ETSU Calculus I Readiness Assessment

Select the one correct answer for each of the following questions. Since this assessment is for your purposes only, there is no reason to guess if you have no idea how to answer a particular question.

The questions are constructed so that a calculator should not be necessary. There may be a question or two where the arithmetic is cumbersome enough that a calculator would be helpful to save a few moments of time.

Suggestions for evaluating the results of the assessment are given at the end.



1.
Simplify the expression
A.
B.
C.
D.
E.


2.
Simplify the expression
A.
B.
C.
D.
E.


3.
Simplify the expression
A.
B.
C.
D.
E.


4.
Find the slope of the line given by the equation
A.
3
B.
5
C.
1/3
D.
1/5
E.
3/5


5.
What is the distance between the points (4, -5) and (1, 2)
A.
10
B.
C.
D.
E.


6.
Find the equation of the line that passes through the points (-4, 3) and (2, 0)
A.
B.
C.
D.
E.


7.
Let . Evaluate
A.
6
B.
5
C.
4
D.
3
E.
0


8.
If and then
A.
1
B.
3
C.
15
D.
9
E.
-3


9.
The real solutions of the equation are
A.
B.
C.
There are no real solutions
D.
E.


10.
The length of a rectangle is 3 less than 4 times its width. The area of the rectangle is 10. What is the width of the rectangle?
A.
8
B.
5
C.
2
D.
7
E.
4


11.
Solve the equation
A.
x = 2
B.
x = 8
C.
x = -2
D.
x = 3
E.
x = -15


12.
Solve the inequality
A.
B.
C.
D.
E.


13.
Write the expression as a single logarithm
A.
B.
C.
D.
E.


14.
Solve the equation for x
A.
1/10
B.
80
C.
5
D.
-18
E.
1


15.
Suppose that angle has measure . What is the radian measure of ?
A.
radians
B.
radians
C.
radians
D.
radians
E.
radians


16.
Let be an angle. Which of the following statements are true?
I.      II.      III.      IV.
A.
Only I is true
B.
Only I and IV are true
C.
Only II and III are true
D.
None of the statements are true
E.
All four statements are true


17.
Which function is correct for the graph    
A.
B.
C.
D.
E.


18.
Simplify the expression
A.
B.
C.
D.
E.


19.
Simplify the arithmetic expression by rationalizing the denominator
A.
B.
C.
D.
E.


20.
The number of cell phone subscribers in a certain country has steadily increased since 1985. A model that approximates the growth of cell phone subscribers is given by where S is in millions of people and x is the number of years since 1985. Use this model to approximate during which year the number of cell phone subscribers will exceed million for the first time. Hint: You might want to use a calculator for the arithmetic in this problem, but by judicious rounding of the coefficients, you could get an approximate answer that would give you the proper result.
A.
2009
B.
2010
C.
2011
D.
2012
E.
2013





STOP This is the end of the test. When you have completed all the questions and reviewed your answers, press the button below to grade the test.

Click "Grade the Test" button, but Do Not Exit The Page

If you do, all the results will be lost. Instead, make a note of any questions you got wrong and record a count of the number right that you knew for sure, the number you got right and thought you knew but weren't quite sure, the number you got wrong but would have gotten right if you hadn't made a careless error and the number you got wrong and really didn't know how to work.