Consider Set A, which contains twelve consecutive integers. Set B includes all the unique integers obtained by adding 3 to each integer in Set A and all the integers obtained by subtracting 3 from each integer in Set A. How many more integers are present in Set B compared to Set A?

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Solution: Set A: y, y+1, y+2, y+3, y+4, y+5, y+6, y+7, y+8, y+9, y+10, y+11. Total: 12 integers. Set B: y+3, y+4, y+5, y+6, y+7, y+8, y+9, y+10, y+11, y+12,…

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What this question tests

What it tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Common trap

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.