An expression is any combination of symbols that can be evaluated to a number (or perhaps to some other data type). An equation has an equal sign, and an expression on both sides of the equal sign - it is a claim that the two expressions are equal.
Both have a value
An equation has the 'equals' sign ( = ) in it. An expression hasn't.
An equation consists of two expressions, one on either side of an equality symbol.
A proportion is generally multiplicative relationship between two measures of a quantity. An equation is a mathematical statement that relates two quantities. The quantities may contain a number of expressions, with each expression comprising a number of numerical constants, variables and functions.
equations have an = sign, inequalities do not
expressions don't have an equal sign and equations do
Both have a value
Yes. An equation has an "=" sign.
similarities and differences between ordinary fractions and rational expressions.
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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 equation has the 'equals' sign ( = ) in it. An expression hasn't.
Linear equations are a tiny subset of functions. Linear equations are simple, continuous functions.
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Equations are mathematical statements that show the equality of two expressions, typically separated by an equal sign. They are used to solve for unknown variables by manipulating the expressions to find a solution that satisfies the equation. Equations play a fundamental role in mathematics and are used in various fields to describe relationships between quantities.
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