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Week 3 DQ 4

# Week 3 DQ 4 - to your number game in case you need to make...

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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. How does this number game work? Hint: Redo the 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? Create your own number game using the rules of algebra and post it for your classmates to solve. Think about values that may not work. State whether your number game uses the skill of simplifying rational expressions. Consider responding to your classmates by solving their number games or expanding on their games to create an even more challenging one. You may want to review responses

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Unformatted text preview: to your number game in case you need to make changes or help another student. Let’s say that x is that number. So we square it, and then subtract one. Divide by one less than the original number and subtract the original number and it should be 1. Here is the math behind it: x x2-x2 1--x2 1x 1-- -x2 1x 1 x Notice the fact that:--x2 1x 1 Can be simplified to: + x 1 So then + - = x 1 x 1 So this works for anything. Here is my game. Take any number. Square it and then subtract 25 from it. Divide the whole thing by 5 more than the original number. Now square the quantity and divide by 5 less than the original quantity. Then multiply by 5 less than the quantity and divide the result by 5 more than the original number and then subtract 5. You should end up with the original number each time....
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