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Type: Multiple-Choice
Category: Polynomials and Rational Expressions
Level: Grade 11
Standards: HSA-APR.C.4
Author: nsharp1
Created: 7 months ago

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Polynomials and Rational Expressions Question

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Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.C.4

Sam claims that for any two consecutive integers, the difference of the larger number squared and the smaller number squared is always odd. He writes an identity he says proves this, which is [math](n+1)^2 - n^2 = 2n-1[/math]. Is this true? If not, choose the reason why.
  1. It is true.
  2. [math]2n-1[/math] is not always an odd number.
  3. It is not an identity.
  4. It is only true for some numbers.
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