Question

(Attachment) 1.Create a rational expression to be your game piece. You may choose from the list of factors below or make your own. There must be a variable term in both the numerator and denominator. •(5x)
•(2x)
•(x + 4)
•(x – 5)
•(2x + 1)
•(3x + 5)

2.Turn one. Flip your coin and perform the appropriate operation. Explain to the game master how to add your rational expression to the one on the correct space. Use complete sentences.

3.Turn two. Flip your coin and perform the appropriate operation. Discuss and identify any possible restrictions that exist with (or in) the resulting rational expression.

4.Turn three. Flip your coin and perform the appropriate operation. Explain to the game master how to multiply your rational expression to the one on the correct space. Use complete sentences.

5.Turn four. Flip your coin and perform the appropriate operation. Discuss why the degree of the resulting denominator did not change from your expression’s degree.

6.Turn five, the final level! Perform the appropriate operation. Using complete sentences, describe the steps you used.

Answer 1

@Ranga.. Time to bother you again, my math angel! LOL

Answer 2

1. We are asked to create a rational expression with a numerator and a denominator and we have to choose them from the list they have provided.
Let us pick 2x for the numerator and (x-5) for the denominator. So the rational expression we have created is: 2x/(x-5)

2. Assume you flipped a coin and got heads. From the link you provided, for Turn 1, we need to add: 2x/(x-5) + (x+1)/(2x). Are you familiar with adding these types of expressions? It is just like adding fractions: a/b + c/d = (ad + bc) / bd.
Can you tell me what you get when you add: 2x/(x-5) + (x+1)/(2x) ?

Answer 3

For 3) Assume you flip a coin again and this time you get Tails. Then you need to do the following subtraction: (2x)/(x-5) - x/(x-4) = ?
After doing the subtraction they also want you to discuss any possible restrictions. Whenever you have an expression in the denominator, you have to make sure the denominator does not become zero. The expression will be undefined when the denominator is zero. It applies to the expression you created, to the expression you add or subtract or do any other math operation and it applies to the result of the operation. So find all the values of x that would make the bottom zero in any of the expressions and sate that those x values are not allowed. That would be the restrictions on x.

Answer 4

2. This is what my calculator came up with.

Answer 5

You just need to add the two rational expressions and give the result. Not set the result to zero and solve for x like you did with the calculator.
2x / (x-5) + (x+1) / (2x) = { (2x)(2x) + (x + 1)(x - 5) } / (2x)(x - 5) =
{ 4x^2 + x^2 - 5x + x - 5 } / (2x)(x - 5) = (5x^2 - 4x - 5) / / (2x)(x - 5)

Answer 6

The calculator always makes me set it to 0, or else it won't calculate it. :/
So the answer to the first one is (2x)(x-5)?

Answer 7

Answer to 1) is: (2x) / (x-5) (in you answer above, the division symbol is missing).

Answer to 2) is: (5x^2 - 4x - 5) / (2x)(x - 5). But you have to show the work. You have to say you flipped a coin and got heads and so you added the rational expression you created to the expression in the link for Heads, Turn 1 and show the work done in my previous reply.

For 3) You can either flip a coin or you can assume you flipped a coin and got, say, tails. Then you need to subtract 2x / (x - 5) - x / (x - 4). They don't expect you to use a calculator for addition, subtraction, multiplication, etc. of rational expressions. Do the subtraction similar to what I did for addition in 2)

For 4) assume, say, heads, and now multiply: 2x / (x - 5) * (x - 4) / (x + 1).

And you can finish the rest of the questions in a similar way.

Answer 8

Oh, alright, I see! I'll work on them.
By the way, sorry for my slow replies.. Life is kinda hecktic right now.. LOL