Question

Six students are working to simplify the expression shown. Drag each student’s answer to a box to show whether it is fully simplified equivalent to the given expression but not fully simplified, or not equivalent to the given expression.

Answer 1

Answer: The arrows show the appropriate destination for your dragging.

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Combining like terms in the given expression makes it simplify to ...

(2x -18x) +(14y) +(9 -10) = -16x +14y -1

We are to compare this expression with the offered expressions to see if they simplify to the same thing. We'll examine those left-to-right starting with the top row:

2x -18x +14y -19 = -16x +14y -19 . . . not the same

-2xy -1 . . . not the same

16x +14y -1 . . . not the same

9 -16x +14y -10 = -16x +14y -1 . . . equivalent

-16x +14y -1 . . . equivalent and simplified

2x -18x +14y -1 = -16x +14y -1 . . . equivalent

Explanation: