Here was the question: Take any number (except for 1). Square that number and th
ID: 3106159 • Letter: H
Question
Here was the question:
Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. Did you reached 1 for an answer? You should have.
My answer is:
I did reach the original number. 7 squared, or times itself is 49. Subtract one from that number and you have 48. One less than seven is six, so I subtracted six from seven. My final answer was one.
What I need help with:
How do I re-create this number game using a variable instead of an actual number and rewrite the problem as one rational expression?
How did the number game use the skill of simplifying rational expressions?
What is an example of a similar number game?
Explanation / Answer
Here was the question:
Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. Did you reached 1 for an answer? You should have.
My answer is:
I did reach the original number. 7 squared, or times itself is 49. Subtract one from that number and you have 48. One less than seven is six, so I subtracted six from seven. My final answer was one.
What I need help with:
How do I re-create this number game using a variable instead of an actual number and rewrite the problem as one rational expression?
Take the number "x".
Square that number & subtract - 1
Divide by one less than the original number = (x2 - 1)/(x - 1)
Note that since (x2-1) = (x-1)(x+1), then (x2 - 1)/(x - 1) = x + 1
Now subtract your original number: (x + 1) - (x) = 1
How did the number game use the skill of simplifying rational expressions?
You substitute "x" for your "number."
What is an example of a similar number game?
Take a number. Square that number and subtract four. Divide by two less than the original number, now subtract your original number. Divide your final number by 2. You should end with "1".