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course Mth 158
All i did was copy and pasted my solutions and explanations. I hope that I did this correctly. If I have been doing this wrong please let me know for future purposes. Thanks so much
Question: `q003. If you are earning 8 dollars / hour, how long will it take you to earn $72? The answer may well be obvious, but explain as best you can how you reasoned out your result.YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: (type in your solution starting in the next line)
Answer: 9 hours worth of work.
Explanation: take the total amount earned and divide it by the amount of dollars per hour.
(72/8=9 hours)
confidence rating #$&*:el 3
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Self Critique: okay
Self Critique rating: level 3
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)
Answer: (8+3)*5=55
Explanation: using the order of operations (Parentheses, exponents, multiply, division, add, subtract). Therefore, in this particular problem you would begin with what is inside the parentheses and then multiply that number by the given 5.
Answer: 8+3*5= 23
Explanation: using the order of operations (Parentheses, exponents, multiply, division, add, subtract). Therefore, in this particular problem you would begin with the multiplication portion (3*5=15) and then add the given 8 to it.
confidence rating #$&*:el 3
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Self critique: okay
Self critique rating: level 3
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Question: `q005. Calculate (2^4) * 3 and 2^(4 * 3), indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results. Note that the symbol '^' indicates raising to a power. For example, 4^3 means 4 raised to the third power, which is the same as 4 * 4 * 4 = 64.
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Your solution:
Answer: (2^4)*3= 48
Explanation: using the order of operations (P,E,M,D,A,S); begin with what is in the parentheses and then move to the exponents and lastly multiply.
Answer: 2^(4*3)=4096
Explanation: using order of operations as mentioned in the previous problems; begin with what is in the parentheses (4*3)= 12. From there you will pick up the exponent portion (2^12); this is like writing out 2*2*2*2*2*2*2*2*2*2*2*2=4096
Confidence rating= level 3
Self Critique- okay
Self critique rating- level 3
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Question: `q006. Calculate 3 * 5 - 4 * 3 ^ 2 and 3 * 5 - (4 * 3)^2 according to the standard order of operations, indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results.
Answer: 3*5-4*3^2= -21
Explanation: using order of operations; begin with what is in exponential. 3^2= 9; therefore; 3*5-4*9; then you would multiply both sides since it is the next order of operation. 15-4*9; 15-36=-21
Answer: 3*5-(4*3)^2=-129
Explanation: using order of operations begin with what is inside parentheses; giving you (12)^2. Then from there you square the number 12. (12*12=144). Then the equation appears to be 3*5-144. From this point we then multiply since it is the next step of operation (15-144=-129).
confidence rating #$&*:el 3
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Self Critique: okay
Self critique rating: level
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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.
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 y=2(-2)+3 Multiply first and add last
-1 1 y=2(-1)+3 Multiply first then add last
0 3 y=2(0)+3 Multiply first then add last
1 5 y=2(1)+3 Multiply first then add last
2 7 y=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.
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.
Answer: after graphing the x and y coordinates on paper my graph appeared to be linear (in a straight line).
confidence rating #$&*:el 3
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Self critique: okay
Self critique rating: level 3
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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.
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 7 y=(-2)^2+3; -2*-2=4; 4+3=7
-1 4 y=(-1)^2=3;-1*-1=1+3=4
0 3 y=(0)^2=0+3=3
1 4 y=(1)^2=1+3=4
2 7 y=(2)^2; 2*2=4+3=7
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.
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.
Answer: after graphing the coordinates on scrap paper the graph appeared to be an upward parabola which is positive.
Confidence rating- 3
Self critique- okay
Self critique rating- level 3
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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.
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.
x y
1 16
2 32
3 64
4 128
All of these values are found the exact way as questions 7 & 8. Follow the order of operations (P,E,M,D,A,S).
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.
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.
Answer: after graphing the x and y coordinates on scrap paper I came to the conclusion that this graph too was linear (straight upward line).
Confidence rating- level 3
Self critique okay
Self critique rating- level 3
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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: the answer is equal to the original number because anytime you divide a number by one it remains its self. For example: 5/1=5
Confidence rating- level 3
Self critique- okay
Self critique rating- level 3
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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?
Answer: less than the original number because if you can keep on dividing any number into the original number but you are always going to get smaller portions of numbers. For example: 5/2=2.5
Confidence- level 3
Self critique- okay
Self critique rating- level 3
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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:
Divide a positive number by 1, the result is the same as your original number.
Confidence: level 0
Self Critique: okay
Self critique rating: 1
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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 Self Critique to problem number 12. Simply because I over analyzed this question. I really wasn’t understanding entirely how a positive number could be less than one because that just leaves 0. I rate myself critique as….. a level 0. ####.
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Self-critique (if necessary):
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Self-critique rating:
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You deleted parts of the original document, which makes it impossible for me to review it in as much detail as I prefer.
However I can tell that you're doing OK with this, so there's not reason to ask you to resubmit it for a more thorough review.
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