# Intermediate Algebra Midterm Exam

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.

C=(2/3)Q+(1/3)M

 ? Quizzes 1 Midterm Class Grade points • max ??? ?? • percent

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 .

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