Category: Test #2 Solutions (Page 2 of 2)

1. (1 point) solve  -x^2-3x <= -10

2) First solve by adding +10 to both sides of the inequality

-x^2-3x+10<=0

3) Then you need to factor out -1 in the the inequality to make the leading coefficient positive.

-1(x^2+3x-10)<=0

4) After that you need to factor the inequality of what can multiply into -10 and add up to +3

-1(x+5)(x-2)<=0

5) Then you need to set them both equal to zero and place -1 in front of both of them

-1(x+5)=0 and -1(x-2)=0

6) Once you do that then factor in the -1

-x-5=0 and -x+2=0

7)  Then solve for x

x=-5 and x=2

8) Make sure to switch the inequality

x>=-5 and x>=2

9) Write your answer in interval notation

Answer=(-inf, -5] U [2, inf)

Test #2 grades are posted in Blackboard.

The instructions for the Test #2 Solutions OpenLab assignment are identical to those for Test #1 Solutions. If you choose a multiple-choice or true/false question, show all your work to explain your answer as if it were a regular question. Don’t forget to select the category Test #2 Solutions from the right side of the screen before you submit your post. Solutions are due by 11:59pm on Wednesday, November 6.

There is another column in Blackboard’s gradebook called Mid Semester. These grades are designed just to give you a rough idea of how you’re doing in the course so far; they will be kept on record by the math department but not reported to the college. These grades were determined by taking the average of your first two test grades. They do not include Webwork, quizzes, or participation but they still give a good indication of the grade you can expect to receive in the course. The possible grades are

• P (passing): 60% or higher test average (you are expected to pass the course)
• BL (borderline): between 50 and 60% test average (you are not currently passing but may pass the course with some improvement)
• U (unsatisfactory): below 50% test average (you are not expected to pass the course…but let’s talk)

The last day for you to withdraw officially from the course is Tuesday, November 5. Anyone who remains in the course after this date must continue to attend up until the final exam. If you are considering whether to stay in the class and would like to discuss your decision with me, please see me tomorrow (Thursday) after class.