In the grand story of algebra, two characters play the leading roles: the courageous Variable and the stoic Constant.
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A Constant is a number with a known, unchanging value. The number 7 is always 7. It is predictable and reliable.
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A Variable is a symbol, usually a letter like 'x', that represents a value that is unknown, or that can change.
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The Constant is the bedrock, the foundation. The Variable is the mystery, the potential.
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Constants give you the facts of the situation. Variables represent the questions you need to answer.
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In the equation 'x + 5 = 12', 5 and 12 are the constants. They are the fixed parts of our story.
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'x' is the variable. It is the hero of our story, whose true identity we are trying to discover.
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Algebra is the epic tale of the relationship between these two characters.
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Understanding this fundamental difference is the first step to reading and understanding the language of algebra.
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One is what you know. The other is what you seek. The story begins.
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