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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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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.

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.

what are the example of quotient orf rational algebraic expression.

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.

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

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.

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.

an example of a expression is [7+3] x 20- 7= 13

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.

an algebraic expression is an expression built up from constants, variables, and a finite number of algebraic operations (addition, subtraction, multiplication,division and exponentiation to a power that is a rational number). For example,

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.

2a+3a=5a

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