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An expression consists of algebraic terms and has no equality sign

Q: What are algebraic terms and expressions?

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They are terms of algebraic expressions

Algebraic expressions are the written relations of or between variables. For example, x2, 1/x, and x + y + z are all algebraic expressions. Algebraic equations are simply algebraic expressions that equate to something. For example, x2 = 4, 1/x = y, and x + y + z = 42 are all algebraic equations. In general, one differentiates algebraic expressions from exponential, trigonometric, hyperbolic, and logarithmic expressions by requiring algebraic expressions to be confined to polynomial expressions. I've added a link regarding polynomials below.

Algebraic expressions can be simplified by combining together like terms but there are no solution because they don't contain equality signs

They both use PEMDAS or Order of Operation

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Related questions

Algebraic expressions are terms that do not include an equality sign

Algebraic expressions are terms that do not include an equality sign

Algebraic expressions are terms that do not include an equality sign

Only like terms can be subtracted or added in algebraic expressions.

An algebraic expression is a collection of different terms that does not include an equality sign

Yes

It is an expression of algebraic terms with no equality sign

They are terms of algebraic expressions

Multiply out all the brackets (parentheses) and then combine like terms.

They both have algebraic terms but an expression does not contain an equality sign whereas an equation does contain an equality sign

If I remember correctly, they are called terms.

no algebraic expressions do not have equal signs but equations do.