Test out your knowledge of Algebraic Proof with our final quiz! (if you haven’t completed the worksheets yet, I strongly recommend you do this first…)
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Select the algebraic expression/equation that proves that the sum of any two consecutive odd numbers is always even.
Select the algebraic expression/equation that proves that the difference between any two consecutive odd numbers is always two.
Select the algebraic expression/equation that proves that the mean of three consecutive integers is always the middle number
Select the algebraic expression/equation that proves that the sum of any three consecutive even integers is always even.
Select the algebraic expression/equation that proves that 8 (n+7) – 5(n+4) is always a multiple of 3
Select the algebraic expression/equation that proves that the sum of the squares of any two positive integers is always even
Select the algebraic expression/equation that proves that n^{2}-2-(n-2)^{2} is always an even number
Select the algebraic expression/equation that proves that the sum of four consecutive integers is not a multiple of four
Select the algebraic expression / equation that proves that the difference between the squares of any two consecutive odd numbers is always a multiple of 8