

1. 
Choose a tens digit for 2?6 so that the threedigit number is divisible by 6. 


A. 
3 
B. 
0 


C. 
2 
D. 
1 


Hint 


2. 
Solve x = 3^{4}. 


A. 
x = 81 
B. 
x = 27 


C. 
x = 12 
D. 
x = 64 


Hint 


3. 
Factor 144 completely. 


A. 
12 · 12 
B. 
3 · 3 · 4 · 4 


C. 
4 · 4 · 9 
D. 
2 · 2 · 2 · 2 · 3 · 3 


Hint 


4. 
Find the greatest common factor of 168 and 288. 


A. 
2 
B. 
36 


C. 
48 
D. 
24 


Hint 


5. 
Find the greatest common factor of 64ab^{3}c^{2} and 48a^{2}b^{2}c. 


A. 
16ab^{2}c 
B. 
16abc 


C. 
8a^{2}b^{2}c^{2} 
D. 
8ab^{3}c 


Hint 


6. 
Simplify 


A. 

B. 



C. 

D. 



Hint 


7. 
Simplify 


A. 

B. 



C. 

D. 
2ab^{2} 


Hint 


8. 
Express 7^{3} using positive exponents. 


A. 

B. 



C. 
(7)^{3} 
D. 



Hint 


9. 
Write 0.478 in scientific notation. 


A. 
4.78 × 10^{2} 


B. 
478 × 10^{1} 


C. 
4.78 × 10^{2} 


D. 
4.78 × 10^{1} 


Hint 


10. 
The diameter of a volcanic particle averaged 0.000022 meter. What is this measure written in scientific notation? 


A. 
0.22 × 10^{4} 


B. 
2.2 × 10 


C. 
2.2 × 10^{5} 


D. 
2.2 × 10^{5} 


Hint 


11. 
The number 462 is divisible by which of the following? 


A. 
6 
B. 
None of these 


C. 
10 
D. 
5 


Hint 


12. 
Write 3 · x · x · x · x · y · y · y · y using exponents. 


A. 
3x^{4}y^{4} 
B. 
3^{4}x^{4}y^{4} 


C. 
3>x^{4}y^{3} 
D. 
3xy^{8} 


Hint 


13. 
Write the prime factorization of 500. 


A. 
2^{3} · 5^{2} 
B. 
2^{2} · 5^{3} 


C. 
5 · 10^{2} 
D. 
2^{4} · 5^{2} 


Hint 


14. 
Which fraction is written in simplest form? 


A. 
x^{2}yz 
B. 
Already simplified 


C. 

D. 



Hint 


15. 
Find 6^{3} · 6^{2}. 


A. 
36^{6} 
B. 
6^{6} 


C. 
36^{5} 
D. 
6^{5} 


Hint 


16. 
Write the expression 5^{4} using a positive exponent. 


A. 

B. 
5^{4} 


C. 

D. 
5^{4} 


Hint 


