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MTH111Exam1Part2.pdf

MTH 111 College Algebra Exam 1, Part 2

Name ______________________

Student ID ______________________

Print and answer all of the following questions in your own handwriting. Be sure that all answers are legible. Typed submissions will not be accepted. When completed, scan as a PDF document, and upload through Moodle by the due date listed. If you have questions about printing and/or submitting the assignment, please send those to me no later than 12 hours prior to the due date. No late submissions will be accepted. ALL WORK MUST BE SHOWN TO RECEIVE FULL CREDIT. Unsupported answers will not receive credit. Please clearly mark your final answer. This part of the exam is worth 25 of the 100 points possible for Exam 1.

1. Factor 3𝑥 − 2𝑥 − 5𝑥 completely. Show your work.

2. Find the equation of the line that passes through the origin and is parallel to

𝑦 = − 𝑥 − 10.

3. Determine if the equation represents a circle, a point, or has no graph: 𝑥 + 𝑦 − 8𝑥 − 6𝑦 + 25 = 0. If it does represent a circle, determine the center and radius.

MTH 111 College Algebra Exam 1, Part 2

Name ______________________

Student ID ______________________

4. Put each fractional expression into standard form by rationalizing the denominator. (Simplify

your answer completely.)

a. √

b.

c. √

5. Two fishing boats depart a harbor at the same time, one traveling east, the other traveling south.

The eastbound boat travels at a speed of 6 miles per hour. After four hours, the boats are 30 miles

apart. How fast is the southbound boat traveling?