PART  1

1.       If line  l  has a slope of  , then what is the slope of a  line perpen-dicular to  l?  

2.       What is the equation of the line whose graph has a slope of    and a y-intercept of  ─4?  Write in slope-intercept form and standard form.

 

3.       What is the equation of the line whose graph passes through the origin and has a slope of  ?

         

4.       What is the equation of the line that passes through the points

( 2 , -3) and (-3 , 7)?

         

5.       Which of the following represents the slope-intercept form of a linear      equation?

 

      a.   b.   c.   d.

 

6.       Graph the equation of the line: .

7.       Describe the solution of the inequality  x ─2 £ 5.

         

8.       Solve the inequality for x:  ?

 

9.       On a number line, graph the solution set of         .

 

10.     Write an inequality that represents the statement x is greater than ­-4 and is no more than 4?”

 

11.     Write the ordered pair that is NOT a solution of  3x - 2y < 4?

          a.  (0,1)       b. (2,1)        c. (3,3)        d. (-1, -2)

12.     On a number line, graph the solution of  5x - 2 ³ 3 or  2x + 9 < 3?

 

13.     Use the substitution method to determine the solution of this system

          of linear equations:        2x +3y = 8

                                                y = 2x

 

14.     Solve this system of equations:  2x + 2y = 12

                                                           x - 2y = 0

 

15.     Solve this system of equations:

 

16.     The ordered pair ( 7, -7) is a solution of which system of equations?

          a.       3x + 2y = 7                    b.        x  - 2y = 21      

                     x  - y = 14                                     

 

          c.       7x + 3y =18                  d.      2x + 3y = 4

                      x  + y = 0                              -x -3y = 14

 

17.     Given the linear system: x - 4y = -8

                                               -x + 4y = 16

          How many solutions does this system have?

 

SIMPLIFY EACH OF THE FOLLOWING:

18.    

 

19.     (x3y3)5

 

20.     ( 3y3x3 )2  •  ( 2y2x2 )3

 

21.   

 

22.    

 

23.    

           

24.    

25.    

 

26.    

 

27.     ( x - 2 ) ( x + 3 )

 

28.     ( 2n - 5 ) ( 3n + 2 )

 

29.     ( x + 4 )2

 

30.    

 

31.     Factor the expression .

 

32.     What is the product of these two binomial factors  ?

 

33.     What values of  x solve this equation  ?

 

34.     What values of n solve this equation    n2 + 3n - 10  =  0?

 

35.     Factor the following expression: .

                                                                            

36.     Factor the following expression: .                                                                                                                                 

37.     Factor the following expression: .

                                     

38.     Factor the following expression completely:.       

         

39.     What values of  x solve this equation: .   

 

40.     What is -5 squared?

 

41.      Identify the leading coefficient of the following:                                                               

.

                              
Part  2

DIRECTIONS:  Choose any 6 of the following problems.

 

1.         Simplify: 

 

 

2.       FACTOR:  

 

3.       Solve:                    4.  Solve

 

5.  Graph:     3x -y £  -4                

                                               

 

Graph each system of  equations.  Then determine whether the system has one solution, no solution, or infinitely many solutions.  If the system has one solution, name it.

6.                                               7.                                          

 

                              

                                                                  

solution?______________                                solution?______________

 

 

8.     A girl scout troop went to an amusement park and purchased tickets for the rides.  Adult tickets cost $7.00 for each ride; children’s tickets cost $4.50 for each ride.  If they spent $219.00 on 42 tickets, how many adult tickets did they purchase and how many children’s tickets did they purchase?

 

Let x = number of adult tickets purchased; let y = number of children’s tickets purchased and use a system of two linear equations to solve this problem.

 

 

9.  A car rental company charges a flat fee of $31 and an additional $0.13 per

     mile to rent a mid-size car.  Write an equation to model the total charge,

     “y” (in dollars) in terms of “x,” the number of miles driven.

 

    Using this equation, determine the total cost after traveling 520 miles.