

1. 
State the additive inverse of 32. 


A. 
32 
B. 
1 


C. 
0 
D. 
32 


Hint 


2. 
Find the mean of {3, 8, 10, 1, 25}. 


A. 
1 
B. 
9 


C. 
8 
D. 
9.4 


Hint 


3. 
Which is the graph of the inequality y  x < 6? 


A. 



B. 



C. 



D. 



Hint 


4. 
Graph the system of equations to determine whether it has no solution, infinitely many solutions, or one solution. If the system has one solution, name it. 2x  y = 4 x + 2 y = 2 


A. 
one solution at (0, 2) 
B. 
no solution 


C. 
infinitely many solutions 
D. 
one solution at (2, 0) 


Hint 


5. 
Brenda and Amparo left their homes for their morning runs at the same time. Brenda can run a 10minute mile and Amparo can run a 12minute mile. Combined, they ran 15 miles in a total of 2 hours and 42 minutes (162 minutes). How many miles did each woman run? 


A. 
Brenda ran 10 miles; Amparo ran 5 miles 
B. 
Brenda ran 8 miles; Amparo ran 7 miles 


C. 
Brenda ran 9 miles; Amparo ran 6 miles 
D. 
Brenda ran 11 miles; Amparo ran 4 miles. 


Hint 


6. 
Use elimination to solve the system of equations given below. 3x  2y = 4 2x + y = 2 


A. 

B. 



C. 

D. 
(0, 2) 


Hint 


7. 
Simplify (3a^{4}b^{2})^{2} (2a^{3}bc^{2})^{3}. 


A. 
6a^{17}b^{7}c^{6} 
B. 
72a^{17}b^{7}c^{6} 


C. 
17a^{12}b^{8}c^{5} 
D. 
36a^{17}b^{7}c^{6} 


Hint 


8. 
Find the difference (7x^{4}y^{2} – 3x^{2}y + 2xy^{2} – 5) – (4x^{4}y^{2} – xy^{2} – 5). 


A. 
3x^{4}y^{2}  4xy^{2} + 2xy^{2}  10 


B. 
11x^{4}y^{2}  3x^{2}y + 3xy^{2}  10 


C. 
11x^{4}y^{2}  3x^{2}y + 3xy^{2} 


D. 
11x^{4}y^{2}  3x^{2}y + xy^{2}  10 


Hint 


9. 
Find the coordinates of the vertex of the graph of the equation y = x^{2}  5x + 7. 


A. 

B. 
(0, 7) 


C. 

D. 
(5, 7) 


Hint 


10. 
Find the coordinates of the vertex of the graph of the equation y = 3x^{2}  12x  5. 


A. 
(2, 7) 
B. 
(4, 5) 


C. 
(1, 20) 
D. 
(2, 41) 


Hint 


11. 
Simplify . 


A. 

B. 



C. 

D. 
The expression is in simplest form 


Hint 


12. 
Solve t – 32 = 96. 


A. 
t = 128 
B. 
t = 64 


C. 
t = 64 
D. 
t = 128 


Hint 


13. 
Write an equation of the line whose slope is and whose yintercept is –2. 


A. 

B. 



C. 

D. 



Hint 


14. 
Write the slopeintercept form of an equation for a line perpendicular to the graph of y = 3x + 5 and passes through the xintercept of that line. 


A. 

B. 



C. 

D. 



Hint 


15. 
A long distance phone company has a monthly fee of $7.95 and charges a rate of $0.05 per minute. Another long distance company has a monthly fee of $9.95 and charges a rate of $0.03 per minute. At how many minutes would the two companies have equal charges? 


A. 
100 minutes 
B. 
150 minutes 


C. 
50 minutes 
D. 
They will never have the same charges. 


Hint 


16. 
What is the value of (4.4 × 10^{9})(3 × 10^{5}) in scientific notation? 


A. 
1.32 × 10^{6} 
B. 
1.32 × 10^{5} 


C. 
1.5 × 10^{4} 
D. 
1.32 × 10^{4} 


Hint 


17. 
Suppose that we have a 3 ft. × 3 ft. piece of paper, and we cut out a square piece so that the area of the remaining piece is 5 feet. What is the length of a side of the square? 


A. 

B. 
2 ft. 


C. 
4 ft. 
D. 



Hint 


18. 
Nancy invests $100 in one account for ten years at a 9% interest rate compounded annually, and she invests $150 in an account for 10 years at a 6% interest rate compounded semiannually. How much money will she have in the accounts after 10 years? 


A. 
$270.92 
B. 
$236.74 


C. 
$505.36 
D. 
$507.65 


Hint 


19. 
Find the result of 


A. 

B. 



C. 

D. 



Hint 


20. 
When Hipolito drives to Cleveland, he always arrives at exactly 5 o'clock. Therefore, if he leaves for Cleveland at 1:00, he can average 60 miles per hour. What time should he leave if he wants to average 75 miles per hour? 


A. 
3:20 
B. 
3:12 


C. 
1:40 
D. 
1:48 


Hint 


