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Equations Meaning: Definition, Examples, and Translations

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equations

[ɪˈkweɪʒənz ]

Definitions

Context #1 | Noun

mathematics

A statement that the values of two mathematical expressions are equal (indicated by the sign =). Equations are used to solve problems in algebra, calculus, and other branches of mathematics.

Synonyms

formula, mathematical equation, mathematical statement.

Which Synonym Should You Choose?

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Word Description / Examples
equations

General usage for any mathematical expression that asserts the equality of two expressions. It can be used both in everyday language and academic settings.

  • We need to solve these equations before moving on to the next chapter.
  • His notebook was filled with equations and diagrams.
mathematical statement

Used in academic and formal settings to refer to declarative sentences that are either true or false within the context of mathematics. It's often broader than just equations.

  • The mathematical statement 'all even numbers are divisible by 2' is true.
  • Every proof in this chapter starts with a mathematical statement.
formula

Specific and systematic expressions used to represent mathematical principles, chemical mixtures, or scientific relationships. Common in both education and professional settings.

  • We use the formula E=mc^2 to illustrate the relationship between energy and mass.
  • Remember to apply the quadratic formula to find the roots of the equation.
mathematical equation

Typically used in more formal or academic settings to specify that the equation belongs to the field of mathematics. Emphasizes the mathematical nature of the equation.

  • A mathematical equation like x + y = z can represent a wide variety of problems.
  • The lecturer wrote a complex mathematical equation on the board.

Examples of usage

  • We need to solve the equation 2x + 5 = 11 to find the value of x.
  • The quadratic equation ax^2 + bx + c = 0 can be solved using the quadratic formula.
Context #2 | Noun

physics

In physics, an equation represents a relationship between physical quantities, usually expressed using mathematical symbols. Equations are fundamental in describing natural phenomena and predicting outcomes.

Synonyms

formula, mathematical expression, physical relationship.

Which Synonym Should You Choose?

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Word Description / Examples
equations

Equations are used to describe mathematical relationships between variables that are equal to each other, often found in math, physics, and engineering.

  • The quadratic equation is used to find the roots of a polynomial
  • Newton's second law is represented by the equation F = ma
physical relationship

Physical relationships describe how physical quantities are related to each other, often used in physics to explain natural phenomena.

  • Ohm's Law describes the physical relationship between voltage, current, and resistance: V = IR
  • Boyle's Law describes the relationship between the pressure and volume of a gas: P1V1 = P2V2
formula

Formulas are used to provide a concise way of expressing information symbolically, such as mathematical, scientific, and technical information. Often, formulas relate variables in a standard format.

  • The area of a circle is given by the formula A = πr²
  • The quadratic formula is used to solve quadratic equations: x = (-b ± √(b²-4ac)) / 2a
mathematical expression

Mathematical expressions are combinations of numbers, operators, and sometimes variables that represent a value. They do not necessarily imply equality like equations.

  • 3x + 2 is a simple mathematical expression
  • The expression 4(3 + 5) can be simplified to 4 * 8

Examples of usage

  • Newton's second law of motion is expressed as the equation F = ma.
  • The equation E = mc^2 relates energy (E) to mass (m) and the speed of light (c).

Translations

To see the translation, please select a language from the options available.

Origin of 'equations'

The word 'equations' originates from the Latin word 'aequatio,' which means 'a making equal.' The concept of equations has been integral to the development of mathematics and science throughout history. From ancient civilizations to modern-day applications, equations have played a crucial role in solving problems and understanding the world around us.

See also: equation, equator.

Word Frequency Rank

At position #2,476, this word belongs to solid intermediate vocabulary. It's frequently used in both casual and formal contexts and is worth learning for better fluency.