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course MTH 152
1/9/12 4:43PM
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. YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: (type in your solution starting in the next line)
You would make $32, finding this answer you simply times the rate of pay by the hours worked. (8*4=32)
confidence rating #$&*:
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Self-critique (if necessary):OK
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Self-critique Rating: OK
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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)
$14/hour, finding this answer you take your total earnings of $168 and divide that by the number of hours in which you worked. (168/12=14)
confidence rating #$&*:
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Self-critique (if necessary):OK
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Self-critique Rating: OK
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Question: `q003. If you are earning 8 dollars / hour, how long will it take you to earn $72? The answer may well be obvious, but explain as best you can how you reasoned out your result.
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Your solution: (type in your solution starting in the next line)
It would take you 9hours, finding this answer you take your earnings and divide that by the rate of pay your are receiving. (72/8=9)
confidence rating #$&*:
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Self-critique (if necessary):OK
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Self-critique Rating: 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.
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Your solution: (type in your solution starting in the next line)
You will receive two different answers with these two problems. First problem: You can take (8+3) and get 11, then taking 11 and multiplying by 5 which gives you 55. Second problem: You take 3*5 because of order of operation, and you get 15 then taking 15 and adding that to 8 giving you 23.
confidence rating #$&*:
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Self-critique (if necessary): OK
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Self-critique Rating: OK
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Question: `q005. Calculate (2^4) * 3 and 2^(4 * 3), indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results. Note that the symbol '^' indicates raising to a power. For example, 4^3 means 4 raised to the third power, which is the same as 4 * 4 * 4 = 64.
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Your solution:
(2^4)*3 means: 2*2*2*2 = 16 then 16*3 = 48
2^(4*3) means: 2^(12) = 2^ 12 = 2*2*2*2*2*2*2*2*2*2*2*2= 4096
confidence rating #$&*:
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Self-critique (if necessary):OK
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Self-critique Rating: 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.
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Your solution:
Solving by using order of operations
3*5-4*3^2
15-4*9
15-36 = -21
3*5-(4*3)^2
3*5-12^2
15-144 = -129
confidence rating #$&*:
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Self-critique (if necessary): OK
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Self-critique Rating: OK
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Question: `q007. Let y = 2 x + 3. (Note: Liberal Arts Mathematics students are encouraged to do this problem, but are not required to do it).
Evaluate y for x = -2. What is your result? In your solution explain the steps you took to get this result.
My solution for x= -2 is -1. I took y=2x+3 and put -2 in place of x.
Evaluate y for x values -1, 0, 1 and 2. Write out a copy of the table below. In your solution give the y values you obtained in your table.
-1=2(-2)+3, 1=2(-1)+3, 3=2(0)+3, 5=2(1)+3, 7=2(2)+3
x
y
-2
-1
-1
1
0
3
1
5
2
7
In your solution, describe your graph in words, and indicate which of the graphs depicted previously your graph most resembles. Explain why you chose the graph you did.
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Your solution:
My graph starts at the bottom of the graph and slowly starts moving out and up which making it most resembles “odd power” but could also resemble “Fractional positive power”. I chose the line graph because its the easiest to noticed change in slopes.
confidence rating #$&*:
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Self-critique (if necessary): OK
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Self-critique Rating: OK
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Question: `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.
My solution for y= x=-2 is 7. I took y=x^2+3 and put -2 in place of x.
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.
7= -2^2 + 3, 4= -1^2 + 3, 3= 0^2 + 3, 4= 1^2 + 3, 7= 2^2 + 3
x
y
-2
7
-1
4
0
3
1
4
2
7
In your solution, describe your graph in words, and indicate which of the graphs depicted previously your graph most resembles. Explain why you chose the graph you did.
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Your solution:
My graph starts at the bottom of the graph and slowly starts moving out and up which making it most resembles “odd power” but could also resemble “Fractional positive power”. I chose the line graph because its the easiest to noticed change in slopes.
confidence rating #$&*:
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Self-critique (if necessary): OK
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Self-critique Rating: OK
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Question: `q009. Let y = 2 ^ x + 3. (Note: Liberal Arts Mathematics students are encouraged to do this problem, but are not required to do it).
Evaluate y for x = 1. What is your result? In your solution explain the steps you took to get this result.
My solution for y= x=1 is 5. I took y=2^x+3 and put 1 in place of x.
Evaluate y for x values 2, 3 and 4. Write out a copy of the table below. In your solution give the y values you obtained in your table.
5 = 2 ^ 1 + 3, 7= 2 ^ 2 + 3, 11= 2 ^ 3 + 3, 19= 2 ^ 4 + 3
x
y
1
5
2
7
3
11
4
19
In your solution, describe your graph in words, and indicate which of the graphs depicted previously your graph most resembles. Explain why you chose the graph you did.
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Your solution:
My graph starts at the bottom of the graph and slowly starts moving out and up which making it most resemble“Fractional positive power”. I chose the line graph because its the easiest to noticed change in slopes.
confidence rating #$&*:
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Self-critique (if necessary): OK
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Self-critique Rating: OK
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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?
Your solution
When you divide a number by 1, you get the original number. For example, if you divide 1 by 9 you are always going to get 9. Any number divide by 1, you will get that number.
confidence rating #$&*:
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Self-critique (if necessary): OK
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Self-critique Rating: OK
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Question: `q011. If you divide a certain positive number by a number greater than 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?
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Your solution:
You will get less than the original number because you are dividing that number by another number. Meaning you are putting that number into parts so to speak. For example, 6/2...2 will go into 6 a total of 3 times, which therefore 3 is less than 6.
confidence rating #$&*:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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Self-critique (if necessary): OK
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Self-critique Rating: OK
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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:
Same as previous question, the more you have the less of a number you get.
confidence rating #$&*:
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Self-critique (if necessary): OK
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Self-critique Rating: OK
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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.
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
I honestly felt I answered all question on point to the given answers. However in some question I could have went into more detail, but for the most part I thought I got the point across to how the question could be answered. If you can find something that I need to work on, please let me know...I like to improve my work in any way I can. "
Self-critique (if necessary):
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Self-critique rating:
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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.
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
I honestly felt I answered all question on point to the given answers. However in some question I could have went into more detail, but for the most part I thought I got the point across to how the question could be answered. If you can find something that I need to work on, please let me know...I like to improve my work in any way I can. "
Self-critique (if necessary):
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Self-critique rating:
#*&!
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See my note on the previous posting. Be sure not to delete anything from the original file.
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