# Exam: 007030RR - Exponents and Roots

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 .

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

B. ab

D. a

5. Simplify the expression .

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 .

9. Simplify the expression .

10. Write the expression 2

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

14. Simplify the expression .

A. 2v6

B. 6v3

C.

D. 2v3

15. Simplify the expression .

A.

B. r

C. r

D.

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

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 .

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

B. ab

D. a

5. Simplify the expression .

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 .

9. Simplify the expression .

10. Write the expression 2

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

14. Simplify the expression .

A. 2v6

B. 6v3

C.

D. 2v3

15. Simplify the expression .

A.

B. r

C. r

D.

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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