NAME __________________
SOL Review Packet #3
This is due _______________! 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 CREDIT!!!
25
_______1. Which lists four consecutive terms of an arithmetic sequence?
A. 3, 10, 17, 24
B. 1, 4, 9, 16
C. 1, 2, 4, 8
D. -5, 6, 10, 13
n 1
_______2. Using an  a1r
, what is the 10th term in this geometric sequence?
0.2, 1, 5, 25, 125, …
A. 78,125
B. 390,625
C. 1,953,125
D. 9,765,625
( n 1)
_______3. What is the a5 in the sequence defined as follows? an  5  2
A. a5  160
B. a5  80
C. a5  40
D. a5  10
_______________4.Identify all the root(s) of x2 – 11x + 30 = 0?
________5. What is a4?
_______6. An auditorium has 80 rows of seats and the number of seats per
row increases at a constant rate. If there are 32 seats in the 8th row, and 68
seats in the 20th row, how many seats are in the last row?
7. Identify the following based on the equation and its matching graph.

y

Rational:
( x 2  4)
f ( x)  2
( x  9)





x

Horizontal Asymptote(s): _________












Vertical Asymptote (s): __________














8. Identify the following based on the cubic function shown to the right.
y






Double Zero at ________



Decreasing on the interval ____________


16 25
_______9. Which expression is equivalent to 20 x y for positive x and y
values?
A. 2 x 4 y 5 5
B. 5 x 4 y 5 2
C. 2 x 8 y12 5 y
D. 5x 8 y12 2 y
_______10. 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
3
6w 7  3 4w 5
3
4
3
_______11. What is the complete factorization of 18w  12w  6 x ?
A.
B.
C.
D.
6 x 3 (3x 2)
6 x (3x 3  2 x 2 )
6 x (3x  1)( x  1)
6 x (3x 3  2 x 2  1)


2
_______12. For which value of b is x  bx  60 factorable over the set of
integers?
A.
B.
C.
D.
61
23
–7
– 16
_______13. If no denominator equals zero, which expression is equivalent to
25  4 x 2
6x 2  2x  4

?
6 x 2  9 x  15 2 x 2  x  10
A. – 2
B. 2
C.
 2 (3 x  2 )
3( x  2)
D.
2(3 x  2)
3( x  2)
_______14. What is the solution of
A. x = - 26
 19
2
 13
C. x =
2
B. x =
D. x = - 1
7  2x  5  8 ?
Remember … Each polynomial
should be in standard form prior
to factoring!
_______15. 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) }
_______16. 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
_______17. 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 }
_______18. What is the solution set for the following system of equations?
 y  4x  2

2
y  x  x  8
A.
B.
C.
D.
{
{
{
{
(
(
(
(
-5,
-1,
-6,
-2,
-18), (2, 10) }
-2), (6, 26) }
-22), (1, 6) }
-6), (5, 22) }
_______19. The volume of a cone (V) varies jointly with its height (h) and the
square of its radius (r). If k is the constant of proportionality, which of the
following equations represents the correct relationship between volume, radius,
and height?
A. V  k (rh) 2
kr 2
B. V 
h
k
C. V  2
r h
D. V  kr 2 h
_______20. Which number is a zero of f ( x)  7 x 2  16 x  48 ?
A. 12
B. 4
12
C.
7
4
D.
7
_______21. Which function is the inverse of g ( x)  x 3  11 ?
1
A. g
( x)  3 x  11
B. g
1
( x)  3 x  11
C. g
1
( x)  x  3 11
D. g
1
( x)  x  3 11
_______22. Which expression is equivalent to
3n
5

if no denominator
n3 n4
equals zero?
A.
B.
3n 2  7n  3
(n  3)(n  4)
3n 2  7n  15
(n  3)( n  4)
3n 2  5n  3
C.
(n  3)( n  4)
D.
3n 2  5n  15
(n  3)( n  4)
_______23. Which is a solution for
A.
B.
C.
D.
w
w
w
w
=
=
=
=
8
16
77
85
4
w  4  11  14 ?
_______24. If y varies inversely as the square root of x, what is the constant of
proportionality if y = 16 when x = 4?
A.
B.
C.
D.
4
8
32
64
_______25. Which is a solution of 2 x  7  1  9 ?
17
2
1
B. x =
2
1
C. x =
2
3
D. x =
2
A.
x=