Intermediate Algebra

Final Examination

SPRING  2001

 

1.                   A  student earns grades of 77, 85, 83,  and 87 on four major exams. What is his average on the exams ?

2.                   Solve:

3.                   Determine whether perimeter, area or volume would be used to determine the measure of the indicated quantity.

a.                        water for a swimming pool

b.                        wallpaper to cover two walls of a bedroom.

c.                        wallpaper border for a kitchen

4.                   Simplify the expression: 

5.                   Let x represent a certain number. Denote a number that is:

a.                  twice as large as x,

b.                  5 more than 3 times x,

c.                   4 less than

6.                   Graph y =   . Label axes completely.

7.                   The campus bookstore purchases books at the wholesale price from a textbook dealer  and marks the cost up by 40% before selling to the student.

a.                  Write an equation to represent the cost y (to the student) of a textbook purchased for x. dollars.

b.                  Determine the wholesale price of a textbook that sells for $46.20. 

8.                   Write an equation of the line that has a slope  and passing through .     

9.                   Find and label the x- and y-intercepts  of  2x + 5y = 10.

10.               Are the lines represented by 3x + 2y = 6 and 2x - 3y = 6 perpendicular ? Explain.

11.               Solve for x: 

12.               Solve the System:            3x - 4y = 9

    x + 2y =  8

13.                A standard rectangular highway billboard sign has a perimeter of 124 ft. The length is 6 ft more than three times the width. Find the dimensions.

14.                Find the domain        

15.                 Find g(2) and h(3) given  and 

16.  Solve   and graph the solution set.

17.   For each point, name the quadrant in which it lies or the axis on which it lies.

a.)        ( -3 , -2 )                                    b)         ( 0 , 3.14 )                     c)         ( 6 , -3 )

18.        Solve |4 - 3x| £13

19.  Simplify the following expression. Write the following answer without using negative exponents.

                                            

20.  Change    a.  8.706 x 105   and     b.  1.1 x 10-3    to standard notation.

21.        Multiply  (3x + 2)(4x +9)

22.  Factor by grouping:    

23.  Factor: 

24.                Multiply: 

25.                Divide:    .

26. Solve: 

27.  Solve:  .

28.  Solve:       

29.  Evaluate each expression:

a)                                                          b)                                

30.        Simplify the radical expression:         

31.        Simplify the radical expression:         

32.        Add or subtract. Simplify by collecting like radical terms, if possible.

33.        Multiply and simplify: