Review Sheets for Algebra II
First Semester Examination

 

Sample Questions for the Exam:

1. Solve  the equation    4x2 = 5x + 1  and leave the answer in simplest 
     radical form.    

2.  What is the slope of the graph of the inverse of the equation   y = 2x – 1 ?
     (A)  1       (B)  ½       (C)  - ½        (D)  -1

3.  Find the two binomial factors of   ax + bx + ay + by

4. If  x  varies directly as y, and if x = 6 when y = 1/3 , find the value of x when  y = 3.

5.  Write the equation of the line which is perpendicular to  y = -4x + 3 and passes 
       through the origin.

6.  Solve for x:   6x2 – 11x + 5 = 0

7.  The inverse of the function   y = x2  is ___________

8.  Factor completely:   3x3 – 12x

9. If the graphs of  y + 3x = 6   and  y – 2x = k  intersect at a point where x = 2,  what is 
    the value of k?

10. Which fraction is equivalent to  .7171717…?

11.  What is the equation for the inverse of the function y= -4x + 2?

12. Write a quadratic equation which has  x = -6 and x = -7 for its solutions.

13.  Use the discriminant to determine the nature of the roots of   2x2 – 5x + 1 = 0.

14.  Solve for x: (x-3)2 +(x-3)- 2 = 0

15.  Solve for x:  x4 -12x2 + 32 = 0

16.  Write a function of the form g(x) = (x - h)2 + k  whose graph represents a 
        translation of the graph  of  f(x) = x2 three units to the left and six units down.

17.  Determine the vertex and axis of symmetry for the parabola   f(x) = x2 - 4x + 5.

18.  see sheet
	
19.  see sheet

20.  If f(x) = 2x – 7  and  g(x) = -3x2 ,  Evaluate the function f(g(x)).

21.  see sheet  

22.  Which of the following is not a function?
			(A)   {(1, 2), (-2, 2), (3, 3)}
			(B)   {(1, 2), (-2, 6), (3, 3)}
			(C)   {(2, 2), (3, 3), (4, 3)}
			(D)   {(1, 3), (4, 4), (4, 6)}

23.  see sheet     

24.  Given  f(x) = -2x  and  g(x) = 2x – 6,    Determine  (f – g )(x)  

25.  Which is the solution of  x – 1 <=  3x + 17 ?

26.  The additive identity is ____

27.  The multiplicative inverse of 8y  is ____

28.  What property is illustrated by       6 ( 8 + y) = (8 + y) 6    ?

29.  What property is illustrated by        6+ (8 + y) = (6 + 8) + y  ?

30.  see sheet