This is a sample exam.
The actual exam will be similar in structure.
1. Look through the exam before you begin.
2. The exam consists of 5 problems of varying difficulty. There is an extra
credit problem worth
6 points.
3. Show all work if you expect to receive partial credit.
4. Simplify. Give a decimal answer only after simplification.
5. NO SHARING CALCULATORS . Also keep out of sight all electronic devices except
your calculator.
That means no cell phones and no headphones.
6. Turn in scratch paper but make sure your work to be graded is on the exam –
this is your
responsibility.
Midterm Class Grade
C=(2/3)Q+(1/3)M
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See me immediately if the point totals above do not agree
with your records.
1. (4 pts each) Simplify the following rational
expressions . Use a common denominator if neces-sary.
Factor if necessary .
2. (30 pts) (a) Find the slope of the line containing the
two points P(-4, 3…) and
Q(0,-3). Use rise-overrun to sketch the line . Label this line 1.
(2 pts) slope:
(3 pts) point- slope form :
(2 pts) slope- intercept form :
(1 pt) y-intercept:
(2 pts) x-intercept:
(c) (10 pts) Be sure to fill in the grid and and label the
points and lines.
(b) Use rise-over-run to sketch the line perpendicular to
line 1 and through the point R(3,2). Label
this line 2.
(2 pts) perpendicular slope:
(3 pts) point-slope
form:
(2 pts) slope-intercept
form:
(1 pt) y-intercept:
(2 pts) x-intercept:
3. (a) (3 pts each) Let f(x)=x2-5x+2 and
Find the following. If the result is
undefined, say so. No decimals .
(b) (2 pts each) Write the domain of each function in
interval notation.
4. (a) (2 pts each) Simplify the following, using absolute
values where necessary.
(b) (3 pts each) Use rational exponents to simplify .
Assume all variables nonnegative.
Write your
answers using radical notation , if necessary.
5. (3 pts each) Rationalize the denominators .
6. Extra Credit. (6 pts) Solve
CHECK YOUR SOLUTION .
