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Two Letters

Part of the Expressions & Data section of Coddy's Pre-Algebra journey. Lesson 18 of 51.

An expression can hold more than one letter. In 3x+2y+x−5y3x+2y+x-5y, the x terms are like each other and the y terms are like each other, but an x term and a y term are unlike. Collect each letter on its own.

The x terms are 3x+x3x+x, which is 4x4x. The y terms are 2y−5y2y-5y, which is −3y-3y. So the expression simplifies to 4x−3y4x-3y, and that is as far as it goes.

Why stop there? x and y can be different numbers, so 4x - 3y has no single number of anything to combine into. It is like adding 4 metres to 3 kilograms: two quantities, written side by side.

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Challenge

Simplify 2a+3b−a+4b2a+3b-a+4b and type the result as your next line.

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2a+3b−a+4b2a+3b-a+4b

Simplify

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