algebraic manipulation
Symbolic expression transformation
Algebraic manipulation is the process of rearranging and simplifying mathematical expressions using the rules of algebra.
This includes operations like factoring, expanding, combining like terms, and isolating variables: With some algebraic manipulation, you can solve for x.
The phrase emphasizes technique over insight—moving symbols according to formal rules rather than grasping deeper mathematical meaning.
- simplificationMaking something less complex
- like termsExpressions with matching variables
- rationalizationInventing acceptable motives afterward
- additionJoining quantities mathematically
- subtractionRemoving quantities mathematically
inverse operations · transposition · substitution · expanding · cross-multiplication · common denominator · roots · factoring · distributing · multiplication · completing the square · rearranging · division · exponentiation · cancellation · normalization · order of operations
algebraic manipulationapproximation
Near but inexact value
estimation · trial and error · guesswork · computer simulation · rough calculation
algebraic manipulationspatial reasoning
Grasping arrangements and dimensions mentally
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