Answered

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Patti, Emilie, and Carla are debating the answer to part (d) of problem 2-26. Patti wrote. Carla thinks that the answer is. Emilie is convinced that the answer is. Discuss with your team how each person might have arrived at her answer. Who do you think is correct? When you decide, write an explanation on your paper and justify your answer.

Sagot :

fichoh

The algebraic expressions given by the three students which was derived using the tiles represented in the figure are all correct.

Patti's algebraic expression :

2 - 1 + 2x - 3 could be broken down as follows :

  • 2 = two shaded tiles with each having a +1 value
  • -1 = white tile which has a - 1 value
  • 2x = two shaded tiles labeled x
  • -3 = 3 shaded tiles in the negative portion of the rectangle, with each having a - 1 value.

Carla's Expression :

2x + 2 - 4 could be explained thus :

  • Carla builds on Patti's expression by summing up the negative values of the tiles.

  • 2x + 2 - 1 - 3 = 2x + 2 - 4

Emile's expression :

2x - 2 could be explained thus ;

  • Emile simplified the expression further by adding all the constant values to produce a simplified expression

2x + 2 - 1 - 3

2x + 2 - 4

2x - 2

Therefore, all the algebraic representation of the tiles  given by the students are all correct.

Learn more :https://brainly.com/question/18112348

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