

1. 
Determine whether the graphs of the pair of equations 3x  2y = 7 and 3x + 2y = 7 are parallel, coinciding, or neither. 


A. 
parallel 
B. 
neither 


C. 
coinciding 
D. 
all are correct 


Hint 


2. 
Solve the systems of equations by using matrix equations. 





A. 

B. 



C. 

D. 



Hint 


3. 
If the lumber mill can turn out 900 units of product each week and must produce 100 units of lumber and 400 units of plywood, graph the systems of inequalities. Let x = units of lumber, and y = units of plywood. 


A. 



B. 



C. 



D. 



Hint 


4. 
Graph y = 1 + . 


A. 

B. 



C. 

D. 



Hint 


5. 
Determine whether the function f(x) = is continuous at x = 1. 


A. 
None is correct. 
B. 
No, because substituting x = 1 results in a denominator of 0. 


C. 
Yes, the inability to divide by 0 has no bearing on this problem. 
D. 
Yes, it is continuous at x = 1, but not at x = 1. 


Hint 


6. 
In a polynomial equation, if there is one change in sign of the coefficients of the terms, ____. 


A. 
there is one imaginary root 
B. 
there could be one or three positive real zeros 


C. 
there is exactly one positive real zero 
D. 
none of the above is correct 


Hint 


7. 
In given A = 100°, b = 7 and c = 6, find a. 


A. 
about 6.3 
B. 
about 7.5 


C. 
about 8.4 
D. 
about 10.0 


Hint 


8. 
If x and y are acute angles such that sin x = and sin y = , what is the value of cos (x  y)? 


A. 

B. 



C. 

D. 



Hint 


9. 
Which of the following is a dilation matrix? 


A. 

B. 



C. 

D. 



Hint 


10. 
The force on an object is represented by the complex number 8 + 7i, where the components are measured in newtons. What is the magnitude of the force? 


A. 
about 1.09 N 
B. 
about 15.67 N 


C. 
about 56.13 N 
D. 
about 10.63 N 


Hint 


11. 
Write the equation in exponential form. 


A. 

B. 



C. 

D. 



Hint 


12. 
Solve the equation 3^{4x} = 8^{x  5} by using natural logarithms. 


A. 
4.3150 
B. 
4.4912 


C. 
3.4271 
D. 
2.9412 


Hint 


13. 
Write a sequence that has one geometric mean between and 21. 


A. 

B. 



C. 

D. 



Hint 


14. 
Find ln (7) to four decimal places. 


A. 

B. 



C. 

D. 



Hint 


15. 
What is the standard deviation for the data {67, 90, 83, 85, 73, 80, 78, 79, 68, 71}? 


A. 
about 7.56 
B. 
about 51.44 


C. 
8 
D. 
about 7.17 


Hint 


16. 
Use limits to find the area between the curve y = x and the xaxis from x = 0 to x = 2. 


A. 
4 units^{2} 
B. 
6 units^{2} 


C. 
5 units^{2} 
D. 
2 units^{2} 


Hint 


17. 
State the domain and range of the relation. 





A. 
The domain and the range include all real numbers. 


B. 
The domain includes negative real numbers. The range includes all real numbers. 


C. 
The domain includes just positive real numbers. The range includes all real numbers. 


D. 
The domain includes all real numbers. The range includes all positive real numbers. 


Hint 


18. 
Write a linear equation to represent the cost y of a long distance calling plan that charges $5.99 plus $0.07 per minute for x number of minutes. 


A. 
y = x  5.99 
B. 
y = 5.99x + 0.07 


C. 
y = 0.07x + 5.99 
D. 
y = x + 5.99 


Hint 


19. 
What is the complex conjugate of a  bi, if a and b are real numbers? 


A. 
a + bi 
B. 
a^{2} + b^{2}  abi 


C. 

D. 
a  bi 


Hint 


20. 
Identify the conic section with equation 4(x + 4) ^{2}  3(y + 3) ^{2} = 12. 


A. 
circle 
B. 
parabola 


C. 
hyperbola 
D. 
ellipse 


Hint 

