SOL Solving Review
Algebra 2
Please answer the following questions. Show your work and circle your answer.
1. Which is a zero of the
2. Which is the solution to
3. What is the solution set for
function f(x) = 3x + 48?
x 2  6x  9 ?
4x  3  9 ?
A) 48
B) 16
C) -16
D) - 48
F) x = 3 or x =  23
G) x = 3 or x = -3
H) x = 3 or x = 23
J) x = 3 or x =  23
4. Which of the following
5. A pendulum L inches in
inequalities has the solution
length takes t seconds to
indicated on the number line?
make one full cycle according
A)
B)
C)
D)
6.
{ 3  2 3 }
{ 3  3 2 }
{ 3 2 3 }
{ 3 3 2 }
What are the solutions to
y 2 10x  39  0 ?
F)
G)
H)
J)
y = 3 or y = -13
y = 3 or y = 13
y = -3 or y = -13
y = -3 or y = 13
L
.
384

To the nearest tenth, how
long is the pendulum that
takes 1.7 sec to complete
one full cycle?
to the equation t  2
-6
-4
-2
0
2
4
6
F) |x| > 3
G) |x| < 3
H) |x + 4| > 1
J) |x + 2| < 1
7. Which graph shows a solution
to the following system?
y  2
x4
x y3
R
|S
|T
A)
A)
B)
C)
D)
1.91
28.11
449.77
2738.22
8. This is a portion of the graph
of a system of equations.
Which is most likely the
solution set for the system?
9. What are the solutions to
x 2  6x  12  0 ?
B)
A) x = 4, x = 2
C)
D)
B) x = 6, x = 0
F) {(-3, 4), (1, 2)}
G) {(-3, 4), (-1, 2)}
H) {(-3, 4), (2, -1)}
J) {(-3, 4), (2, 1)}
C) x  3  3
D) x  3  i 3
10. Which is the solution set for
y  4  3 4y 1 ?
11. What is the solution set for
the following system of
equations?
R
|Sx  4 y  20
|Tx  y  25
2
12. What is the for x in the
6 x  5 3x  1

7?
equation
4
3
2
2
2
3
5
73
G)
30
101
H)
33
19
J)
6
F)
F) -7
G) 
1
7
1
11
J) 11
H)
13. What is the solution to
7x  3  5 ?
A) {(1,2 6 ),( 1,2 6 ),
(1,2 6 ),( 1,2 6 )}
B) {(-3, -4), (3, -4), (-3, 4), (3, 4)}
C) {(4, 3), (4, -3), (-4, 3), (-4, -3)}
D) {( 10 , 15 ),(  10 , 15 )}
14. Which number line shows
the solution to |x – 3| < 2?
F)
-6
A)
2
7
B)
2 2
7
C)
-6
-4
2
4
6
-2
0
2
4
A)
1
4
B)
4
5
C)
5
4
6
-6
-4
-2
0
2
4
6
-6
-4
-2
0
2
4
6
J)
D) 5
17. What is the solution to
x 8
 6?
2
18. The height of a right triangle
is 3 more than twice its base. If
the area of the triangle is 27
square units, what is its height?
3  219
units
4
G) 3 units
9
H)
units
2
J) 12 units
F)
G) x < -3 or x > 7
J) -3 < x < 7
0
H)
F) x = -3 or x = 7
H) x < -7 or x > 3
-2
G)
4
7
7
D)
4
16. Which is the solution to
3x  6  15 ?
-4
15. What is the solution to
x
5
 ?
4x  3 8
A)
B)
C)
D)
9
13
64
80