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Alg 2 Quis #3

Total questions: 15

Worksheet time: 4hrs 45mins

Name
Class
Date
1.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)x

b)

y = 15(0.35)x

c)

y = 15(1.35)x

d)

y = 35(1.15)x

2.
An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. 
What is the multiplier for this problem?
a)
1.29
b)
.71
c)
.29
d)
1.71
3.
Emily’s parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semiannually,what will be the balance after 18 years?
a)
$6,273.50  frustrated
b)
$6,314.08 bewildered
c)
$6,385.72         pleased
d)
$6,427.94           tickled pink
4.
Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years?
a)
$33,299.42       playing dodgeball
b)
$33,672.68   climbing trees
c)
$34,157.04         riding unicycles
d)
$34,710.88      flipping pancakes
5.

Kimi invests $4,000 at 3% interest compounded continuously. How much money will she have in 4 years?

(a)  

6.

Write the logarithmic equation in exponential form.

log79 = y

a)

7y = 9

b)

9y = 7

c)

79 = y

d)

97 = y

7.

Write the exponential equation in logarithmic form.

5x=25

a)

log525 = x

b)

logx25 = 5

c)

log255 = x

8.
When a logarithm has division inside of it, it expands using ________________.
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
9.
Write logb(x/y) as two logs
a)
logbx-logby
b)
logbx+logby
c)
logbx*logby
d)
logbx/logby
10.
Write the expression as a single logarithm.   Then simplify if possible.
log 6 - log 3 + 2 log 7
a)
log 98
b)
log 78
c)
log 56
d)
log 45
11.
The common logarithm has what base?
a)
10
b)
0
c)
e
d)
-e
12.
Log with a base "e" (loge) is the same thing as...
a)
"e"
b)
Natural Logarithm (LN)
c)
Common Logarithm (Log)
d)
Natural Log, base "e"
LNe
13.

Solve for x:

log2(x+3)=4

a)

16

b)

13

c)

3

d)

10

14.
Solve: 7-x = 49
a)
x = 1
b)
x = -1
c)
x = 2
d)
x = -2
15.
Solve 8 = 25x+7
a)
x = ⅘
b)
x = ¼
c)
x = -⅘
d)
x = -¼