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3 + 4 = 9 is not an expression, it is an equation (which happens to be false).

An equation without a variable is simply a statement which is either true (a tautology) or false. It's main use is probably at the end of a proof where you may show that the left hand side of some equation is numerically the same as the right hand side which proves your proposition.

n + 4 = 9 is also not an expression, but an equation. An equation with a variable can divide the domain into distinct partitions such that the equation is true if the value of the variable is within those partitions and not if they are outside. This may enable you to derive further information about he variable(s).

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Q: Do all algebraic expressions have to have variables for example would 3 plus 4 equals 9 be an expression or would it need to be n plus 4 equals 9 to be an expression?
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Related questions

Why are algebraic expressions called variables?

Algebraic expressions may contain variables but they are not normally called variables. In fact, if they are related to identities, they need not be variable. For example, (4x2 + 8xy + 4y2)/(x + y)2 is an algebraic expression, but it is not a variable: it equals 4.


What is the difference between a numerical expression and a algebraic expression?

Numerical expressions solely include numbers, while algebraic expressions may contain a variable like x. An example of a numerical expression is 1+2 and an example of an algebraic expression is 2x+3y=0.


Why do you have to solve quotient of rational algebraic expressions?

what are the example of quotient orf rational algebraic expression.


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Algebraic expressions are mathematical phrases that contain numbers, operations and at least one variable. An example of an algebraic expression would be : 4x + 3= 9x.


Can a algebraic expression have more than one operation?

Yes. In general, you can combine expressions into more complicated expressions. For example, adding an expression to another expression will, again, yield an expression.


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No, not all expressions contain variables. An expression is a mathematical phrase that combines numbers, variables, and mathematical operations. A variable is a symbol that represents a quantity that can vary, such as x or y. Some expressions may only contain numbers and mathematical operations, such as addition, subtraction, multiplication, and division. For example, "3 + 5" is an expression that only contains numbers and the addition operation. However, an expression that contains at least one variable is known as an algebraic expression, and this type of expression is commonly used in algebra to represent mathematical relationships between variables. For example, "2x + 4" is an algebraic expression that contains the variable x and represents a linear equation in which y is equal to two times x plus four.


How are algebraic expressions and equations alike?

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A variable is a single letter that represents a number. For example x is a variable.An algebraic expression can contain variables, numbers, mathematical symbols, etcetera. An example of an algebraic expression is 3x+12.


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An algebraic expression is a term used in algebra, describing an expression containing one or more numbers, variables, and arithmetic operations. An example sentence would be: They all agreed to algebraic expression seemed impossible.


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In many cases you can simplify an algebraic expression. You don't really "solve" them; an equation can be solved. An equation is a declaration that two expressions are equal, for example, x + 3 = 10.