Standardized Test Prep

SAT/ACT

50. Which function is graphed below?

    

    1. y = ( x + 4 ) ( x − 1 ) ( x + 2 ) y equals open x plus 4 close open x minus 1 close open x plus 2 close
    2. y = ( x − 4 ) ( x − 1 ) ( x + 2 ) y equals open x minus 4 close open x minus 1 close open x plus 2 close
    3. y = ( x − 4 ) ( x + 1 ) ( x − 2 ) y equals open x minus 4 close open x plus 1 close open x minus 2 close
    4. y = ( x + 4 ) ( x + 1 ) ( x − 2 ) y equals open x plus 4 close open x plus 1 close open x minus 2 close

51. Which function generates the table of values below?

    x	y
    1 2 1 half	− 1 negative 1
    1	0
    2	1
    4	2

    6. y = log 1 2 x y equals . log base 1 half . x
    7. y = − log 2 x y equals negative , log base 2 , x
    8. y = log 2 x y equals , log base 2 , x
    9. y = ( 1 2 ) x y equals . open , 1 half , close to the x
52. Which expression equals x x 2 − 2 x − 3 ⋅ 2 x − 6 x 2 − 4 x + 3 ? fraction x , over x squared , minus 2 x minus 3 end fraction . dot . fraction 2 x minus 6 , over x squared , minus 4 x plus 3 end fraction . question mark
    1. 2 x − 1 ( x − 1 ) ( x + 3 ) ( x + 1 ) fraction 2 x minus 1 , over open , x minus 1 , close . open , x plus 3 , close . open , x plus 1 , close end fraction
    2. 2 x + 1 ( x − 1 ) ( x + 1 ) ( x − 3 ) fraction 2 x plus 1 , over open , x minus 1 , close . open , x plus 1 , close . open , x minus 3 , close end fraction
    3. 2 x ( x − 1 ) ( x + 1 ) ( x − 3 ) fraction 2 x , over open , x minus 1 , close . open , x plus 1 , close . open , x minus 3 , close end fraction
    4. 2 x ( x + 3 ) ( x − 1 ) ( x + 1 ) fraction 2 x , over open , x plus 3 , close . open , x minus 1 , close . open , x plus 1 , close end fraction

Short Response

53. What is the solution of the equation 3 − x = 1 243 ? 3 super negative x end super , equals , 1 over 243 , question mark

Mixed Review

See Lesson 8-3.

Find the vertical asymptotes and holes for the graph of each rational function.

54. y = x − 3 x − 3 y equals . fraction x minus 3 , over x minus 3 end fraction
55. y = x − 1 ( 3 x + 2 ) ( x + 1 ) y equals . fraction x minus 1 , over open , 3 x plus 2 , close . open , x plus 1 , close end fraction
56. y = ( x − 4 ) ( x + 5 ) ( x + 3 ) ( x − 4 ) y equals . fraction open , x minus 4 , close . open , x plus 5 , close , over open , x plus 3 , close . open , x minus 4 , close end fraction

See Lesson 7-3.

Evaluate each logarithm.

57. log 4 64 log base 4 , 64
58. log 2 1 32 log base 2 . 1 thirty second
59. log 5 5 5 log base 5 , 5 square root of 5
60. log 16 8 log base 16 , 8

See Lesson 6-5.

Solve. Check for extraneous solutions.

61. x − 3 = 4 square root of x minus 3 equals 4
62. x + 1 − 5 = 8 square root of x plus 1 end root , minus 5 equals 8
63. 5 x − 3 = 2 x + 3 square root of 5 x minus 3 end root . equals . square root of 2 x plus 3 end root

Get Ready! To prepare for Lesson 8-5, do Exercises 64-67.

See p. 965.

Add or Subtract.

64. 5 19 + 7 38 5 nineteenths , plus , 7 thirty eighths
65. 2 15 + 3 25 2 fifteenths , plus , 3 twenty fifths
66. 7 24 − 5 36 7 twenty fourths , minus , 5 thirty sixths
67. 11 12 − 7 45 11 over 12 , minus , 7 forty fifths

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