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MCAP, Maryland Comprehensive Assessment Program

This page shows questions in the Algebra I Seeing Structure in Expressions public release module at MSDE. Algebra 1
"Algebra I Seeing Structure in Expressions"

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This is a multiple choice question that allows you to select only one option.

The drawing shows the plan for a rectangular courtyard with a square garden at its center.

60 feet Garden feet Courtyard 45 feet feet x x Image A gray rectangle labeled courtyard has width 60 feet and height 45 feet. A square inside the courtyard is labeled garden and has a width and height of x feet.

The expression two thousand seven hundred minus x squared gives the area of the courtyard, in square feet, not including the garden.

Which expression represents the area of the courtyard if the length of each side of the square garden is increased by n feet?

  1. A.
    open parenthesis two thousand seven hundred plus n close parenthesis minus x squared
  2. B.
    two thousand seven hundred minus x squared plus n squared
  3. C.
    two thousand seven hundred minus open parenthesis x plus n close parenthesis squared
  4. D.
    two thousand seven hundred minus open parenthesis x minus n close parenthesis squared

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