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Unit 2 Review - Algebra 2

Total questions: 15

Worksheet time: 3615secs

Name
Class
Date
1.
a)

1

b)

2

c)

3

d)

4

2.

What is the growth rate?

a)

6%

b)

.06%

c)

1.35%

d)

.6%

3.
The population of a small coastal resort town, currently 3400, grows at a rate of 3% per year.  This growth can be expressed by the exponential equation P = 3400(1+.03)x, where P is the population after t years.  Find the number of years it will take for the population to reach 10,000?
a)
20 years
b)
26 years
c)
30 years
d)
36 years
4.

Katy deposited $90 in a savings account earning 5% interest, compounded quarterly. Which of the following equations could represent the amount of money in her account yearly?

a)
b)
c)
d)
5.

Find the balance in an account that has $300 invested at 6.5% for 4 years compounded semi-annually.

a)

$387.47

b)

$496.50

c)

$7,800.00

d)

$385.94

6.

Solve log⁡2(x+8)=log⁡264\log_2\left(x+8\right)=\log_264  

a)

x=16

b)

x=24

c)

x=56

d)

x=40

7.

Solve log⁡8(3x+7)=log⁡8(7x+4)\log_8\left(3x+7\right)=\log_8\left(7x+4\right)  

a)

x=34x=\frac{3}{4}  

b)

x=3x=3  

c)

x=6x=6  

d)

x=43x=\frac{4}{3}  

8.

Solve log⁡9(3u+14)−log⁡95=log⁡92u\log_9\left(3u+14\right)-\log_95=\log_92u  

a)

u=4

b)

u=6

c)

u=2

d)

u=1

9.

Which of the following best describes your understanding of this lesson?

a)

Mastered

b)

Good understanding

c)

Need more practice

d)

I don't understand

10.
log6(2x + 3) = 3
a)
x = 106.5
b)
x = 100
c)
x = 16
d)
x = 50
11.
32x – 6  = 81
a)
x = log 4
b)
x = 5
c)
x = 4
d)
x = -1
12.
7n+10- 8 = 6
a)
-7.374
b)
-8.643
c)
-7.360
d)
-8.853
13.
a)

A

b)

B

c)

C

d)

D

14.

3e2x + 10 = 25

a)

{-3.940}

b)

{1.228}

c)

{0.451}

d)

{0.805}

15.
Solve:
log9(x)+log9(x+2)=log9(35)
a)
5
b)
-7
c)
5, -7
d)
-7, -13