6-2 Standardized Test Prep Answers

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Name Class Date 6-2

Standardized Test Prep

Multiplying and Dividing Radical Expressions

Multiple Choice

For Exercises 1−5, choose the correct letter. Assume that all variables are positive.

1.

What is the simplest form of 3 49

x

7

x

7

x

7

x

3 7

x

2 ?

B

7

x

7 3

x

2

2.

What is the simplest form of 2

x

3

y

3 20

x

80 4

x

6

y

6

x

7

y

5 6

x

?

3

I

4 5

x

7

y

6

3.

What is the simplest form of 3 25

xy

2 5

x

3 3

y

2 5

x

3 3

y

3 15

x

2 ?

A

15

xy

3

y

4

x

3

y

3 5

x

5

xy

15

x

4.

What is the simplest form of 5 2 3

x

4 3

y

2 5

x

2 2

y

75

x

5 12

xy

2 ?

G 5.

What is the simplest form of 2 3 3

x

2

y

?

4

xy

2 3

x

2

y

2

y x

3

y

2

y

C

5

x

2

y x

3 2

xy

2

y

5

x

2

y

2 3 2

y xy

Short Response

6.

The volume

V

of a wooden beam is

V ls

2 , where

l

is the length of the beam and

s

is the length of one side of its square cross section. If the volume of the beam is 1200 in.

3 and its length is 96 in., what is the side length? Show your work.

[2]

V ls

2 ;

s

Z

V l

Z

1200 96 12.5

*

3.5

in.

[1] appropriate methods but with computational errors OR correct answer without work shown [0] incorrect answer and no work shown OR no answer given 1SFOUJDF)BMM"MHFCSB t

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