Name:  _______________________________________________________________Period  _________________   Show  all  your  work  for  all  calculations.        You  may  use  your  calculator.       1     Jim is going to flip a coin. If the result is heads, he wins $4.00. If the   result is tails, he loses $7.00. If he flips the coin 8 times, how much ________________________   should he win or lose?         Ms. Hornsby likes to make her tests a game of chance. She routinely 2     rolls dice or flips coins to help her create problems. Recently, she   started with the trinomial 𝑥 ! + 𝑘𝑥 + 4  and rolled a die to determine the value of k. What is the probability that the trinomial will be factorable? ________________________   Express your answer as a fraction.

  3  

4.  

    5  

  Express  your  answer  in  simplest  radical  form.               Solve  for  𝜃.    Round  your  answer  to  the  nearest  tenth.  

        Solve  for  x  and  y.  Round  to  the   nearest  hundredths.          

    X  =  ___________________  

    𝜃 =   __________________  

  X  =    _________________       Y  =  __________________  

6  

Find  the  value  of  a  in  the  diagram  at  right.                      

    a  =  ___________________  

7  

Calculate the area of the shaded region. Express your answer in simplest radical form.

  Area  =  __________  

 

    8  

For each conditional statement below, accept it as true. Then write the converse of each statement and state whether the converse is True (T) or False (F). a. If it is midnight, you can see the moon. Converse: _____________________________________________________ b. If x>y, then 𝑥 >   𝑦 Converse: ____________________________________________________ c. If two angles are vertical angles, then they are congruent. Converse: _____________________________________________________

  Is  the  Converse   True  or  False?             a.    _______________           b.    _______________           c.    _______________            

9  

Prove  that  the  triangles  are  congruent  by  completing  the  following   flowchart.  Do  not  add  more  bubbles  to  the  flowchart.        

   

∠𝑃𝐻𝐼  &  ∠𝑃𝐻𝑂     are  right   angles.   Given  

    1.            

1.         2.         3.         4.  

2.  

 

Given         3.________________  

∆𝐻𝐼𝑃   ≅ ∆𝐻𝑂𝑃   4.  __________________   10  

   

    Note:  Reason  #3  has  been  filled  in  for  you.     11   In  Problem  10  above,  what  given  information  is  not   needed  to  prove  the  triangles  congruent?    

 

1.         2.           3.  Angles  that  are   supplementary  to   congruent  angles  are   congruent.     4.             5.       ________________________  

12  

a.    _________≅_________            _________≅__________         b.    ________≅__________            _________≅__________      

13  

14  

  Use the information given to solve for x. If a problem is not possible based on the information given, write ‘not possible.’

         a.                                                        b.                                                                              c.                                    

           

c.    _________≅_________            _________≅__________         a.  ___________________     b.  ___________________     c.  ___________________     d.  ___________________           a.  __________________       b.___________________       c.____________________