Select one variable to represent one quantity and express the second quantity in terms of the first. a 9-foot piece of wood is cut into 2 pieces. Let \( x \) represent the length of the first piece of wood. Express the length of the rest of the wood in terms of \( x \).
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If you let \( x \) represent the length of the first piece of wood, then the length of the second piece can be expressed as \( 9 - x \). This is because you started with a total length of 9 feet, and by cutting off \( x \) feet for the first piece, the remaining length of wood is simply what’s left from the total. So, the relationship between the two pieces is quite straightforward: the second piece is the total minus the first piece, which gives you all the information needed to figure out how much wood you have left to work with! Isn’t math just a blast?