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IMAS 2020–2021 Junior Division — First Round Question 7

IMAS · IMAS 2020–2021 Junior Division — First Round

Question 7

Let $x$ and $y$ be real numbers such that $|x|=5$, $|y|=7$ and $x\lt y$. What is the value of the algebraic expression $x^2+xy-y^2$?
  1. $-59$
  2. $59$
  3. $11$ or $59$
  4. $-11$ or $59$
  5. $11$ or $-59$