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course Mth 158
I have been a little confused on how to even use this whole setup. I believe I have figured it out. I did have a few problems with some of the math. 2/16 around 11:53 am.
Question: `q001. If you are earning money at the rate of 8 dollars / hour and work for 4 hours, how much money do you make during this time? Answer in such a way as to explain your reasoning as fully as possible. A solution to this problem appears several lines below, but enter your own solution before you look at the given solution.
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Your solution: (type in your solution starting in the next line)
You will make 32 dollars for the 4 hours you work. 8(4) or 8x4
confidence rating #$&*:
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OK
Question: `q002. If you work 12 hours and earn $168, then at what rate, in dollars / hour, were you making money?
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Your solution: (type in your solution starting in the next line)
You were making 14 dollars an hour. 168/12=14
confidence rating #$&*:
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OK
Question: `q003. If you are earning 8 dollars / hour, how long will it take you to earn $72? The answer may well be obvious, but explain as best you can how you reasoned out your result.
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Your solution: (type in your solution starting in the next line)
It will take you 9 hours to make $72. 72/8=9
confidence rating #$&*:
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OK
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Question: `q004. Calculate (8 + 3) * 5 and 8 + 3 * 5, indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results.
Your solution: (type in your solution starting in the next line)
(8+3)*5
(11)*5
55
8+3*5
8+15
23
confidence rating #$&*:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
OK
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Question: `q005. Calculate (2^4) * 3 and 2^(4 * 3), indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results. Note that the symbol '^' indicates raising to a power. For example, 4^3 means 4 raised to the third power, which is the same as 4 * 4 * 4 = 64.
Your solution:
(2^4)*3
(16)*3
48
2^(4*3)
2^(12)
4096
confidence rating #$&*:
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OK
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Question: `q006. Calculate 3 * 5 - 4 * 3 ^ 2 and 3 * 5 - (4 * 3)^2 according to the standard order of operations, indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results.
Your solution:
3*5-4*3^2
15-12^2
15-144
-129
3*5-(4*3)^2
3*5-(12)^2
15-(12)^2
3^2
9
confidence rating #$&*:
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Self-critique (if necessary): Havn't done this in a while, I can see I am quite rusty at it. I also noticed I got the top one mixed up with the bottom one and apparently I actually had no clue what I was doing with the top one.
Task: `q007. Let y = 2 x + 3. (Note: Liberal Arts Mathematics students are encouraged to do this problem, but are not required to do it).
Evaluate y for x = -2. What is your result? In your solution explain the steps you took to get this result.
Evaluate y for x values -1, 0, 1 and 2. Write out a copy of the table below. In your solution give the y values you obtained in your table.
x y y= 2x+3
-2
-1
0
1
2
Your response:
confidence rating #$&*:
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Self-critique: I just do not remember how to do this at all.
`q008. Let y = x^2 + 3. (Note: Liberal Arts Mathematics students are encouraged to do this problem, but are not required to do it).
Evaluate y for x = -2. What is your result? In your solution explain the steps you took to get this result.
Evaluate y for x values -1, 0, 1 and 2. Write out a copy of the table below. In your solution give the y values you obtained in your table.
x y
-2 -1
-1 0
0 1
1 2
2 3
Sketch a graph of y vs. x on a set of coordinate axes resembling the one shown below. You may of course adjust the scale of the x or the y axis to best depict the shape of your graph.
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Your solution:
confidence rating #$&*:I just do not remember how to do any of the graphs.
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Self-critique: I still do not remember how to do this.
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Question: `q010. If you divide a certain positive number by 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?
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Your solution: It is equal to the original number.
confidence rating #$&*:
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Self-Critique: OK
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Question: `q011. If you divide a certain positive number by a number greater than 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?
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Your solution: I depends on what original number you use.
confidence rating #$&*:
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Self-critique: I got a little confused on this one.
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Question: `q012. If you divide a certain positive number by a positive number less than 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?
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Your solution: The result will be great than the orignal number.
confidence rating #$&*:
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Self-critique: This also confused me.
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Question: `q013. Students often get the basic answers to nearly all, or even all these questions, correct. Your instructor has however never seen anyone who addressed all the subtleties in the given solutions in their self-critiques, and it is very common for a student to have given no self-critiques. It is very likely that there is something in the given solutions that is not expressed in your solution.
This doesn't mean that you did a bad job. If you got most of the 'answers' right, you did fine.
However, in order to better understand the process, you are asked here to go back and find something in one of the given solutions that you did not address in your solution, and insert a self-critique. You should choose something that isn't trivial to you--something you're not 100% sure you understand.
If you can't find anything, you can indicate this below, and the instructor will point out something and request a response (the instructor will select something reasonable, but will then expect a very good and complete response). However it will probably be less work for you if you find something yourself.
Your response should be inserted at the appropriate place in this document, and should be indicated by preceding it with ####.
As an answer to this question, include a copy of whatever you inserted above, or an indication that you can't find anything.
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Very good.
Note, however, that you need to submit the entire document, without deleting anything.
In other words, copy the indicated part of the document, insert your answers in the specified places, and submit without removing anything.
The program I'm using to review these files relies on certain codes in the original document, so that I can very quickly locate your responses without having to visually scan the document. This speeds the process up greatly, giving me more time to give students the assistance they need.
No need to repeat this document, but be sure to follow this practice on future submissions.
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