Name: ________________________ Class: ___________________ Date: __________
ID: A
Algebra 2B Final Practice 2
Short Answer
1. Write the expanded expression equivalent to
9
log 5 4 ?
3x
5. What function best represents the graph below?
2
2. Graph the function f x   x  1  x  2  x  3  .


6. When 2x  3 and  3x 2  3x  4  are multiplied


2
and simplified, what is the x term?
7. f x   3x  7
3. Write the set of all possible rational roots of a
function of the form
p x   4x 6  bx 5  cx 4  dx 3  ex 2  fx  2
g x   x 2  2x  3
 f  g  3 ?


4. What is the value of the 4th number in the 12th row
of Pascals Triangle?
8. If f x  
f 1 x  ?
1
3x  5
, then what is the inverse function
4
Name: ________________________
ID: A
9. Write the logarithmic equation equivalent to
e 10  x.
15. Graph using transformations.
2
f x   2 x  3   2
10. Convert the function f x    4x 2  8x  8 into
vertex form.
11. Give the condesed expression equivalent to
2 log 7 3  3 log 7 x  4 log 7 y .
12. Write a quadratic equation in standard form that
2
has solutions of x   and x  3 .
3
16. What piecewise-defined function is graphed
below?
13. Solve.
5x 2  4x  9  0
14. Find the x-intercepts of the function
f x   2x 5  5x 4  12x 3 .
17. Factor 64x 2  25 completely.
2
Name: ________________________
ID: A
18. Which of the following could be the equation of
the function graphed below?
21. Write the function with leading coefficient of 1 and
lowest degree possible that has real coefficients,
with zeros of -2, 4, and 4i.
22. Solve the equation 2  7 x  3  6  44. Round your
answer to the nearest thousandth.
23. g x   3x  1
h x   x 2  2x
a)
b)
c)
d)
f x 
f x 
f x 
f x 
g  h 2  ?
 x 4  x 3  7x 2  x  6
 x 4  x 3  7x 2  x  6
 x 5  x 4  x 3  7x 2  x  6
 x 5  x 4  x 3  7x 2  x  6
1 then 3  i 3  5i  ?
24. If i 
19. Factor completely.
9x 3  18x 2  x  2
6
25. a  b   ?
20. What is the complete solution for the equation
below?
5 2x  3  15
26. Is the function graphed below even, odd or neither?
.
3
Name: ________________________
ID: A
30. What linear inequality is graphed below?
 1  x  3
 2 below.
27. Graph the function f x    
2
.
28. What is the remainder when
x 5  x 4  24x 3  12x 2  15x  1 is divided by x  4 ?
29. Solve the system below.
 x  y  4z  1


 3x  4y  3z  4

 4x  2y  2z  14

4
ID: A
Algebra 2B Final Practice 2
Answer Section
SHORT ANSWER
1. log 5 9  log 5 3  4 log 5 x
2.


 1 1

3.   , , 1, 2 
4
2


4. 165
5. f x   3 x   2
6. 3x 2
7. 14
8. f 1 x  
4x  5
4
5
or f 1 x    x 
3
3
3
9. ln x  10
2
10. f x    4 x  1   4
11. log 7
9x 3
y4
12. 3x 2  7x  6  0


 2  i 41 2  i 41 
,
13. 


5
5



3
14. x  0, , 4
2
1
ID: A
15.
16.
17.
18.
19.
20.
 3
if x  2


f x    x  1 if  2  x  1

 2x  4 if x  1

or
 1
  x  3 if x  2
 2

f x    2x if  2  x  1


 x  5 if x  1


8x  5 8x  5
b
3x  1 3x  1 x  2 
x  0, x  3
f x   x 4  2x 3  8x 2  32x  128
x  1.346
25
14  12i
25. a 6  6a 5 b  15a 4 b 2  20a 3 b 3  15a 2 b 4  6ab 5  b 6
26. Even
21.
22.
23.
24.
2
ID: A
27.
28.
29.
-3
 2,  1, 2 


30. y 
2
x3
5
3