# 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
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