Two-Year Algebra 2 A Semester Exam Review 2015-2016

Two-Year Algebra 2 A
Semester Exam Review Answers
Two-Year Algebra 2 A
Semester Exam Review
2015-2016
Answers
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Two-Year Algebra 2 A
Semester Exam Review Answers
Unit 1, Topic 1
1.
2.
a.
 b, a 
b.
3
c.
yx
d.
domain
e.
range
a.
Example: Let x  4 , then f  4   16 , g 16  
1
. The original number is not
256
the result.
b.
Example: Let x  2 , then f  2   6, g  6   18 . The original number is not the
result.
3.
4.
a.
g  x 
x2
3
b.
g  x 
x 9
2
c.
g  x  3 x  7
a.
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b.
Two-Year Algebra 2 A
5.
6.
Semester Exam Review Answers
p  18
2
a.
g
b.
25 glasses
a.
c
b.
50 items
s  200
2.5
Unit 1, Topic 2
7.
a.
5
b.
1
3 y
x
 z
2
c.
3
z 2 or
a.

1
2
b.
4
5
c.
9
d.
3
e.
5
6
9.
a.
9
10.
Yes, x  25 is extraneous. 3 25  15  15 .
11.
x  1 is extraneous.
12.
x  8 is not extraneous.
8.
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3
1
5
b.
3
8  2 .
c.
4
Two-Year Algebra 2 A
13.
14.
Semester Exam Review Answers
a.
b.
c.
d.
a.
x0
b.
f  x  7
c.
0,  
15.
x  200
16.
31.36 miles per hour
17.
1978
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Two-Year Algebra 2 A
Semester Exam Review Answers
Unit 1, Topic 3
18.
19.
20.
21.
22.
1
or f  x    
3
a.
f  x  3
b.
g  x   log 5 x
c.
h  x   2x
d.
m  x   log x
a.
x is between 4 and 5
b.
x is between 2 and 3
c.
x is between 1 and 2
d.
x is between 0 and 1
a.
log 4 16  2
b.
log1000  3
c.
ln1  0
a.
102 
b.
e1 
c.
92  81
a.
exponential decay
b.
exponential decay
c.
exponential growth
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x
1
100
1
e
x
Two-Year Algebra 2 A
23.
Semester Exam Review Answers
a.
B  t   300e0.70t
b.
P  t   2000 1  0.11  2000 1.11
c.
 0.06 
F  t   500  1 

12 

d.
D  t   700 1  0.08   700  0.92 
e.
G  t   4e 0.12t
a.
f, h
b.
g, p
c.
f, g
d.
f, h
e.
g, p
f.
g, p
g.
f, h
h.
h, p
i.
g, p
j.
f, h
a.
g  x   e x 1
b.
h  x   ex  4
c.
p  x   e x
d.
s  x   e x
a.
g  x   log 2  x  2 
b.
h  x   log 2  x  2 
c.
p  x    log 2 x
d.
z  x   log 2   x 
t
12 t
24.
25.
26.
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t
t
 500 1.005 
12 t
t
Two-Year Algebra 2 A
27.
28.
29.
30.
31.
Semester Exam Review Answers
a.
2
b.
–2
c.
4
d.
1
e.
0
f.
–1
g.
3
2
h.
1
2
a.
x  log 8  0.903
b.
t
a.
$2904.04
b.
$2,904.59
a.
100, 000 1  0.30   100, 000 1.30 
b.
$285,610
c.
$46,402.50 per year
a.
1, 000, 000 1  0.20   1, 000, 000  0.80 
b.
$327,680
c.
$134,464 per year
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ln1000
 0.863
8
t
t
t
t