1.) Solve for x by using the quadratic formula:       

 

2.) Simplify:     

 

3.) Simplify:                 

 

 

4.) Answer TRUE or FALSE for each (explain your answer!):

            (a)    The line x = 5 has slope 5.                        (b)    

 

5.) Graph the inequality:      < 10

 

6.) Solve for x:       

 

7.) Subtract and simplify:     

 

8.)        (a) If ,  find .

            (b) Is the following a function?:          { (-3, 1) , (-2, 1) , (0, 3), (1, 9) }

                        If so, state the domain and the range.

 

9.) Factor completely:

            (a)                                               (b)         

 

10.) A rectangle has a perimeter of 64 inches.

       Find the dimensions of the rectangle if the length is 8 inches more than the width.

 

11.) Simplify. Write your answers without negative exponents.

       Assume all variables are positive.

            (a)                                                     (b)   

 

12.) Solve for x:      

 

13.) Multiply and simplify:

            (a)                                     (b)  

 

14.) Divide:     

 

 

15.) Consider the equation of the line  2x – 4y – 8 = 0:

            (a) Find the slope.

            (b) Find the y-intercept. Write your answer as an ordered pair.

(c) Graph the line. Label two points.

 

16.) Perform the indicated operation and simplify, if possible.

            (a)                              (b)

 

17.) Solve the inequality:           ≥

 

18.) For the rational expression:  

 

            (a) Find the values of x for which the expression is undefined.

            (b) Simplify completely.

 

19.) A straight line passes through the points (-4, -1) and (-3, 7).

            (a) Find the slope of the line.

            (b) Find the equation of the line in slope-intercept form.

 

20.) Solve for x:         

 

21.) Perform the indicated operation and simplify, if possible.

        Be sure to rationalize the denominator if necessary.

        Assume all variables are positive.

            (a)                                                    (b)     

 

22.) Solve the system. If there is no solution or an infinite number of solutions, state this.

           

 

23.) Solve the system. If there is no solution or an infinite number of solutions, state this.

           

 

 

 

 

 

 

 

24.) Graph the parabola: .

       Clearly state the y-intercept, any x-intercept(s), and the vertex.

 

25.)  Arthur goes to the bank to deposit some cash.

        He has 35 bills in all, some of which are $10-bills and some of which are $20-bills.

        How many of each does he have if the total deposit amounts to $420?

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ANSWERS

1.)                               2.)                                3.)       

 

4.)        both FALSE                 6.)        x = -1                           7.)       

 

8a.)      3                                  9a.)      (3x – 1)(2x + 3)           10.)      12 in by 20 in

8b.)      YES                             9b.)      3x(x – 4)(x + 2)

            D: -3,-2,0,1

            R: 1, 3, 9

 

11a.)                                12.)      x = 4 or -2                   13a.)   

11b.)                                                                               13b.)   

 

14.)               15a.)                             16a.)   

                                                15b.)    (0,-2)                           16b.)   

 

17.)      x ≤ -3                           18a.)    x = 7 or -3                   19a.)   

                                                18b.)                              19b.)    y = 8x + 31

 

20.)      x = 3                            21a.)                        22.)      infinite solutions

                                                21b.)   

 

23.)      (-1,-2)                          24.)      y-int (0,3)                     25.)      28 tens, 7 twenties

                                                            x-int (3,0) and (-1,0)

                                                            vertex (1,4)

                                                            opens downward