MTTC Mathematics (Secondary) (022) Practice Questions - MTTC Mathematics (Secondary) (022) Test Exam

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A student claims that because 3 + 5 = 8 and 8 is even, the sum of two odd numbers is always even. Which form of reasoning best describes a valid proof of this claim for ALL odd integers?

Representing odd integers generally as 2m + 1 and 2n + 1 and showing their sum equals 2(m + n + 1) Testing many additional pairs of odd numbers and finding they are all even Drawing a picture of dots arranged in pairs Noting that the claim worked for 3 and 5

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Representing odd integers generally as 2m + 1 and 2n + 1 and showing their sum equals 2(m + n + 1)

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