1. For a cupboard door to meet specifications at a
carpentry shop, the width must be within
of the expected width of the door. Let x
represent the door width (in inches). Find an inequality that expresses the
range of acceptable widths for doors that are
wide, and find the minimum acceptable
width of those doors.
[A] 
[B] 
[C] 
[D] 
[E] None of these
2. Find the interval (or intervals) on which the given expression is defined.
[A] 
[B] 
[C] 
[D] 
[E] None of these
3. Add and find the simplified expression.
[A] 
[B] 
[C] 
[D] 
[E] None of these
4. Determine the graph of the equation.
[A] 
[B] 
[C] 
[D] 
[E] None of these
5. Find the points of intersection (if any) of the graphs of the equations.
[A] 
[B] 
[C] 
[D] No points of intersection
[E] None of these
6. The demand and supply equations for a scientific calculator are given by
where p is the price in dollars and x represents the number of units, in tens of thousands. Find the price (to the nearest penny) that creates an equilibrium point for this market.
[A] 
[B] 
[C] 
[D] 
[E] None of these
7. Estimate the slope of the line.
[A] 
[B] 
[C] 
[D] 
[E] None of these
8. Find an equation of the line that passes through the given point and has the given slope.
,
[A] 
[B] 
[C] 
[D] 
[E] None of these
9. In 1993 the average price of a house in a Portland,
Oregon, neighborhood was $96,000. By 1999, the average price of a home was
$114,000. Find a linear model for the price of such a house, P, if
represents the year
1993.
[A] 
[B] 
[C] 
[D] 
[E] None of these
10. Use the vertical line test to determine which is the graph of a function.
[A] 
[B] 
[C] 
[D] 
[E] None of these
11. Evaluate the function at the specified value of the independent variable and simplify.
[A] 
[B] 
[C] 
[D] 
[E] None of these
12. Given
and
find
[A] 
[B] 
[C] 
[D] 
[E] None of these
13. Find the limit (if it exists).
where
[A] 1
[B] 2
[C] 5
[D] The limit does not exist.
[E] None of these
14. Find the limit.
[A] 
[B] 
[C] 
[D] The limit does not exist.
[E] None of these
15. Find the limit (if it exists).
[A] 
[B] 
[C] 
[D] The limit does not exist.
[E] None of these
16. Use the graph to find the limit (if it exists).
.
[A] –6
[B] –5
[C] 1
[D] The limit does not exist.
[E] None of these
17. Identify any removable and any non-removable
discontinuities of the function: 
[A] Removable at
non-removable at
[B] Removable at
non-removable at
[C] Removable at
[D] Non-removable at
[E] None of these
18. Determine where
is continuous.
[A] At all x except
and
[B] At all x except
and
[C] At all x except
and
[D] At all x except
and
[E] None of these
19. Find the constants a and b so that the function is continuous on the entire real number line.
[A] 
[B] 
[C] 
[D] 
[E] None of these
20. Determine the nature of the slope of the line tangent to the graph at the indicated point.
[A] Zero
[B] No slope
[C] Positive
[D] Negative
[E] None of these
Answers to respective questions:
A,E,A,C,B
E,A,D,D,A
A,D,A,C,C
C,B,C,B,C