

1. 
Which number is divisible by 2, 3, and 5? 


A. 
2052 
B. 
1230 


C. 
945 
D. 
3100 


Hint 


2. 
Choose the false statement. 


A. 
Since 10 = 2 × 5, a number divisible by 10 is also divisible by 2 and by 5. 


B. 
All multiples of 9 are divisible by 3 because 9 = 3 × 3. 


C. 
No odd numbers are divisible by 4. 


D. 
If a number is divisible by 2 then it is divisible by 4 because 4 = 2 × 2. 


Hint 


3. 
Evaluate the expression 4n + m^{2} if m = 6 and n = 8. 


A. 
44 
B. 
88 


C. 
68 
D. 
40 


Hint 


4. 
Find y for y = x^{2}  15 if x = 6. 


A. 
21 
B. 
3 


C. 
49 
D. 
51 


Hint 


5. 
Find the greatest common factor of 168 and 288. 


A. 
48 
B. 
24 


C. 
2 
D. 
36 


Hint 


6. 
What is the greatest common factor of 18mn^{2}, 54m^{4}, and 80n^{3}? 


A. 
2mn^{2} 
B. 
2 


C. 
18m^{2}n^{3} 
D. 
9mn 


Hint 


7. 
Simplify 


A. 

B. 



C. 

D. 
2ab^{2} 


Hint 


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


A. 
(7)^{3} 
B. 



C. 

D. 



Hint 


9. 
Write in standard form. 


A. 
0.357682 
B. 
3.57682 


C. 
3,576,820 
D. 
357,682 


Hint 


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


A. 
2.2 × 10^{5} 


B. 
2.2 × 10^{5} 


C. 
0.22 × 10^{4} 


D. 
2.2 × 10 


Hint 


11. 
Write the prime factorization of 756. 


A. 
2^{2} · 3 · 63 
B. 
2^{2} · 3^{3} · 7 


C. 
2^{3} · 3^{3} · 7 
D. 
2 · 3^{5} · 7 


Hint 


12. 
Factor 50x^{4}y. 


A. 
2 · 5^{2} · x^{2} · x^{2} · y 


B. 
2 · 5 · 5 · x · x · x · x · y 


C. 
2 · 5 · 5 · x · x · x · y 


D. 
2 · 5^{2} · x^{4} · y 


Hint 


13. 
Four inches is what part of 1 yard? Write you answer as a fraction in simplest form. 


A. 

B. 



C. 

D. 



Hint 


14. 
Which fraction is written in simplest form? 


A. 

B. 
Already simplified 


C. 

D. 



Hint 


15. 
Find 


A. 
10^{12} 
B. 
1^{2} 


C. 
1^{12} 
D. 
10^{2} 


Hint 


16. 
Write the expression m^{7} using a positive exponent. 


A. 

B. 
m^{7} 


C. 

D. 
m^{7} 


Hint 


