Additions and Subtractions of Linear Algebraic Expressions

Additions and Subtractions of Linear Algebraic Expressions

TGM Original Questions

Adrian purchased \(13\) erasers at \(\$\ (1 - x)\) each and \(26\) pens at \(\$\ (2y + 3)\) each. He then bundled it into packs of \(2\) pens and an eraser and sold it for \(\$\ (8x - 3y)\) at a school fundraiser event. He sold everything at the end of the event.

Find and simplify, in terms of \(x\) and \(y\), an expression for

  1. the total cost of a bundled pack,
  2. the amount of money collected from the sales of all the bundled packs,
  3. the total profit from the sales of all the bundles packs.

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Answer:(a) \(\$(-x+4y+7)\) (b) \(\$(104x-39y)\) (c) \(\$(117x-91y-91)\)

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