Exam: 007030RR - Exponents and Roots

1. What is the value of j in the equation v j  +  v j  + 14 =  3v j +  10?

A. 4

B. 2

C. v 2 

D. 16

 

2. Simplify the expression insert .

A.

B.

C.

D.

 

3. In a right triangle, one leg measures 4 inches and the other leg measures 6 inches. What is the length of

the hypotenuse in inches?

A. v 52 

B. 52

C. 2v 13 

D. 10

 

4. Simplify the following expression .

A. a

-6

B. ab

b

-2

C.

D. a

 

4

b

3

5. Simplify the expression .

A.

B.

C.

D.

 

6. In a right triangle, the length of the hypotenuse is 20 inches and the length of one leg is 15 inches. What

is the length of the other leg in inches?

A. 5

B. v 7 

C. 25

D. 5v 7 

 

7. Find the value of x in the equation 2v x  + 20 = 15 +  3v x .

A. 25

B. 16

C. –5

D. 1

 

8. Find the square root of the fraction .

A.

B.

C.

D.

 

9. Simplify the expression .

A. .

B. .

C. .

D. .

 

10. Write the expression 2

A.

  _______

 2

5

B.

  _______

 32

C.

D.

 

 

 

3

/

5

 as a radical.

11. Find the value of x in the equation v x  + 5 =  v x  +  45.

A. 2

B. 16

C. 4

D. 1

 

12. Write 34392.55 in scientific notation.

A. 3.439255 × 10

B. 3.439255 × 10

C. 3.439255 × 10

-4

-3

3

D. 3.439255 × 10

 

4

13. Write 0.0003532 in scientific notation.

A. 3.532 × 10

B. 3.532 × 10

C. 3.532 × 10

D. 3.532 × 10

 

-4

4

-5

5

14. Simplify the expression .

A. 2v6 

B. 6v3 

C.

D. 2v3 

 

15. Simplify the expression .

A.

B. r

C. r

D.

 

-1s

4

-5s

4

16. Simplify the expression 2v 20  -  3v 7  -  2v 5 +  4v 63 .

A. 2v 20  -  3v 7  +  4v 63 

B. 2v 20  -  3v 7  -  2v 5 +  4v 63 

C. 2v 5  +  9v 7 

D. 2v 20  -  4v 7  -  2v 5 

 

17. If one leg of a right triangle measures 3 centimeters and the other leg measures 6 centimeters, what is

the length of the hypotenuse in centimeters?

A. 9

B. v 5 

C. 5v 3 

D. 3v 5 

 

 

18. Divide  by .

A.

B.

C.

D.

 

19. Write the number 0.000938 in scientific notion.

A. 9.38 × 10

B. 9.38 × 10

C. 9.38 × 10

D. 9.38 × 10

 

5

-5

-4

4

20. Simplify the expression (2v 27 ) · (3v 32 ).

A. 35v 6 

B. 36v 24 

C. 18v 6 

 

D. 72v 6 

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