First 13 questions

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course Mth158

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)

The answer is 9 hours. When answering this problem, you need to realize that the person is making 8 dollars an hour, since we need to know how long it would take to make 72 dollars, you simply divide 72 into 8, this gives you and answer of 9 hours of work at 8 dollars and hour, earns 72 dollars. 8x9= 72

Confidence: 3, Self-critique, 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)

In both problems you use an acronym, Please (Parenthesis) Excuse (exponents) My (multiplication) Dear ((division) Aunt (Addition) Sally. In the first problem you would need to do the math inside the parenthesis first 8+3= 11, then 11x5= 55, the second problem has no parenthesis, so you would multiply 1st, 3x5 =15, and then the addition 15+8=23.

Confidence: 2 Self-Critique 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:

The first problem you again start with parenthesis, then exponents, so 2x2x2x2= 16 then multiplication 16 x3=48. The second question you start with parenthesis 4x3=12, then exponents 2^12= 2x2x2x2x2x2x2x2x2x2x2x2=4096

Confidence: 3 Self-Critique ok

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:

The first question you start with exponents, 3x3=9, 3x5-4x9, then multiply 15-36 = -21, because the sign of the larger is negative, you subtract and keep sign of the larger.

The second question start with parenthesis 4x3=12. Then exponents 12^2, which is 12x12=144, then multiplication 5x3=15 so 15-144=-129 again subtracting but keeping sign of the larger.

Confidence: 3

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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.

y=2(-2)=3 = -4 Multiplying, keeping negative sign, then -4+3, using the negative number rules, you subtract keeping sign of the larger.

•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 y=2(-1) +3 y=1

0 y=2(0) +3 y=3

1 y=2(1) =3 y=5

2 y=2(2) + 3 Y=7

After plotting on a graph, you have a linear shape, that is a straight line on the graph.

Confidence: 2 Self-critique- had to review the negative number rules, and how to plot on a graph, but after review, I understood the problem.

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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.

2^1+3 2=2+3=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.

2 y=2^2=3 y=7

3 y=2^3 +3 y=11

4 y=2^4+3 y=19

Confidence: 2

Self Critique: On the last question, I had to do some brushing up, and for this question, I did all the math correctly, plotted on my graph, but I chose linear. After reading the explanation I see my error. If the points were further apart I think I would have seen the definite curve in the exponential line.

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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?

My answer is…. Equal to original number, because dividing any number by 1 is itself. As in 45/1=1

Confidence: 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?

My answer is….less than the original number, if you divide something it is smaller. 12/4=3

Confidence: 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?

My answer….greater than the original number. As in 0.5/15, the answer is 30.

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.

Question 9: Self Critique: On the last question, I had to do some brushing up, and for this question, I did all the math correctly, plotted on my graph, but I chose linear. After reading the explanation I see my error. If the points were further apart I think I would have seen the definite curve in the exponential line.

Self-critique (if necessary):

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Self-critique rating:

First 13 questions

#$&*

course Mth158

Your solution: (type in your solution starting in the next line)

Confidence: 3, Self-critique, 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)

Confidence: 2 Self-Critique ok

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Your solution:

Confidence: 3 Self-Critique ok

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Your solution:

The first question you start with exponents, 3x3=9, 3x5-4x9, then multiply 15-36 = -21, because the sign of the larger is negative, you subtract and keep sign of the larger.

The second question start with parenthesis 4x3=12. Then exponents 12^2, which is 12x12=144, then multiplication 5x3=15 so 15-144=-129 again subtracting but keeping sign of the larger.

Confidence: 3

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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.

y=2(-2)=3 = -4 Multiplying, keeping negative sign, then -4+3, using the negative number rules, you subtract keeping sign of the larger.

•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 y=2(-1) +3 y=1

0 y=2(0) +3 y=3

1 y=2(1) =3 y=5

2 y=2(2) + 3 Y=7

After plotting on a graph, you have a linear shape, that is a straight line on the graph.

Confidence: 2 Self-critique- had to review the negative number rules, and how to plot on a graph, but after review, I understood the problem.

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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.

2^1+3 2=2+3=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.

2 y=2^2=3 y=7

3 y=2^3 +3 y=11

4 y=2^4+3 y=19

Confidence: 2

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My answer is…. Equal to original number, because dividing any number by 1 is itself. As in 45/1=1

Confidence: 3

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My answer is….less than the original number, if you divide something it is smaller. 12/4=3

Confidence: 3

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My answer….greater than the original number. As in 0.5/15, the answer is 30.

Self-critique (if necessary):

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Self-critique rating:

#*&!

First 13 questions

#$&*

course Mth158

Your solution: (type in your solution starting in the next line)

Confidence: 3, Self-critique, 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)

Confidence: 2 Self-Critique ok

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Your solution:

Confidence: 3 Self-Critique ok

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Your solution:

The first question you start with exponents, 3x3=9, 3x5-4x9, then multiply 15-36 = -21, because the sign of the larger is negative, you subtract and keep sign of the larger.

The second question start with parenthesis 4x3=12. Then exponents 12^2, which is 12x12=144, then multiplication 5x3=15 so 15-144=-129 again subtracting but keeping sign of the larger.

Confidence: 3

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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.

y=2(-2)=3 = -4 Multiplying, keeping negative sign, then -4+3, using the negative number rules, you subtract keeping sign of the larger.

•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 y=2(-1) +3 y=1

0 y=2(0) +3 y=3

1 y=2(1) =3 y=5

2 y=2(2) + 3 Y=7

After plotting on a graph, you have a linear shape, that is a straight line on the graph.

Confidence: 2 Self-critique- had to review the negative number rules, and how to plot on a graph, but after review, I understood the problem.

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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.

2^1+3 2=2+3=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.

2 y=2^2=3 y=7

3 y=2^3 +3 y=11

4 y=2^4+3 y=19

Confidence: 2

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My answer is…. Equal to original number, because dividing any number by 1 is itself. As in 45/1=1

Confidence: 3

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My answer is….less than the original number, if you divide something it is smaller. 12/4=3

Confidence: 3

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My answer….greater than the original number. As in 0.5/15, the answer is 30.

Self-critique (if necessary):

------------------------------------------------

Self-critique rating:

#*&!#*&!

First 13 questions

#$&*

course Mth158

Your solution: (type in your solution starting in the next line)

Confidence: 3, Self-critique, 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)

Confidence: 2 Self-Critique ok

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Your solution:

Confidence: 3 Self-Critique ok

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Your solution:

The first question you start with exponents, 3x3=9, 3x5-4x9, then multiply 15-36 = -21, because the sign of the larger is negative, you subtract and keep sign of the larger.

The second question start with parenthesis 4x3=12. Then exponents 12^2, which is 12x12=144, then multiplication 5x3=15 so 15-144=-129 again subtracting but keeping sign of the larger.

Confidence: 3

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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.

y=2(-2)=3 = -4 Multiplying, keeping negative sign, then -4+3, using the negative number rules, you subtract keeping sign of the larger.

•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 y=2(-1) +3 y=1

0 y=2(0) +3 y=3

1 y=2(1) =3 y=5

2 y=2(2) + 3 Y=7

After plotting on a graph, you have a linear shape, that is a straight line on the graph.

Confidence: 2 Self-critique- had to review the negative number rules, and how to plot on a graph, but after review, I understood the problem.

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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.

2^1+3 2=2+3=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.

2 y=2^2=3 y=7

3 y=2^3 +3 y=11

4 y=2^4+3 y=19

Confidence: 2

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My answer is…. Equal to original number, because dividing any number by 1 is itself. As in 45/1=1

Confidence: 3

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My answer is….less than the original number, if you divide something it is smaller. 12/4=3

Confidence: 3

*********************************************

My answer….greater than the original number. As in 0.5/15, the answer is 30.

Self-critique (if necessary):

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Self-critique rating:

#*&!#*&!#*&!

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