Inc. Solve: a. 3 c.  1 b.  3, 7 d.  7, 3

35. Slide 3 - 35 Copyright © 2009 Pearson Education, Inc. Solve: a. 3 c.  1 b.  3, 7 d.  7, 3

36. Slide 3 - 36 Copyright © 2009 Pearson Education, Inc. Solve: a. 2 c. 14 b. 4 d. 16

37. Slide 3 - 37 Copyright © 2009 Pearson Education, Inc. Solve: a. 2 c. 14 b. 4 d. 16

38. Slide 3 - 38 Copyright © 2009 Pearson Education, Inc. Solve: a. 25 c. 5 b. 5, 69 d.

39. Slide 3 - 39 Copyright © 2009 Pearson Education, Inc. Solve: a. 25 c. 5 b. 5, 69 d.

40. Slide 3 - 40 Copyright © 2009 Pearson Education, Inc. Solve: a. c. b. d. 3

41. Slide 3 - 41 Copyright © 2009 Pearson Education, Inc. Solve: a. c. b. d. 3

42. Slide 3 - 42 Copyright © 2009 Pearson Education, Inc. Solve: a. c. b. d.

43. Slide 3 - 43 Copyright © 2009 Pearson Education, Inc. Solve: a. c. b. d.

44. Slide 3 - 44 Copyright © 2009 Pearson Education, Inc. Solve: a. c. b. d.

45. Slide 3 - 45 Copyright © 2009 Pearson Education, Inc. Solve: a. c. b. d.

46. Slide 3 - 46 Copyright © 2009 Pearson Education, Inc. Solve: a. c. b. d.

47. Slide 3 - 47 Copyright © 2009 Pearson Education, Inc. Solve: a. c. b. d. [8, 16]