

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


A. 
3100 
B. 
1230 


C. 
945 
D. 
2052 


Hint 


2. 
Choose the false statement. 


A. 
No odd numbers are divisible by 4. 


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


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


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


Hint 


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


A. 
44 
B. 
68 


C. 
88 
D. 
40 


Hint 


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


A. 
51 
B. 
21 


C. 
3 
D. 
49 


Hint 


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


A. 
24 
B. 
36 


C. 
48 
D. 
2 


Hint 


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


A. 
2 
B. 
2mn^{2} 


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


Hint 


7. 
Simplify 


A. 

B. 



C. 
2ab^{2} 
D. 



Hint 


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


A. 
(7)^{3} 
B. 



C. 

D. 



Hint 


9. 
Write in standard form. 


A. 
3,576,820 
B. 
0.357682 


C. 
3.57682 
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 


C. 
2.2 × 10^{5} 


D. 
0.22 × 10^{4} 


Hint 


11. 
Write the prime factorization of 756. 


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


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


Hint 


12. 
Factor 50x^{4}y. 


A. 
2 · 5 · 5 · x · x · x · y 


B. 
2 · 5^{2} · x^{4} · y 


C. 
2 · 5^{2} · x^{2} · x^{2} · y 


D. 
2 · 5 · 5 · x · x · x · x · 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. 
Already simplified 
B. 



C. 

D. 



Hint 


15. 
Find 


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


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


Hint 


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


A. 
m^{7} 
B. 



C. 

D. 
m^{7} 


Hint 


