Algebra I, Part 1
Algebra I, Part 2
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Complete the follow assignments:
- Complete all Algebra I, Part 1 lessons/tests
- After completing Part 1, Complete all Algebra I, Part 2 lessons/tests
Prepare and email the following to your instructor:
1. Submit one of the papers defined below:
Project Research Papers (MLA format not required):
- The set of prime numbers between 1 and 1000, inclusively, can be mathematically determined. Write a paper which defines the characteristics of prime numbers and then describe any mathematical process which will determine the set of prime numbers and how many exist in the set of numbers from 1 through 1000. [Hint: 1 is a prime number, but 1000 is not a prime number.] Document your mathematical evidence supporting your mathematical process. Include in your evidence the smallest 10 prime numbers and the largest 10 prime numbers in the set.
- First, you are to solve the following problem showing your work, and second, write a paper that describes the value of the solution technique you used:
Five sailors survive a shipwreck and swim to a tiny island where there is nothing but a very large coconut tree and a monkey. The sailors gather all the coconuts and put them in a big pile under the tree. Exhausted, they agree to go to wait until the next morning to divide up the coconuts.
At one o'clock in the morning, the first sailor wakes up. He realizes that he can't trust the others, and decides to take his share now. He divides the coconuts into five equal piles, but there is one coconut left over. He gives that coconut to the monkey, hides his coconuts (one of the five piles), and puts the rest of the coconuts (the other four piles) back under the tree.
At two o'clock, the second sailor wakes up. Not realizing that the first sailor has already taken his share, he too divides the coconuts up into five piles, leaving one coconut over which he gives to the monkey. He then hides his share (one of the five piles), and puts the remainder (the other four piles) back under the tree.
At three, four, and five o'clock in the morning, the third, fourth, and fifth sailors each wake up and carry out the same actions.
In the morning, all the sailors wake up, and try to look innocent. No one makes a remark about the diminished pile of coconuts, and no one decides to be honest and admit that they've already taken their share. Instead, they divide the pile up into five piles, for the sixth time, and find that there is yet again one coconut left over, which they give to the monkey.
The Question : What is the smallest amount of coconuts that there could have been in the original pile ?
- First, you are to solve the following problem showing your work, and second, write a paper that describes the value of the solution technique you used:
Yesterday evening, Helen and her husband invited their neighbors (two couples) for a dinner at home. The six of them sat at a round table. Helen tells you the following:
"Victor sat on the left of the woman who sat on the left of the man who sat on the left of Anna.
Esther sat on the left of the man who sat on the left of the woman who sat on the left of the man who sat on the left of the woman who sat on the left of my husband.
Jim sat on the left of the woman who sat on the left of Roger.
I did not sit beside my husband."
The Question : What is the name of Helen's husband ?
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