NAME __________________
SOL Review Packet #2
25
This is due in 2 classes! It will be graded on accuracy. Clearly write your
final answer in the blank space provided. You must show work for all
problems. This can include the mathematical work or an explanation of
how you determined your answer. (1 point each)
NO EXPLANATION / WORK = NO FULL CREDIT!!!
_______1. Which expression is equivalent to 20 x y
16
25
for positive x and y
values?
4 5
A. 2 x y 5
4 5
B. 5 x y 2
C. 2 x 8 y12 5 y
D. 5x 8 y12 2 y
_______2. Which expression is equivalent to
A.
2w 4
B.
2w 4
3
6
C.
2 w11
3
3w 2
D.
2 w11
3
6w 2
3
 19
2
 13
C. x =
2
B. x =
D. x = - 1
6w 7  3 4w 5
3
_______3. What is the solution of
A. x = - 26
3
7  2x  5  8 ?
_______4. When completely factored,
2 x 2  2 x  24
is equivalent to
A. 2 (x – 3)(x + 4)
B. 2 (x + 3)(x – 4)
C. 2 (x + 6)(x – 2)
D. (2x – 3) (x + 8)
_______5. For non-zero denominators, which expression is equivalent to
5 x  15
?
( x  3)( x  3)
 10
x9
5
B.
x3
10
C.
9
5
D.
x3
A.
_______6. Assuming the denominators do NOT equal zero, which expression is equivalent to
12
1

x 1
x4
13x  47
A. ( x  1)( x  4)
13
B. ( x  1)( x  4)
13 x  47
C. 2 x  3
13
D. 2 x  3
_______7. Given f ( x)  4 x  15 and
4
g ( x)  2 x  11 , What is the value of g ( f ( x)) ?
A.
8 x 5  44 x 4  30 x  165
B.
8 x 5  165
C.
8x 4  4
D.
8 x 4  19
_______8. Which is a solution set of
A.
B.
C.
D.
{
{
{
{
1
x5  3
2
16 }
-16, 16 }
-1, 11 }
4, 16 }
________9. Which expression is equivalent to
7x
A. 4
7x
B. 8
7x
16 ?
C.
7x
4
D.
7x
8
_______10. What is the solution set for the following equation? 3 x  3  15
 34 

3
 41 
B.  
3
A. 
C.
24
D.
28
_______11. Which is the apparent solution set of the system of equations
graphed on the following grid?
A.
B.
C.
D.
{
{
{
{
(0, - 5), (0, 5) }
(- 3, 4), (- 2, - 2) }
(- 4, 3), (- 1, 0) }
(- 5, 0), (-3.3, 0), (- 1, 0) }
12. Identify the factors of the polynomial 32 x  108  0. Circle ALL that apply.
3
(2 x  3)
4
(8 x  12)
16
(4 x 2  6 x  9)
4x
(16 x 2  24 x  36)
(2 x  3)
_______13. This graph best represents the solution to which inequality?
A.
x  11  4
B. x  11  4
C. 2 x  7  15
D. 2 x  7  15
14. Identify all the points where the graph of h( x)  ( x  1)( x  8 x  16) intersects the
2
x-axis. Circle ALL that apply.
(-4, 0)
(1, 0)
(-2, 0)
(4, 0)
(-1, 0)
(16, 0)
_______15. What are the apparent roots of the equation graphed on the
coordinate grid?
A. { 0, 3 }
1
B.  , 4
2

3 1
C.  , 
 2
2
D. { - 2, 1 }
_______16.Which of the following is the inverse of g ( x) 
1
A. g ( x)  x  2
1
B. g ( x)  3x  2
1
3
1
3
C. g ( x)  x  2
D. g ( x)  x  2
3
x2
________17. What is the inverse of f ( x ) 
_______18. Given f ( x)  x
3
1
x2
5
and g ( x)  x  1 find f ( g (3))  g ( f (2))
_______19. What is the solution set for this equation? ( x  5)  0
2
A. {25}
B.
{5}
C.
{-5}
D.
{-5, 5}
_______20. What is a solution to the following equation?
A.
B.
C.
D.
x
x
x
x
=
=
=
=
-4
-3
-2
-1
_______21. f(x) = x3 + 4x2 + x – 6 is graphed to the right.
Which is the factored form of f(x)?
A. f(x) = (x – 3)(x – 2)(x + 1)
B. f(x) = x(2x + 5)(x – 1 )
x  4  2  x
C. f(x) = x(x + 3)(x + 2)
D. f(x) = (x – 1)(x + 2)(x + 3)
3
22. What value of x makes 2 x  5  3 true?
#23 & 24: Identify the following based on the graph to the right.
y

23. Function Type: __________________

Equation: y = ___________________


24. Domain ______________

Range ______________
x








25. Determine the end behavior of the graph below.
y


x












As x approaches negative infinity, f(x) approaches __________________
As x approaches positive infinity, f(x) approaches __________________


