Pronunciation

/ɪˈkwæʃən/

Definitions

• Noun: (n) A mathematical statement that shows the equality of two expressions, often using symbols or variables, typically written as “a = b”. For example: “The equation 2x + 3 = 7 represents the relationship between x and the numbers 2, 3, and 7.”
  • Physics A formula that expresses the relation between different physical quantities, like E=mc², where E represents energy, m mass, and c the speed of light.
  • General A statement asserting the equivalence of two or more things; a balanced relationship or analogy.

Example Sentence:

• Noun: “Solving algebraic equations requires understanding how to manipulate variables.”

Phrases

• “Equation of a line” describes the mathematical formula that defines a straight line on a graph.
• “Solve the equation” means to find the value(s) for the variable(s) that make the equation true.
• “In equilibrium”, which comes from the concept of equations, means a state where opposing forces or influences are balanced.

Example Sentences

• Mathematical context: “To check your answer, substitute the values back into the original equation.”
• Scientific context: “Einstein’s famous equation fundamentally changed our understanding of energy and matter.”

Synonyms

• Expression
• Formula
• Equation of State
• Equality
• Balance
• Identity (in mathematics)
• Relation (in mathematics)