NAME __________________
SOL Review Packet #1
25
This is due NEXT CLASS! 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. (#1-23: 1 point each; #24: 2 points)
NO EXPLANATION / WORK = NO FULL CREDIT!!!
_______1. Given f ( x)  3x  4 and g ( x)  x  7, what is the value of
g ( f (2))?
A.
B.
C.
D.
-23
-18
5
7
_______2. What is the simplified form of
6  21 ?
A. 3 14
B. 14 3
C. 21
D. 63
_______3. What complex number is equivalent to (7  9i )  (1  3i)?
A. 6  6i
B. 6 12i
C.
D.
8  6i
8 12i
_______4. Which is an equivalent form of the following?
1  5  4
A.  8i
B.  9i
C. i  10
D.  9
_______5. Which of the following is equivalent to
72  50
?
A. 11i
B. 11i
C. 11i 2
D. i 122
_______6. What are all the roots for the equation 3 w  14  6  21 ?
A.
B.
C.
D.
19
23
5 and 23
9 and 19
_______7. What is the solution to
A.
B.
C.
D.
x = -121
x = -1
x = 29
x = 129
3
x  4  5?
2
_______8. What is the solution set of the equation x  2 x  5  0?
A.
B.
C.
D.
{ -3, 1 }
{ -1, 3 }
{1 – 2i, 1 + 2i}
{ -1 – 2i, -1 + 2i}
_______9. Which of the following represent the solutions to 4 x  9  11?
A.
B.
C.
D.
x < -5 or x > ½
-5 < x < ½
x < - ½ or x > 5
–½ <x<5
2
_______10. What is the solution set of 2 x  7 x  5  0?
A.
1

5,  
2

B.
 5

  , 1
 2

C.
 5
1, 
 2
D.
1 
 , 5
2 
_______11. What is the solution set for
A.
B.
C.
D.
{ -28}
{ -124 }
{4}
{ }
k  64  8   2?
_______12. Which graph best represents the solutions to the given inequality
x 3  5
_______13. Where does the graph of f(x) = (3x – 5)(x + 9) cross the x-axis?
A.
5
 ,
3

0  and 9, 0

B.
5 
 , 0  and 3, 0
3 
C.
 5
 ,
 3
D.
 5 
 , 0  and 45, 0
 3 

0  and 9, 0

_______14. Which is an apparent zero of the function graphed?
A.
B.
C.
D.
- 9.25
–6
–3
0
_______15. Which is an apparent factor of the polynomial graphed?
A.
B.
C.
D.
(x–1)
(x–2)
( x – 2.5 )
(x+2)
_______16. What is the solution set to the following system of equations?
 y  2x  3

2
y


x
 5x  1

A. { ( -1, -5 ), ( 4, 5 ) }
B. { ( 1, 5 ), ( 4, 5 ) }
C. { ( -6, -15 ), ( 9, 15 ) }
D. { ( 1.5, 0 )}
_______17. What are the coordinates of the vertex of the graph of
y  5  ( x  2)2 ?
A. ( 2, -5 )
B. ( 2, 5 )
C. ( -2, 5 )
D. ( -2, -5 )
_______18. Assuming the domain is the set of all real numbers, what is the
range of the following function of x?
y  x2  2
A. All integers
B. All real numbers
C. All real numbers greater than or equal to 0
D. All real numbers greater than or equal to 2
_______19. Which is a zero of
A.
B.
C.
f ( x)  6 x 2  5 x  6
?
3
2
2
3
3
2
D. 6
_______20. What value of x is a solution to the equation below?
2x  2
3
4
A.
B.
C.
D.
12.5
25
50
70
3
________21. Which expression is equivalent to
A. 4n 2 p 9
3
9n 2
B. 4n 2 p 3
3
9
C. 24n 4 p13
3
D. 192n 2 p 9
3
576n 8 p 27
p
n2
_______22. Let g(x) = 2x2 – 5 and h(x) =
x
7
3
What is g(h(12))?
A.
B.
C.
D.
-23
13
27
283
_______23. What value of x makes 3 2 x  5  3 true?
24. Write the correct function in the blank next to its matching true statement.
g ( x)  x3  6 x 2  3x  10
g ( x)  x  1
s ( x)  x  5  2
f ( x)  x 2  7 x  10
________________________ 1 is a zero of the function
________________________ (x – 5) is a factor of this function
________________________-1 is a zero of the function
________________________-7 is an x-intercept for the graph of this function