Free Printable Algebra 2 Final Review

1.

Multiply and Simplify

a)

(n-10)/8n+56

b)

(n-10)(n+7)/8n+56

c)

(n-10)/8

d)

(n+10)/8

2.

a)

1/7

b)

47/36

c)

7

d)

23

3.

What's the vertical asymptote of the function?

a)

x = 5

b)

x = 0

c)

x =5 , x = -5

d)

x = 25

4.

What's the vertical asymptote of the function?

a)

x = -4, x = 1

b)

x = 4, x = -1

c)

x = -4, x = -1

d)

x = 4, x = 1

5.

What is the slant asymptote for the equation

f(x) = (x² - 4x + 2)/(x + 3)

a)

y = x -1

b)

y = x -7

c)

y = -7x + 23

d)

y = -2x + 2

6.

Find the slant asymptote.

(x²- 2x - 8) / (x - 2)

a)

y = x

b)

y = x - 8

c)

y = x - 4

d)

y = x + 4

7.

What is the slant asymptote for the function?

a)

y = 12

b)

y = x - 5

c)

y = x-5 + 12/(x+2)

d)

y = 12/(x+2)

8.

Find the inverse of f(x)=log₄(x+4)

a)

y=4^(x-4)

b)

y=4^x+4

c)

y=4^x-4

d)

y=4^x

9.

Find the inverse of the function f(x)=5^(x+2)

a)

y=log₅(x-2)

b)

y=log₅(x)-2

c)

y=log₅(x)+2

d)

y=log₅(x+2)

10.

What is the inverse of f(x)=5^x+3?

a)

f^-1(x)=log₃(x-5)

b)

f^-1(x)=log₅(x)-3

c)

f^-1(x)=log₅(x-3)

d)

f^-1(x)=log₅(x+3)

11.

Which equation is the inverse of the equation above?

a)

b)

c)

d)

12.

Solve for x

a)

5

b)

13

c)

84

d)

-20

13.

Condense

a)

A

b)

B

c)

C

d)

D

14.

Sovle for x:
5^{-3x - 1} = 25

a)

x = -1

b)

x = -4

c)

x = -3

d)

x = 1

15.

Solve 8 = 2^5x+7

a)

x = ⅘

b)

x = ¼

c)

x = -⅘

d)

x = -¼

16.

Solve this equation.

$-e^{4x}=-36$

a)

9

b)

Undefined

c)

0.895

d)

0.389

17.

Solve this equation.

5e^{3x}=125

a)

1.072

b)

8.333

c)

25

d)

Undefined

18.

Condense $15\ \log_5a\ +3\ \log_5b$

a)

$15\log_5ab$

b)

$\log_5\left(a^{15}b^3\right)$

c)

$\log_5\left(b^{15}a^3\right)$

d)

$45\log_5\left(ab\right)$

19.

Expand the Log completely and simplify if possible. $\log_{ }\left(\frac{\sqrt{x}}{z^5y}\right)$

a)

$\frac{1}{2}\log x\ -5\log z-\log y$

b)

$\log\ x^{\frac{1}{2}\ }-\log\ z^5+\log\ y$

c)

$\log\ \sqrt{x}-\log z^5+y^{ }$

d)

$10\log\ x-z+y$

20.

Which graph matches this equation?

a)

b)

c)

d)

21.

Treasure won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, how much total will she earn in 10 years?

a)

$4915.59

b)

$3933.28

c)

$2979.81

d)

$4005.09

22.

You have $5,000 to invest for a future family vacation. If you can get an interest rate of 4.3% compounded monthly, how much money will you have if you take your vacation 3 years?

a)

$37,042

b)

$5,537.52

c)

$3,250

d)

$5,687.14

23.

Cora invested $400 at a rate of 35% for 8 months, compounded continuously. How much is her investment worth after 8 months?

a)

$520.07

b)

$505.12

c)

$460.11

d)

$7,643.74

24.

Hannah invested $4000. How much money will she have in 15 years if the interest rate of 6% is being compounded continuously?

a)

9839.42

b)

32412.71

c)

9838.41

d)

32412.72

25.

When would we use this formula? A = Pe ^rt

a)

interest increases by fixed amount

b)

compound interest

c)

compound continuously

d)

decreases by fixed percent

26.

What does the n stand for in this formula?

a)

Initial amount

b)

Final amount

c)

Rate

d)

Time

e)

The number of times compounded per year

27.

Solve for the missing angle.

a)

32°

b)

44°

c)

61°

d)

50°

28.

Solve for the missing angle.

a)

33°

b)

49°

c)

39°

d)

41°

29.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

30.

What is the value of x?

a)

9.17

b)

98.13

c)

0.11

d)

26.69

31.

Find the length of Side BC.

a)

33

b)

24

c)

12

d)

29

32.

Find the length of side AC.

a)

12

b)

10

c)

23

d)

14

33.

Find the value of x.

a)

41.7

b)

51.7

c)

61.7

d)

71.7

34.

a)

A

b)

B

c)

C

d)

D

35.

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. What is the probability of drawing 2 purple marbles?

a)

2/9

b)

1/3

c)

1/2

d)

1/4

36.

A bag has 2 yellow marbles and 8 brown marbles. Nancy takes out two marbles without replacing the marbles. What is the probability that they will both be yellow?

a)

2/19

b)

1/10

c)

1/25

d)

1/45

37.

a)

A

b)

B

c)

C

38.

Perform the indicated operation and simplify: $\frac{x^2+5x-34}{x^2-9x+8}-\frac{10}{x-8}$

a)

$\frac{x^2-5x-44}{\left(x-8\right)\left(x-1\right)}$

b)

$\frac{x^2-5x-24}{\left(x-8\right)\left(x-1\right)}$

c)

$\frac{x+6}{x-1}$

d)

$\frac{x+3}{x-1}$

39.

Solve the equation.

a)

1

b)

2

c)

4.67

d)

12

Algebra 2 Final Review

Total questions: 39

Worksheet time: 3hrs 15mins

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