Free Printable FINAL EXAMINATION 9 WEEKS: ALGEBRA 2

1.

Simplify the following expression:

a)

2

b)

4

c)

16

d)

64

2.

Simplify:

a)

2

b)

4

c)

16

d)

64

3.

Write with rational exponents:√(7x)

a)

(7x)^½

b)

7x^½

c)

7x²

d)

(7x)²

4.

Multiply and Simplify:
√(3x²) × √(4x³)

a)

2x²√(3x)

b)

x²√(3x)

c)

3x²√(2x)

d)

2x√(3x²)

5.

Rewrite the following

∛x⁵

a)

x^3/5

b)

x^5/3

c)

x²

d)

x³⋅x⁵

6.

Write in exponential form
∜(3x)³

a)

3x³⁄ ⁴

b)

(3x)³∕ ⁴

c)

(3x)⁴⁄ ³

d)

3x⁴⁄ ³

7.

Simplify

a)

3 x² y² z √3yz

b)

3 x y z √xy²

c)

3xyz

d)

Can't Simplify

8.

Simplify:

a)

5x√2

b)

100x√2

c)

10x√2

d)

10√2x

9.

Simplify:

a)

∛121

b)

121

c)

√11

d)

1331

10.

Rewrite in Exponential Form.

a)

A

b)

B

c)

C

d)

D

11.

Write each expression in exponential form.

a)

A

b)

B

c)

C

d)

D

12.

.

a)

A

b)

B

c)

C

d)

D

13.

a)

13√3

b)

10√30

c)

13√6

d)

11√3

14.

$6\sqrt{2}\cdot5\sqrt{14}$ Simplify.

a)

$32\sqrt{7}$

b)

$60\sqrt{7}$

c)

$2\sqrt{7}$

d)

$30\sqrt{7}$

15.

The process of eliminating radicals from the denominator of a fraction is called ______________.

a)

division

b)

rationalizing the denominator

c)

rationalizing the numerator

d)

factoring

16.

The number or expression inside of a radical is called the ____________

a)

argument

b)

index

c)

radicand

d)

root

17.

Simplify the radical

a)

b)

c)

d)

18.

Simplify the expression

a)

b)

c)

d)

19.

Simplify the expression

a)

b)

c)

d)

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

5∛27

b)

7∛3

c)

15

d)

8∛3

22.

a)

∛-234

b)

-3∛2

c)

7∛2

d)

3∛2

23.

Solve: 4∛5 + 6∛5 − 9∛5

a)

19∛5

b)

10∛5 - 9∛5

c)

-∛5

d)

∛5

24.

$\left(3\sqrt{5}-2\sqrt{3}\right)\left(2+\sqrt{3}\right)$

a)

$6\sqrt{5}-3\sqrt{15}+4\sqrt{3}+6$

b)

$6\sqrt{10}+9\sqrt{15}-4\sqrt{6}-18$

c)

$6\sqrt{5}-6$

d)

$6\sqrt{5}+3\sqrt{15}-4\sqrt{3}-6$

25.

\left(6\sqrt{7}-2\sqrt{8}\right)\left(6\sqrt{7}+2\sqrt{8}\right)

a)

220

b)

284

c)

$284+48\sqrt{14}$

d)

$220-48\sqrt{14}$

26.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

27.

Simplify the following radical: √275

a)

5√5

b)

5√11

c)

11√5

d)

5√55

28.

√75x²

a)

5x²√3

b)

5x

c)

5x√3x

d)

5x√3

29.

√500x⁸y²

a)

10x⁴y√5

b)

10x⁴y²√5

c)

50x⁴y

d)

100x⁴y√5

30.

a)

8√6

b)

8√12

c)

12√6

d)

12√12

31.

a)

7√3

b)

Can't Simplify

c)

6√15

d)

6√3

32.

Simplify: 2√40 - 3√10

a)

5√10

b)

√10

c)

-√30

33.

(-2√7)(3√28)

a)

-6√14

b)

6√13

c)

-84

d)

-78

34.

a)

A

b)

B

c)

C

d)

D

35.

a)

A

b)

B

c)

C

d)

D

FINAL EXAMINATION 9 WEEKS: ALGEBRA 2

Total questions: 35

Worksheet time: 9hrs 45mins

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