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course MTH 164
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. YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: 8 dollars times 4 hours, so the answer will be 32 dollars
Self-critique : 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: $168 divided by 12 equals 14 dollars and hour
Self-critique :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: You would divide $72/$8= 9 so it would take 9 hours to make $72
Self-critique: OK
confidence rating #$&*:
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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: first do 8+3= 11 then times 5 which will = 55
First do 3*5=15 then + 8 which = 23
Self-critique: OK
confidence rating #$&*:
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Question: `q005. Calculate (2^4) * 3 and 2^(4 * 3), indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results. Note that the symbol '^' indicates raising to a power. For example, 4^3 means 4 raised to the third power, which is the same as 4 * 4 * 4 = 64.
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Your solution: (2^4) * 3
2^4= 16 then times by 3 = 48
2^(4 * 3) first 4*3=12
2^12= 2*2*2*2*2*2*2*2*2*2*2*2= 4096
Self-critique: OK
confidence rating #$&*:
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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:
First 3*5 and 4*9 need to be found then subtract, 3*5=15 and 4*9= 36
Then 3*5-4*3 ^2 =3*5-4*9=15-36=-21
3*5-(4*3)^2=3*5-12^2= 3*5-144=15-144= -129
Self- Critique: 2
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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.
Solution:
x y
-2 -1
-1 1
0 3
1 5
2 7
Calculation: if y = 2x+3
2(-3)+3=-4+3=-1
2(-1)+3=-2+3=1
2(0)+3=2+3=3
2(1)+3=2+3=5
2(2)+3=4+3=7
This is a linear graph
Self-Critique: 2 I understand it but its hard for me to explain
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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.
Evaluating y=x^2+3 at five points
If x=-2 then y=x^2+3=(-2)^2+3=4+3=7
=-1 then y=x^2+3=(-1)^2+3=1+3=4
=0 then y=x^2=3=(0)^2+3=0+3=3
=1 then y=x^2=3=(1)^2+3=1+3=4
=2 then y=x^2=3=(2)^2+3=2+3=7
x y
-2 7
-1 4
0 3
1 4
2 7
Lowest point: (0,3) quadratic graph
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Self-critique Rating: 2, I am not very good at explaining the graph or telling what needs to be done in order to get to the end
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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.
When x =1 y= 2^1+3=2+3=5
When x =2 y= 2^2+3=4+3=7
When x =3 y= 2^3+3=8+3=11
When x =4 y= 2^4+3=16+3=19
x y
1 5
2 7
3 11
4 19
This is an exponential graph because it increases left to right
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Self-critique Rating:2
I am not very good at explaining the graph or telling what needs to be done in order to get to the end
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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:
If you divide a positive number by 1 the result will be the same as the original number
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Self-critique Rating: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?
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Your solution: it will be less than the original number
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Self-critique Rating: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: the result is greater than the original number
Self-critique Rating:3
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Self-critique (if necessary):
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Self-critique rating:
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