SOL Homework #3
Name:
Choose the correct answer.
1. Which is an equivalent form of the following expression?
6. When completely factored,
2x2 – 16x + 32
2 9
A –6
B –6i
C 5i
D 6i
2. What is the factored form of the following expression?
9h2 + 24h + 16
F 3(h + 1)2
G (3h – 4)2
H (4h + 3)2
J (3h + 4)2
is equivalent to –
F 2(x – 4)(x + 4)
G 2(x – 2)(x – 8)
H 2(x + 8)(x + 2)
J 2(x – 4)2
7. Which is an equivalent form of the following
expression?
64
A 8i
B –8i
C 8
D –8
3. Which is a simplified form of the following expression?
8. Which is not an equivalent form of the following
expression?
3 24 2 2
A 6 2
B 6 6
C 7 2
1
D 6 2
4. Which property is illustrated by the following statement?
 4 2
9
 
F
4
9
4
G
9
H
4
9
J
2
3
1
4  1
4
F commutative property of multiplication
9. Which is an equivalent form of the following
expression?
G distributive property
100  4
H multiplicative identity property
A –12i
B –8
C 8i
J multiplicative inverse property
5. Assuming k  0, which expression is equivalent to
the following complex fraction?
k
6
B
F 2, 5, 9, 14, …
G 100, 50, 12.5, 1.6, …
2k
5
6k
10
A
10. Which is an arithmetic sequence?
H 3, 10, 17, 24, …
1 1
J 2, 1,  ,  ,...
2 4
2
3
C
3
2
D
6k 2
25
D –8i
11. If defined, which is an equivalent form of this
expression?
15. The following is a graph of a function of x.
3
5yx 4

3
10xy 4
A
x3
2xy 3
B
y3 x3
2
C
x3
2y 3
D
9
10xy 5
12. Which equation represents a situation in which z
varies jointly as x and y?
F z
x
y
G z
ky
x
H z
xk
y
J z = kxy
13. Which shows four consecutive terms of a geometric
sequence?
Which appears to be a turning point?
A (2, 0)
A 1, 5, 25, 125, …
B (0, –8)
B 10, 20, 30, 40, …
C (–1, –3)
C 50, 100, 150, 200, …
D (–2, 0)
D 1, –1, 2, –2, …
14. Which function of x appears to have two distinct real
zeros?
16. The formula for the sum of an infinite geometric
series follows.
For r  1,S 
F
G
What is the sum of the following infinite series?
2 1 
F 3
G 4
H 5
H
J
a1
1r
J 6
1 1 1
   ...
2 4 8
17.
21. A college professor was matching raw test scores
to averaged scores within a class. The table shows the
match for four students in the class.
Based on a line of best fit for the data, which is the best
prediction for the averaged score that matches a raw
score of 70?
Which equation best defines the function graphed above?
A y  x 2
C y  x2
A 83
B 85
C 87
D 89
B y  x  2
D y = –x + 2
22. What is the domain of the function defined by the
following equation?
f x 
1
x
18. Which of the following functions of x has the greatest
number of roots in the complex number system?
F {all real numbers}
F y = x 3 + x2 – 1
G y = x2 – 4x + 2
G {all non-zero real numbers}
H y = x + x2
J y = –x + 3
H {all real numbers greater than zero}
19. The function defined by f(x) = 3(5x) is –
A an absolute value function
B an exponential function
C a linear function
D a quadratic function
J {all real numbers less than zero}
23. Each statement describes a transformation of the
graph of y = x2. Which statement correctly describes
the graph of y = (x – 5)2 + 6?
A it is the graph of y = x2 translated 6 units down and
5 units to the right
B it is the graph of y = x2 translated 6 units down and
5 units to the left
20. A farmer pumps water from an irrigation well to water
his fields. The time it takes to water the field varies inversely
with the rate at which the pump operates. It takes 20 hours
to water the field when the pumping rate is 600 gallons per
minute. If he adjusts the pump so that it pumps at a rate of
400 gallons per minute, how longs will it take to water the
field?
F 12.5 hours
G 15 hours
H 30 hours
J 40 hours
C it is the graph of y = x2 translated 6 units up and
5 units to the right
D it is the graph of y = x2 translated 6 units up and
5 units to the left
24. A cubic function has turning points at (–1, 2) and (1, –2). Which could be its graph?
F
G
H
J