First 12 Questions

#$&*

course Phy231

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)

Total= hours worked * earned/ hour

Therefore 4*8=32 so you made 32 dollars

confidence rating #$&*: 3

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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)

Total= hours worked * earned/hour

Therefore: 168= 12 * earned/hour

Earned/hour= 168/12

$14/hour

confidence rating #$&*: 3

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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)

Total= hours worked* earned/hour

72= hours worked * 8

Hours worked= 72/8

9 hours

confidence rating #$&*: 3

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

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)

(8+3)*5 8+3*5

(11)*5 8+15

55 23

Parentheses

Exponent

Multiply

Divide

Add

Subtract

confidence rating #$&*: 3

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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 2^(4 * 3)

(16)*3 2^12

48 4096

Parentheses

Exponent

Multiply

Divide

Add

Subtract

confidence rating #$&*: 3

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

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:

3 * 5 - 4 * 3 ^ 2 3 * 5 - (4 * 3)^2

3*5-4*9 3*5-(12)^2

15-36 3*5-144

-21 15-144

-129

Parentheses

Exponent

Multiply

Divide

Add

Subtract

confidence rating #$&*: 3

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

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.

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

-1 1

0 3

1 5

2 7

Linear

confidence rating #$&*: 3

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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.

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

-1 4

0 3

1 4

2 7

Parabola

confidence rating #$&*: 3

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

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.

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 5

2 7

3 11

4 19

Exponential

confidence rating #$&*: 3

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

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?

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Your solution:

Original # since anything divided or times 1 is itself

confidence rating #$&*: 3

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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:

Less than the original since the bigger the number on the bottom the less amount of time that number can go into it

confidence rating #$&*: 3

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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:

Greater than the original since the number on the bottom is smaller than the number and one the more time it will be able to go into the top number

confidence rating #$&*: 3

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

Self- Critique Rating: OK"

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