#$&*
course Mth 272
05-19-2013 ~6:44 PM
`q003 - If you are earning $8 / hour, how long will it take to earn $72? The answer may well be obvious, but explain as best you can how you reasoned out your result. -Your solution: 9 hours - I divided $72 by $8 / 1 hour, cancelling out the ‘dollars’ unit leaving only the ‘hours’ unit.
- Confidence rating: 3
`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: For (8+3)*5, I added 8 and 3 together, then multiplied the sum by 5, giving 55. For 8 + 3 * 5, I multiplied 3 times 5, then added 8, giving 23. The difference in the results being there were parentheses in the first formula.
- Confidence rating: 3
`q005 - Calculate (2^4) * 3 and 2^(4*3), indicating the order of your steps. Explain the reasons for the difference in your results.
- Your solution: For (2^4) * 3, I took 2 to the fourth power, then multiplied it by 3, giving 48. For 2^(4*3), I multiplied 4 times 3, then raised 2 by the product, giving 4096. The difference in the results is where the parentheses are located in the problems.
- Confidence rating: 3
`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 the reasons for the difference in your results.
- Your solution: For 3 * 5 - 4 * 3^2, I first raised 3 to the power of 2, then multiplied that by 4, multiplied 3 by 5, then subtracted the two, giving -21. For 3 * 5 - (4*3)^2, I multiplied 4 by 3, raised it to the power of 2, multiplied 3 by 5, then subtracted the two, giving -129. The difference in my results is due to the parentheses.
- Confidence rating: 3
`q007 - Let y = 2x + 3.
- Evaluate y for x = -2. What is your result? In your solution explain the steps you took to get this result.
o Your solution: I inserted -2 as ‘x’ in y = 2x + 3, which gave the answer of -1.
- 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.
o Your solution: x y
-2 -1
-1 1
0 3
1 5
2 7
- Sketch a graph of y vs. x on a set of coordinate axes resembling the one shown below.
o Your solution: The graph is linear because the slope is the same for each point.
o Confidence rating (for all answers): 3
- #### Self-critique: I did not explain in elaborate detail what I actually did.
o y = 2x + 3 y = 2(-1) + 3 y = -2 + 3 y = 1
`q008 - Let y = x^2 + 3.
- Evaluate y for x = -2. What is your result? In your solution, explain the steps you took to get this result.
o Your solution: I inserted -2 as ‘x’ in y = x^2 + 3, which gave the answer of 7.
- 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.
o Your solution: x y
-2 7
-1 4
0 3
1 4
2 7
- Sketch a graph of y vs. x on a set of coordinate axes resembling the one shown below.
o Your solution: The graph resembles closely to the quadratic/parabolic graph because it symmetrical on either side of the minimum point.
o Confidence rating (for all answers): 3
`q009 - Let y = 2^x + 3.
- Evaluate y for x = 1. What is your result? In your solution explain the steps you took to get this result.
o Your solution: I inserted 1 as ‘x’ in y = 2^x + 3, which gave the answer of 5.
- 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.
o Your solution: x y
1 5
2 7
3 11
4 19
- Sketch a graph of y vs. x on a set of coordinate axes resembling the one shown below.
o Your solution: The graph resembles closely to the exponential graph because it has an exponential pattern.
o Confidence rating (for all answers): 3
`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: Equal to the original number
- Confidence rating: 3
`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?
- Your solution: Less than the original number
- Confidence rating: 3
`q012 - If you divide a certain positive number by a 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?
- Your solution: Greater than the original number
- Confidence rating: 3
`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.
- Your solution: #### Self-critique: I did not explain in elaborate detail what I actually did.
o y = 2x + 3 y = 2(-1) + 3 y = -2 + 3 y = 1
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