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WorksheetsCh 11. Review
Total questions: 26
Worksheet time: 2hrs 39mins
Name
Class
Date
1.
Which function is exponential?
a)
f(x)
b)
h(x)
c)
g(x)
2.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Above
3.
Which equation matches the graph?
a)
y=2(2)x
b)
y=2(1/2)x
c)
y=2x
d)
y=1/2(2)x
4.
Solve: 7-x = 49
a)
2
b)
-2
5.
Change 6.75% to a decimal.
a)
67.5
b)
.675
c)
675
d)
.0675
6.
Principal Value: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.
a)
$12712.31
b)
$12,749.30
c)
$12,657.59
d)
$12550.84
7.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
8.
Emily would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.
a)
$15,415.94
b)
$15,683.28
c)
$15,927.56
d)
$16,109.05
9.
Compounded Continuously Invested $400 at a rate of 35% for 8 months
a)
$520.07
b)
$505.12
c)
$460.11
d)
$7,643.74
10.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
11.
Change to Exponential Form:
log636 = 2
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
12.
Expand
a)
A
b)
B
c)
C
d)
D
13.
Condense
a)
A
b)
B
c)
C
d)
D
14.
Solve:
log (−2a + 9) = log (7 − 4a)
log (−2a + 9) = log (7 − 4a)
a)
-5
b)
-1
c)
1
d)
5
15.
What is the value of ln(e)
a)
1
b)
e
c)
2.718...
d)
Does not exist
16.
Solve the equation.
2 log23 + log2x = 6
2 log23 + log2x = 6
a)
x =8/3
b)
x = 64/9
c)
x = 36/9
d)
x = 16/3
17.
a)
ln 8
b)
2
c)
4
d)
8
18.
To two decimal places, find the value of x given;
e^(x + 6) - 5 = 1
e^(x + 6) - 5 = 1
a)
There is no solution for x
b)
x = 408.43
c)
x = -4.21
d)
x = 248.72
19.
Write y=2137.5127(1.0534)x in terms of "e"
a)
y=1.0534e2137.5127x
b)
y=2137.5127e1.0534x
c)
y=2137.517e.0520x
d)
y=2137.517e.0226
20.
The human impression of the strength of a sound depends, among other things, on the frequency of the sound. The loudness level of a sound, in phons, is the decibel level of an equally loud 1000 Hz tone. The sone is another unit of comparative loudness. The table lists some equivalent values of phons and sones. find an equation that give the phon level of a sound in terms of sones.
a)
y= 40+14.43ln(x)
b)
y=31.15(1.196)x
c)
y=40(14.13)x
d)
y=31.15+1.196ln(x)
21.
Evaluate
antilog 0.3012
antilog 0.3012
a)
2.001
b)
-5.211
c)
-1.20
d)
1.3515
22.
Evaluate
antiln 4.53
antiln 4.53
a)
92.759
b)
1.511
c)
33884.416
d)
0.656
23.
Solve the equation
42x-1=23x
42x-1=23x
a)
4
b)
2
c)
0.693
d)
7.389
24.
Express x8/4y3/4z1/4 using radicals
a)
x2∜(y3z)
b)
∜(x8y3z)
c)
x8y3z
d)
y3z
25.
Simplify
a)
4f4gh-1
b)
4f-4gh1
c)
1/4f4g-1h
d)
1/4f4gh-1
26.
In Honolulu county, Hawaii, the population was 876,156 in 2000. The average yearly rate of growth is 0.74%. Find the projected population in 2015
a)
978,612
b)
876,156
c)
783,167
d)
1,347,897
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