Standardized Test Prep

SAT/ACT

80. Which expression is NOT equivalent to 16 r 2 6 ? the sixth , root of 16 , r squared end root , . question mark
    1. ( 16 r 2 ) 1 6 open 16 , r squared , close super 1 sixth end super
    2. 4 r 1 3 4 , r super 1 third end super
    3. ( 4 r ) 1 3 open 4 r close super 1 third end super
    4. 4 r 3 cube root of 4 r end root ,
81. Assume that there are no more turning points beyond those shown. Which graph CANNOT be the graph of a fourth degree polynomial?
    6. 
    7. 
    8. 
    9. 
82. A florist is arranging a bouquet of daisies and tulips. He wants twice as many daisies as tulips in the bouquet. If the bouquet contains 24 flowers, how many daisies are in the bouquet?
    1. 8 daisies
    2. 12 daisies
    3. 16 daisies
    4. 24 daisies

Short Response

83. Use the properties of logarithms to write log 18 in four different ways. Name each property you use.

Mixed Review

See Lesson 7-3.

Write each equation in logarithmic form.

84. 49 = 7 2 49 equals , 7 squared
85. 1 4 = 8 − 2 3 1 fourth , equals . 8 super negative , 2 thirds end super
86. 5 − 3 = 1 125 5 super negative 3 end super , equals , 1 over 125

See Lesson 6-5.

Solve. Check for extraneous solutions.

87. y 4 3 = 16 cube root of y to the fourth end root , , equals 16
88. 7 x 3 − 4 = 0 cube root of 7 x end root , , minus 4 equals 0
89. 2 w − 1 = w + 2 2 , square root of w minus 1 end root , equals , square root of w plus 2 end root

See Lesson 5-5.

Write a polynomial function with rational coefficients and the given roots.

90. 3 , − 5 square root of 3 comma negative 5
91. − i , 4 i negative i comma , 4 to the i
92. − 7 , 1 + 2 i negative square root of 7 comma 1 plus , 2 to the i

Get Ready! To prepare for Lesson 7-5, do Exercises 93-95.

See Lesson 7-3.

Evaluate each logarithm.

93. log 12 144 log base 12 . 144
94. log 4 64 log base 4 , 64
95. log 64 4 log base 64 , 4

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