Regents Practice TEST 1
Interactive Version - Long Response

Algebra 2 Trigonometry Level

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Directions:  These are the Part II, III, and IV long response questions.  Have paper ready to work out the problems, then check your answers by clicking the ANSWER button.  You may use your graphing calculator.

Part II:

28   Express   with a rational denominator, in simplest radical form.

 

29  Write an equation of the circle shown in the graph below.
                             
30  Solve for x 
                              
 
31  Find, to the nearest minute, the angle whose measure is 3.45 radians.

                              

 
32  Matt places $1,200 in an investment account earning an annual rate of 6.5%, compounded continuously. Using the formula V = Pert, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, that Matt will have in the account after 10 years.                                 
33  If θ is an angle in standard position and its terminal side passes through
      the point (−3,2), find the exact value of csc θ.
 
34  Find the first four terms of the recursive sequence defined below.

                                                                      

 
35   A committee of 5 members is to be randomly selected from a group of 9 teachers and 20 students.  Determine how many different committees can be formed if 2 members must be teachers and 3 members must be students.

                              

 

Part III:

36   Solve 2x212x + 4 = 0 by completing the square, expressing the result
       in simplest radical form.

 

37   Solve the equation 8x3 + 4x2 − 18x − 9 = 0 algebraically for all values
       of x.


                             

 

 38  The table below shows the results of an experiment involving the growth
       of bacteria.

     
Write a power regression equation for this set of data, rounding all values to three decimal places.

Using this equation, predict the bacteria’s growth, to the nearest integer, after 15 minutes.

 

Part IV:

39    Two forces of 25 newtons and 85 newtons acting on a body form an angle of 55°.
Find the magnitude of the resultant force, to the nearest hundredth of a newton.

Find the measure, to the nearest degree, of the angle formed between the resultant and the larger force.

 

 



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