Standardized Test Prep

GRIDDED RESPONSE

SAT/ACT

38. The table shows the time it takes a computer program to run, given the number of files used as input. Using a cubic model, what do you predict the run time will be if the input consists of 1000 files?

    Files	Time(s)
    100	0.5
    200	0.9
    300	3.5
    400	8.2
    500	14.8

39. Suppose you hit a ball and its flight follows the graph of f ( x ) = − 16 x 2 + 20 x + 3 . f open x close equals negative 16 , x squared , plus 20 x plus 3 .  How many seconds will it take for the ball to hit the ground? Round your answer to the nearest second.
40. What is the multiplicity of the zeros of y = 16 x 2 − 8 x + 1 ? y equals 16 , x squared , minus 8 x plus 1 question mark
41. What is the slope of the line shown?

42. What is the degree of the polynomial function y = − 9 x 3 − 5 x 2 − 2 x 5 + 4 x + x 4 + 1 ? y equals negative 9 , x cubed , minus , 5 x squared , minus , 2 x to the fifth , plus 4 x plus , x to the fourth , plus 1 question mark

    

Mixed Review

See Lesson 5-7.

Expand each binomial.

43. ( 2 x + 3 ) 5 open 2 x plus 3 close to the fifth
44. ( 11 x − 1 ) 3 open 11 x minus 1 close cubed
45. ( 8 − 3 x ) 4 open 8 minus 3 x close to the fourth
46. ( 4 + 9 x ) 3 open 4 plus 9 x close cubed

See Lesson 1-6.

Write each compound inequality as an absolute value inequality.

47. 7 < x < 9 7 less than x less than 9
48. 1 4 ≤ x ≤ 1 2 1 fourth , less than or equal to x less than or equal to , 1 half
49. 1 . 7 < y < 3 . 9 1 . 7 less than y less than 3 . 9
50. 500 < t < 1000 500 less than t less than , 1000

See Lesson 1-4.

Solve each formula for the indicated variable.

51. A = s 2 ,  for  s eh equals , s squared , comma , for , s
52. P = 2 ( l + w ) ,  for  l p equals 2 open l plus w close comma , for , l
53. C = 2 π r ,  for  r c equals 2 pi r comma , for , r
54. A = b h ,  for  b eh equals b h comma , for , b

Get Ready! To prepare for Lesson 5-9, do Exercises 55–58.

See Lesson 4-1.

Graph each function.

55. y = x 2 y equals , x squared
56. y = − 4 x 2 y equals negative 4 , x squared
57. y = x 2 + 3 y equals , x squared , plus 3
58. y = − 7 x 2 − 1 y equals negative 7 , x squared , minus 1

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