MS250
Introductory Mathematical Analysis
Practice Exam I

SHORT ANSWER.  Write the word or phrase that best completes each statement or answers the question.
1)  Find the domain of the function: f(x) =  				 

2)  Find the slope of the line passing through the points (5, -3) and (2, -1). 	

 

3)  Find a general linear equation of the line that passes through point (1, -2) and has slope 3. 

4)  Graph the equation 3x + 4y - 12 = 0.

5)  Find the slope of the line 3x + 9y - 7 = 0. 	

			 

6)  Find the slope-intercept form of an equation of the line that passes through the point (2, 0) and has slope 4. 									

7)  Graph the function y = 2.

 

8)  Graph the equation x=4.

9)  Solve the following system algebraically: 

10)  Solve the following system algebraically:

 
11)  
Solve the following system algebraically:

 

MULTIPLE CHOICE.  Choose the one alternative that best completes the statement or answers the question.
12)  Find the y-intercept of the graph of the function y = f(x) = 2x-2
A) (-2, -32) 
B) (-2, 4) 
C) (0, -2) 
D) (2, 4) 
E) (4, 20) 

13)  The domain of f(t) = 

A) all real numbers except 2 
B) all real numbers except 4 
C) all real numbers except 0 
D) all real numbers 
E) all real numbers except 2 and 4 

14)  An equation of the line with slope 8 and y-intercept 5 is 
A) 5x - 3y + 8 = 0. 
B) 8x + 2y + 5 = 0. 
C) 16x - 2y + 5 = 0. 
D) y = 8x + 5. 
E) y = 5x + 8. 

15)  The slope of the line passing through the points (-4, 5) and (3, -2) is 
A) 3.
 B)  -1.
 C)  -3.
 D)  -7.
 E)  1. 

1)  all real numbers except 0 and ±3 

2)  -2/3

3)  3x - y - 5 = 0 

4)  

5)  -1/3

6)  y = 4x - 8 

7)
  
2

8)     

4

9)  x = 2, y = -3 

10)  x = 0, y = 18 

11) x=1/2, y=1/3 

12)  C 

13)  B 

14)  D 

15)  B