# Expression vs. Equation: What's the Difference?

Edited by Sawaira Riaz || By Sumera Saeed || Published on November 22, 2023

Expression is a mathematical phrase without an equals sign, whereas equation is a statement showing equality between two expressions.

## Key Differences

Expression and equation are fundamental concepts in mathematics, each with a distinct purpose. An expression can be thought of as a mathematical phrase, representing a particular value or set of values, but it doesn't assert any kind of balance or equality. An equation, on the other hand, serves as a declaration that two expressions are equivalent, meaning they represent the same value.

Sumera Saeed

Nov 22, 2023

In arithmetic, an expression might involve numbers, variables, and operations, but it won't make a claim about the relationship between different expressions. An equation, however, will connect two expressions with an equals sign, illustrating that they hold the same value. For instance, "3 + 4" is an expression, but "3 + 4 = 7" is an equation.

Sumera Saeed

Nov 22, 2023

In algebra, an expression could be as simple as a single variable or as complex as a polynomial. An equation in algebra often sets an expression equal to another, facilitating the process of solving for unknowns. The utility of equations becomes evident in contexts like system of equations, where multiple equations are used to determine the values of multiple variables.

Sumera Saeed

Nov 22, 2023

Broadening the scope beyond mathematics, the term "expression" can also signify a manifestation of feeling, thought, or character. In contrast, "equation" in broader contexts can denote a process of equating one thing with another, suggesting a kind of balance or equivalence between them.

Janet White

Nov 22, 2023

## Comparison Chart

### Definition

A mathematical phrase

A statement of equality between two expressions

Sumera Saeed

Nov 22, 2023

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### Includes

Numbers, variables, and operations

Two expressions separated by an equals sign

Sumera Saeed

Nov 22, 2023

### Broader Meaning

Manifestation of feeling, thought, or character

Equating one thing with another

Harlon Moss

Nov 22, 2023

## Expression and Equation Definitions

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#### Equation

A mathematical statement showing the equality of two expressions.

2 + 2 = 4 is an equation.

Aimie Carlson

Nov 01, 2023

#### Expression

A particular word or phrase.

Raining cats and dogs is an idiomatic expression.

Aimie Carlson

Nov 01, 2023

#### Equation

A situation or problem requiring resolution.

The detectives faced a complex equation in the murder mystery.

Sara Rehman

Nov 01, 2023

#### Expression

The process of making one's thoughts known.

Poetry is a form of artistic expression.

Aimie Carlson

Nov 01, 2023

#### Equation

A process of equating one thing with another.

His equation of love with sacrifice touched many.

Sara Rehman

Nov 01, 2023

#### Expression

A manifestation of feeling or emotion.

A smile is an expression of happiness.

Janet White

Nov 01, 2023

#### Equation

A formula representing a relationship between variables.

Einstein's E=mc^2 is a famous equation in physics.

Janet White

Nov 01, 2023

#### Expression

A demonstration of a particular quality.

Her painting was an expression of her inner turmoil.

Harlon Moss

Nov 01, 2023

#### Equation

A statement indicating equivalence.

The coach made an equation between hard work and success.

Janet White

Nov 01, 2023

#### Expression

The act of expressing, conveying, or representing in words, art, music, or movement; a manifestation

An expression of rural values.

Sumera Saeed

Oct 31, 2023

#### Expression

Something that expresses or communicates

Let this plaque serve as an expression of our esteem.

Sumera Saeed

Oct 31, 2023

#### Equation

(Mathematics) A statement asserting the equality of two expressions, usually written as a linear array of symbols that are separated into left and right sides and joined by an equal sign.

Sumera Saeed

Oct 31, 2023

## FAQs

#### Can "5 + 7" be termed an equation?

No, "5 + 7" is an expression; "5 + 7 = 12" is an equation.

Sumera Saeed

Nov 22, 2023

#### What is an expression in mathematics?

An expression is a mathematical phrase without an equals sign.

Sumera Saeed

Nov 22, 2023

#### Are all mathematical phrases with an equals sign equations?

Yes, mathematical statements with an equals sign are equations.

Sara Rehman

Nov 22, 2023

#### In what context might "expression" mean a display of emotion?

In general language, "expression" can refer to showing feelings, like a facial expression.

Harlon Moss

Nov 22, 2023

#### In what scenarios is "equation" used outside mathematics?

It can refer to situations requiring resolution or equating one thing with another.

Sumera Saeed

Nov 22, 2023

#### Do expressions always have operations?

No, an expression can be as simple as a single number or variable.

Harlon Moss

Nov 22, 2023

#### How does an equation differ from an expression?

An equation shows equality between two expressions.

Sawaira Riaz

Nov 22, 2023

#### Can equations have variables?

Yes, equations can have variables, like "x + 3 = 7."

Sumera Saeed

Nov 22, 2023

#### What is the primary purpose of an equation in algebra?

To show that two expressions are equivalent and often to solve for unknowns.

Sumera Saeed

Nov 22, 2023

#### Can expressions represent a single value?

Yes, an expression like "3x" represents a value, depending on x.

Aimie Carlson

Nov 22, 2023

#### What does it mean when two expressions are set equal in an equation?

It means they represent the same value.

Aimie Carlson

Nov 22, 2023

#### Is "sadness" an expression?

In a broader sense, "sadness" can be felt and shown as an emotional expression.

Aimie Carlson

Nov 22, 2023

#### How does an expression become an equation?

By setting it equal to another expression, like turning "x + 2" into "x + 2 = 5."

Sumera Saeed

Nov 22, 2023

#### Can an equation be true or false?

Yes, an equation can be true (like 2 + 2 = 4) or false (like 2 + 2 = 5).

Harlon Moss

Nov 22, 2023

#### Why are equations important in mathematics?

Equations establish relationships and allow for problem-solving by setting expressions equal to one another.

Sumera Saeed

Nov 22, 2023

#### Can expressions have operations like addition and subtraction?

Yes, expressions can include operations like "a + b" or "c - d."

Aimie Carlson

Nov 22, 2023

#### Are equations only restricted to mathematics?

No, equations can also denote situations or the process of equating things in broader contexts.

Sumera Saeed

Nov 22, 2023

About Author

Written by

Sumera SaeedSumera is an experienced content writer and editor with a niche in comparative analysis. At Diffeence Wiki, she crafts clear and unbiased comparisons to guide readers in making informed decisions. With a dedication to thorough research and quality, Sumera's work stands out in the digital realm. Off the clock, she enjoys reading and exploring diverse cultures.

Edited by

Sawaira RiazSawaira is a dedicated content editor at difference.wiki, where she meticulously refines articles to ensure clarity and accuracy. With a keen eye for detail, she upholds the site's commitment to delivering insightful and precise content.