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Find all real solutions of the following equation. Show all algebraic work, including the check for extraneous solutions.  

When one organism benefits and the other is unaffected, the symbiosis is called _______

Solve the quadratic equation by completing the square.  Report all exact, simplified solutions, both real and complex.  Express imaginary numbers in terms of  as necessary. Show all algebraic work.

Find the inverse of . Report your answer using appropriate function notation. Show all algebraic work.

Let  and let

MGF 1106  TEST #4 B : Chapter 11 KEEP YOUR WORK NEAT, ORGANIZED, AND NUMBERED ON YOUR SCRAP PAPER IN CASE THERE ARE ANY  YOU WANT ME TO LOOK AT FOR PARTIAL CREDIT. If there are any questions you missed and want me to review for possible partial credit, you will have 5 minutes after you submit your test to Honorlock to then scan your work and upload to Canvas Assignments .

An architect is allowed 24 square yards of floor space to add a small bedroom to a house.  Because of the room’s design in relationship to the existing structure, the width of the rectangular floor must be 6 yards less than three times the length. Find the length and width of the rectangular floor that the architect is permitted.  Begin by sketching a picture of the field and labeling the width and length of the room in terms of . Be sure to include appropriate units.    

Find all real solutions of the following equation. Show all algebraic work, including the check for extraneous solutions.  

Let  and let

Solve the absolute value inequality.  Report your answer in interval notation.  Remember, you must rewrite your inequality as a compound inequality (without the absolute value bars) as a part of your process. Show all algebraic work.