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MTH 111-01 College Algebra Exam 2, Part Two; Spring 2024

Print and answer all of the following questions. When completed, upload through Moodle by Sunday, February 4 at 11:55pm Eastern time. No late submissions will be accepted.

This part of the exam is worth 25 of the 100 possible points for Exam 1. Each problem is worth 5 points for a total of 25 points.

ALL WORK MUST BE SHOWN TO RECEIVE FULL CREDIT. Unsupported answers will not receive credit. Good luck!

Name:

1. Evaluate the quotient, and write the result in the form a+ bi.

4− 2i

2 + 3i

2. Find all real solutions of the equation x = √ x+ 7− 1.

3. Find all real solutions of the equation x+ 3x1/2 − 4 = 0.

1

2

MTH 111 College Algebra, Exam 2, Part Two, Spring 2024, Page 2 of 2

Name:

4. Sketch a graph of the function f(x) = −x2 + 3 by first making a table.

5. The monthly cost of driving a car depends on the number of miles driven. Melanie found that in December her driving cost was $440 for 900 miles and in August her cost was $405 for 800 miles. Assume that there is a linear relationship between the monthly cost C of driving a car and the distance x driven. a. Find a linear function C that models the cost of driving x miles per month. b. At what rate does Melanie’s cost increase for every additional mile she drives?