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Algebra 2
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PASS Content 1.1a
1. Simplify the number.
 32
3
5
A 4
B -4
C 8
D
-8
Page 1
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Algebra 2
PASS Content 1.1b
2. Simplify the expression. Assume that all variables are positive.
2
3
1

4
1
2
1

2
x y
x y
F
1
6
1
4
1
3
1
8
7
6
3
4
x y
G x y
H x y
1
4
J x y
1
2
Page 2
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Algebra 2
PASS Content 1.2a
3. Which expression represents the quotient?
x

2
A
x2
B
x2
C
x4
D
x4

 6 x  8   x  4
Page 3
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Algebra 2
PASS Content 1.2b
4. Which expression is equivalent to
F
2 y 2  8 y  24 ?
2 y2  8y  8
 y  2
 y  6
 y  6
G  y  2

H
 y  6
 y  2
J
 y  2
 y  6
Page 4
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Algebra 2
PASS Content 1.3b
5. Simplify the expression
A
 6 15i
B
6 15i
C
9  23i
 6  5i 1  3i 
 D 9  23i
Page 5
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Algebra 2
PASS Content 1.3b
6. Simplify the expression  51  2i   3i3  4i 

F
7 i
G
7i
H
10  7i
J
10  7i
Page 6
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Algebra 2
PASS Content 2.1a
y
7. The graph of the equation
2
 x  2   3 is shown at the right.
5
4
3
2
What is the parent function of this graph?
1
–5
A
f x   x
–4
–3
–2
–1
–1
1
2
3
–2
–3
–4

B
f x   x
C
f x    x 2
D
f x   x 2
2
–5
Page 7
4
5
x
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Algebra 2
PASS Content 2.1c
8. Let f ( x)  x  2 and g ( x)  x 2 .
Find ( g  f )( 5) .
F
9
G -9
H
49
J
-49
Page 8
Algebra 2
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PASS
9.
Content 2.2b
3 x  7 y  15
5 x  2 y  4
What is the solution to this system of equations?
A (3,-2)
B (-3,2)
C (2,-3)

D (-2,3)
Page 9
Algebra 2
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PASS Content 2.3c
10. An electronics manufacturer wants to maximize profit. They
determined the function below would maximize their profit on
new MP3 players. Evaluate the function below to find the price
that would maximize their profit.
Px   
F
1
x  162  4
4
$4.00
G $12.00
H $16.00
J $20.00
Page 10
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Algebra 2
PASS
Content 2.4
11. What is the equation of a circle with center (-6,3) and a
diameter 6?

A
x  62   y  32  9
B
x  62   y  32  9
C
x  62   y  32  9
D
x  62   y  32  9
Page 11
Algebra 2
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PASS Content 2.5c
12. According to the U.S Census in 2000, the current growth rate is 1.24%.
The population was also approximately 281 million people. Suppose the
rate continues at 1.24%.
Which function best models U.S. population growth, in millions?
F 281 (1.0124) x
G 281(1.24) x
H 281(1.024) x

J
281(1.0124) x
Page 12
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Algebra 2


PASS Content 2.6a
13. Given that x  2 and x  3 are factors of this
polynomial, what is the third factor?
x  2 x  3x  6
3

B
x  3 
x  3 
C
x  3
D
x  3
A
2
Page 13
Algebra 2
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PASS Content 2.6b
y
14. Which equation is
5
4
represented by this
graph?
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
F .5x  3x  2x  1

G  .5x  3x  2x  1
H .5x  3x  2x  1
J  .5x  3x  2x  1
Page 14
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Algebra 2
PASS Content 2.6c
15. What is the set of approximate
y
5
y-values of the relative minimum
and maximum of this graphed
function?
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5

A
 2,2
B
2,2
C  .75,2.5
D .75,2.5
Page 15
Algebra 2
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PASS Content 2.7a
16.
What is the solution
set of this rational
equation?
F
75 75

 10
t 2 t
3,5
3,5
H  3,5
 J  3,5
G
Page 16
Algebra 2
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PASS Content 2.7b
17.
What is the horizontal
asymptote of the graph?
3x  5
y
x2
A y = -2
B y=2
C y = -3

D y=3
Page 17
Algebra 2
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PASS Content 3.1a
18. What type of trend is pictured in the scatter plot graph
below?
F Positive trend
G
Negative trend
H No trend
J
Cannot be determined
Page 18
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Algebra 2
PASS Content 3.1c
19.
y
Which equation most
closely models the data
in the scatter plot?
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
A
y  2x
B
y  2 x
C
1
x
2
1
D y x
2
y
Page 19
Algebra 2
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PASS
Content 3.3
20. What is the sum of the first 6 terms of this series?
4 + 12 + 36 + …
F
44
G 144

H 1456
J
4096
Page 20