Algebra 2 Companion Book, Volume 1

5.1 Review Worksheet, Part 2 (continued)

5.1.6 The Quadratic Formula Find the zeros of each function by using the Quadratic Formula. 37. f ( x ) = 3 x 2 − 10 x + 3 38. g ( x ) = x 2 + 6 x

39. h ( x ) = x ( x − 3) − 4

40. g ( x ) = − x 2 − 2 x + 9

41. p ( x ) = 2 x 2 − 7 x − 8

42. f ( x ) = 7 x 2 − 3

43. r ( x ) = x 2 + x + 1

44. h ( x ) = − x 2 − x − 1

45. f ( x ) = 2 x 2 + 8

46. f ( x ) = 2 x 2 + 7 x − 13

47. g ( x ) = x 2 − x − 5

48. h ( x ) = − 3 x 2 + 4 x − 4

Find the type and number of solutions for each equation. 49. 2 x 2 + 5 = 2 x 50. 2 x 2 − 3 x = 8

51. 2 x 2 − 16 x = − 32

52. 4 x 2 − 28 x = − 49

53. 3 x 2 − 8 x + 8 = 0

54. 3.2 x 2 − 8.5 x + 1.3 = 0

55.  If a tightrope walker falls, he will land on a safety net. His height h in feet after a fall can be modeled by h ( t ) = 60 − 16 t 2 , where t is the time in seconds. How many seconds will the tightrope walker fall before landing on the safety net?

60 ft

11 ft

256

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