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Alg 2 Unit 6 Review

Total questions: 21

Worksheet time: 1hrs 9mins

Name
Class
Date
1.
Give the rate of decay:
y = 35(0.65)x
a)
35%
b)
65%
c)
.35%
d)
165%
2.
Give the rate of growth:
y = 5(1.27)x
a)
127%
b)
27%
c)
5
3.

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased by 5% per year. How much is the home worth today?

a)

$176,783.29

b)

$424,527.63

c)

$57,357.75

d)

$532,041,076.80

4.
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
a)
14327
b)
4309
c)
839
d)
7680
5.
The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.
a)
y=1400(1.09)x
b)
y=1.09(1400)x
c)
y=1400(.91)x
d)
y=1.09x
6.
Write as one logarithm. Simplify, if possible.
log39 + log327
a)
-1
b)
5
c)
4
d)
1
7.
Write as one logarithm. Simplify, if possible.
log2800 - log2100
a)
8
b)
3
c)
-3
d)
1
8.
Write as one logarithm. Simplify, if possible.
log63 + log62
a)
0
b)
log65
c)
log61
d)
1
9.
Evaluate.
3 log24
a)
3
b)
6
c)
2
d)
4
10.
Evaluate:
log416
a)
2
b)
4
c)
1/2
d)
-2
11.

log2(x+3)=4

a)

16

b)

13

c)

3

d)

10

12.

log8(4x+4)=2

a)

15

b)

12

c)

10

d)

3

13.
Solve: 2x = 4x+1
a)
x = -2
b)
x = 2
c)
x = -3
d)
x = 3
14.
Sovle for x:
5-3x - 1 = 25
a)
x = -1
b)
x = -4
c)
x = -3
d)
x = 1
15.
Solve 8 = 25x+7
a)
x = ⅘
b)
x = ¼
c)
x = -⅘
d)
x = -¼
16.

A car depreciates in value by 12% each year. If the car was originally worth $20,000, what is its value after 5 years?

a)

$10,000

b)

$11,000

c)

$12,000

d)

$13,000

17.

Write an exponential decay function to model a population of bacteria that decreases by 15% every hour, starting with 500 bacteria.

a)

y=500(0.85)^x

b)

y=500(1.15)^x

c)

y=500(0.15)^x

d)

y=500(1.85)^x

18.

Solve for x:
32x+1 = 81

a)

x = 2

b)

x = 3

c)

x = 1

d)

x = 0

19.

Write an exponential growth function to model a population of rabbits that increases by 20% every month, starting with 200 rabbits.

a)

y=200(1.20)^x

b)

y=200(0.80)^x

c)

y=200(1.80)^x

d)

y=200(0.20)^x

20.

Evaluate:
2 log39

a)

4

b)

6

c)

2

d)

3

21.

Solve for x:
42x + 3 = 64

a)

x = 0

b)

x = 1

c)

x = 2

d)

x = 3