

1. 
Solve the equation p=2q + 2w for q. 


A. 

B. 
q = p  w 


C. 

D. 
q = p  2w  q 


Hint 


2. 
What is the final price of a $152 item after 6% tax is added? 


A. 
$9.12 
B. 
$161.12 


C. 
$142.88 
D. 
$243.20 


Hint 


3. 
Determine the value of r so that the line through (r, 4) and (7, 7) has a slope of . 





A. 
3 
B. 
11 


C. 
9 
D. 
3 


Hint 


4. 
Which is the graph of the inequality y  x < 6? 


A. 



B. 



C. 



D. 



Hint 


5. 
Use elimination to solve the system of equations given below. 5x + 3y = 3 3x + 4y = 15 


A. 

B. 
(5, 0) 


C. 
(3, 4) 
D. 
(3, 6) 


Hint 


6. 
Find (4r + 7s)(4r  7s) 


A. 
16r^{2}  56rs + 49s^{2} 
B. 
16r^{2} + 56rs + 49s^{2} 


C. 
16r^{2} + 49s^{2} 
D. 
16r^{2}  49s^{2} 


Hint 


7. 
Factor 4y^{2} – 9. 


A. 
(2y + 3)(2y + 3) 
B. 
(2y – 3)(2y – 3) 


C. 
prime 
D. 
(2y + 3)(2y – 3) 


Hint 


8. 
Solve a^{2} + 16 = 0 by graphing. 


A. 

B. 
4 


C. 
4, 4 
D. 
4 


Hint 


9. 
Use the quadratic formula to solve 2x^{2} + 7x + 4 = 0. Approximate the solutions to the nearest hundredth. 


A. 
5.56, 1.44 
B. 
1.28, 3.66 


C. 
2.78, 0.72 
D. 
3.35, 0.15 


Hint 


10. 
Find . 


A. 

B. 



C. 

D. 



Hint 


11. 
Simplify . 


A. 

B. 



C. 
4 
D. 
16 


Hint 


12. 
Find the slope of the line that passes through (5, 5) and (9, 5). 


A. 

B. 



C. 
0 
D. 
undefined 


Hint 


13. 
Solve –10 < 2x – 8 < 8. 


A. 
{x 1 < x < 8} 
B. 
{x 9 < x < 8} 


C. 
{x 1 < x < 6} 
D. 
{x 9 < x < 0} 


Hint 


14. 
Use elimination to solve the system of equations given by 3x – 2y = 10 and 5x + 2y = 6. 


A. 
(2, 2) 
B. 
(2, 8) 


C. 
no solution 
D. 
infinitely many solutions 


Hint 


15. 
Which of the following expressions is an example of a polynomial with powers of x in ascending order? 


A. 
x + 2x^{3} + 5x^{4} 


B. 
x + 1 – 6x^{3} + 2x^{4} 


C. 
x + 2x^{3} – 2x^{2} – 5x^{4} 


D. 
3x + 5x^{3} – 7x^{4} – 3 


Hint 


16. 
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. 
2 ft. 
B. 
4 ft. 


C. 

D. 



Hint 


17. 
Consider a right triangle whose height is 12 feet and whose hypotenuse is 15 feet. What is the area of the triangle? 


A. 
180 feet 
B. 
54 feet 


C. 
90 feet 
D. 
108 feet 


Hint 


18. 
Which of the following is not necessarily true concerning similar triangles? 


A. 
The measures of their corresponding angles are equal. 


B. 
The measures of their corresponding sides are proportional. 


C. 
Each triangle has angles whose sum is 180°. 


D. 
The measures of their corresponding sides are equal. 


Hint 


19. 
In the figure, what is the value of y? 





A. 
33.5 
B. 
11.9 


C. 
9.8 
D. 
13.9 


Hint 


20. 
Solve 


A. 
m = 1 
B. 
m = 


C. 
m = 1 
D. 
m = 


Hint 


