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Daisy and Alexander each have a group of algebra tiles on their desks as described.
below Daisy has these tiles x, x, x ^ 2, 1, x ^ 2, x, x ^ 2 x + x

Alexander has ,x², x, 1, 1 ,1, x, x², x and 1

a. Sketch each girls tiles

b.) if the girls put their tiles together, how many of each type of the tile will they have? write an expression that represents this sum.

my question: I don't get I at all!!

Respuesta :

Answer:

See explanation

Step-by-step explanation:

Note that for this solution, I assumed Daisy to have x, x, x^2, 1, x^2, x, x^2, x, and x (in the question, punctuation begins to fall apart near the end of Daisy's tile list and it's a bit hard to interpret).

a. For this part, you draw their algebra tiles (image attached). Make sure the 1 tiles are a different size than the x tiles, and that the x tiles are long rectangles so that x^2 tiles are able to be larger squares with each side as long as the x rectangles (that might not have made a lot of sense--just take a look at the image, it's the best way to show it).

b. For this part, count up all of the different tile types, such as x^2, x, 1, etc. You should count:

  • Five x^2 tiles
  • Eight x tiles
  • Five 1 tiles.

Now, add all of these tiles up, combining like terms as you can.

You should get: [tex]5x^{2} + 8x + 5[/tex] which is the most simplified form (it cannot be factored).




Image credit: https://study.com/academy/lesson/algebra-activities-with-tiles.html

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