GCSE Maths Practice: algebraic-proof

Question 1 of 11

This question shows how sums of even and odd numbers behave.

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\( \text{Prove that the sum of an even and odd number} \\ \text{is always odd. Which expression is correct?} \)

Choose one option:

\( n + m = 2(k + l) \) \( n + m = 2(k + l) + 1 \) \( n + m = 2(k - l) + 1 \) \( n + m = 2(k + l) - 1 \)

Express each number in standard form and simplify step by step.

Even numbers can be written as 2k, odd as 2l+1. Summing them always yields an odd number.