Algebra is a set of techniques to represent mathematical relationships and solve mathematical problems. It’s a toolkit that involves representing numbers by symbols (so the relationships hold true for any numbers the symbols might represent) and following rules when manipulating the symbols (so the relationships hold true at every step).
The toolkit of algebra can be used in virtually any branch of mathematics. Is it likely that these skills will be used in everyday life? Possibly not. But having no competence in this toolkit will close off all sorts of potential activities.
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